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13134040192 = 277133733023
BaseRepresentation
bin11000011101101100…
…11000110010000000
31020220100000101001001
430032312120302000
5203344303241232
610011140021344
7643321333240
oct141666306200
936810011031
1013134040192
11562a906879
122666691854
1313140a3420
148c849bb20
1551d0cc6e7
hex30ed98c80

13134040192 has 128 divisors (see below), whose sum is σ = 32300674560. Its totient is φ = 5180239872.

The previous prime is 13134040147. The next prime is 13134040201. The reversal of 13134040192 is 29104043131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13134040192.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4343193 + ... + 4346215.

It is an arithmetic number, because the mean of its divisors is an integer number (252349020).

Almost surely, 213134040192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150337280).

13134040192 is an abundant number, since it is smaller than the sum of its proper divisors (19166634368).

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

13134040192 is a wasteful number, since it uses less digits than its factorization.

13134040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 13134040192 in words is "thirteen billion, one hundred thirty-four million, forty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 373 416 448 728 746 832 896 1456 1492 1664 2611 2912 2984 3023 4849 5222 5824 5968 6046 9698 10444 11648 11936 12092 19396 20888 21161 23872 24184 33943 38792 39299 41776 42322 47744 48368 67886 77584 78598 83552 84644 96736 135772 155168 157196 167104 169288 193472 271544 275093 310336 314392 334208 338576 386944 543088 550186 620672 628784 677152 1086176 1100372 1127579 1257568 1354304 2172352 2200744 2255158 2515136 2708608 4344704 4401488 4510316 5030272 7893053 8802976 9020632 14658527 15786106 17605952 18041264 29317054 31572212 35211904 36082528 58634108 63144424 72165056 102609689 117268216 126288848 144330112 205219378 234536432 252577696 410438756 469072864 505155392 820877512 938145728 1010310784 1641755024 1876291456 3283510048 6567020096 13134040192