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4096698544640 = 29513743316561
BaseRepresentation
bin111011100111010110010…
…000101111001000000000
3112111122021222001201211102
4323213112100233020000
51014110014311412030
612413555231233532
7601656003035252
oct73472620571000
915448258051742
104096698544640
11133a444589469
12561b740788a8
132394176365a0
141023d1b25cd2
1571870455c45
hex3b9d642f200

4096698544640 has 160 divisors (see below), whose sum is σ = 10580111798256. Its totient is φ = 1512332328960.

The previous prime is 4096698544639. The next prime is 4096698544649. The reversal of 4096698544640 is 464458966904.

It can be written as a sum of positive squares in 8 ways, for example, as 6014312704 + 4090684231936 = 77552^2 + 2022544^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (4096698544649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247361960 + ... + 247378520.

Almost surely, 24096698544640 is an apocalyptic number.

4096698544640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096698544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290055899128).

4096698544640 is an abundant number, since it is smaller than the sum of its proper divisors (6483413253616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4096698544640 is a wasteful number, since it uses less digits than its factorization.

4096698544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24030 (or 24014 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 65.

The spelling of 4096698544640 in words is "four trillion, ninety-six billion, six hundred ninety-eight million, five hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 7433 8320 14866 16561 16640 29732 33122 33280 37165 59464 66244 74330 82805 96629 118928 132488 148660 165610 193258 215293 237856 264976 297320 331220 386516 430586 475712 483145 529952 594640 662440 773032 861172 951424 966290 1059904 1076465 1189280 1324880 1546064 1722344 1902848 1932580 2119808 2152930 2378560 2649760 3092128 3444688 3805696 3865160 4239616 4305860 4757120 5299520 6184256 6889376 7730320 8479232 8611720 9514240 10599040 12368512 13778752 15460640 17223440 19028480 21198080 24737024 27557504 30921280 34446880 42396160 49474048 55115008 61842560 68893760 110230016 123097913 123685120 137787520 246195826 247370240 275575040 492391652 551150080 615489565 984783304 1230979130 1600272869 1969566608 2461958260 3200545738 3939133216 4923916520 6401091476 7878266432 8001364345 9847833040 12802182952 15756532864 16002728690 19695666080 25604365904 31513065728 32005457380 39391332160 51208731808 63026131456 64010914760 78782664320 102417463616 128021829520 157565328640 204834927232 256043659040 315130657280 409669854464 512087318080 819339708928 1024174636160 2048349272320 4096698544640