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20612112640 = 28572328637
BaseRepresentation
bin10011001100100100…
…111110000100000000
31222012111022210221021
4103030210332010000
5314203200101030
613245153035224
71326534031600
oct231444760400
958174283837
1020612112640
118818000339
123bb2b55b14
131c36454872
14dd7702c00
1580987c97a
hex4cc93e100

20612112640 has 108 divisors (see below), whose sum is σ = 57433434156. Its totient is φ = 7066988544.

The previous prime is 20612112637. The next prime is 20612112641. The reversal of 20612112640 is 4621121602.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13593694464 + 7018418176 = 116592^2 + 83776^2 .

It is not an unprimeable number, because it can be changed into a prime (20612112641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101599 + ... + 227038.

It is an arithmetic number, because the mean of its divisors is an integer number (531791057).

Almost surely, 220612112640 is an apocalyptic number.

20612112640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20612112640 is an abundant number, since it is smaller than the sum of its proper divisors (36821321516).

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

20612112640 is an equidigital number, since it uses as much as digits as its factorization.

20612112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328672 (or 328651 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 20612112640 in words is "twenty billion, six hundred twelve million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1568 1792 1960 2240 3136 3920 4480 6272 7840 8960 12544 15680 31360 62720 328637 657274 1314548 1643185 2300459 2629096 3286370 4600918 5258192 6572740 9201836 10516384 11502295 13145480 16103213 18403672 21032768 23004590 26290960 32206426 36807344 42065536 46009180 52581920 64412852 73614688 80516065 84131072 92018360 105163840 128825704 147229376 161032130 184036720 210327680 257651408 294458752 322064260 368073440 420655360 515302816 588917504 644128520 736146880 1030605632 1288257040 1472293760 2061211264 2576514080 2944587520 4122422528 5153028160 10306056320 20612112640