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10726072864 = 2513163317499
BaseRepresentation
bin10011111110101001…
…01110001000100000
31000200111222221211221
421333110232020200
5133431333312424
64532200544424
7526542054313
oct117724561040
930614887757
1010726072864
114604652331
1220b4182114
13101c2581a0
1473a76697a
1542b9d09e4
hex27f52e220

10726072864 has 96 divisors (see below), whose sum is σ = 22999032000. Its totient is φ = 4894774272.

The previous prime is 10726072829. The next prime is 10726072927. The reversal of 10726072864 is 46827062701.

It is a self number, because there is not a number n which added to its sum of digits gives 10726072864.

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, 21494887 + ... + 21495385.

It is an arithmetic number, because the mean of its divisors is an integer number (239573250).

Almost surely, 210726072864 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 10726072864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499516000).

10726072864 is an abundant number, since it is smaller than the sum of its proper divisors (12272959136).

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

10726072864 is a wasteful number, since it uses less digits than its factorization.

10726072864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 10726072864 in words is "ten billion, seven hundred twenty-six million, seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 163 208 317 326 416 499 634 652 998 1268 1304 1996 2119 2536 2608 3992 4121 4238 5072 5216 6487 7984 8242 8476 10144 12974 15968 16484 16952 25948 32968 33904 51671 51896 65936 67808 81337 103342 103792 131872 158183 162674 206684 207584 316366 325348 413368 632732 650696 671723 826736 1057381 1265464 1301392 1343446 1653472 2056379 2114762 2530928 2602784 2686892 4112758 4229524 5061856 5373784 8225516 8459048 10747568 16451032 16918096 21495136 25783829 32902064 33836192 51567658 65804128 103135316 206270632 335189777 412541264 670379554 825082528 1340759108 2681518216 5363036432 10726072864