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856144869272 = 23711318796113
BaseRepresentation
bin11000111010101100011…
…01011111011110011000
310000211212012121121120022
430131112031133132120
5103011341041304042
61453150231450012
7115566032213360
oct14352615373630
93024765547508
10856144869272
113000a8506000
12119b15226908
1362970b08904
142d61ac159a0
151740c388cd2
hexc75635f798

856144869272 has 128 divisors (see below), whose sum is σ = 2019322137600. Its totient is φ = 333330877440.

The previous prime is 856144869247. The next prime is 856144869337. The reversal of 856144869272 is 272968441658.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140050088 + ... + 140056200.

It is an arithmetic number, because the mean of its divisors is an integer number (15775954200).

Almost surely, 2856144869272 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 856144869272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009661068800).

856144869272 is an abundant number, since it is smaller than the sum of its proper divisors (1163177268328).

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

856144869272 is a wasteful number, since it uses less digits than its factorization.

856144869272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 8012 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 62.

The spelling of 856144869272 in words is "eight hundred fifty-six billion, one hundred forty-four million, eight hundred sixty-nine thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1331 1694 1879 2662 3388 3758 5324 6113 6776 7516 9317 10648 12226 13153 15032 18634 20669 24452 26306 37268 41338 42791 48904 52612 67243 74536 82676 85582 105224 134486 144683 165352 171164 227359 268972 289366 342328 454718 470701 537944 578732 739673 909436 941402 1157464 1479346 1591513 1818872 1882804 2500949 2958692 3183026 3765608 5001898 5177711 5917384 6366052 8136403 10003796 10355422 11486327 12732104 16272806 17506643 20007592 20710844 22972654 32545612 35013286 41421688 45945308 56954821 65091224 70026572 80404289 91890616 113909642 126349597 140053144 160808578 227819284 252699194 321617156 455638568 505398388 643234312 884447179 1010796776 1389845567 1768894358 2779691134 3537788716 5559382268 7075577432 9728918969 11118764536 15288301237 19457837938 30576602474 38915675876 61153204948 77831351752 107018108659 122306409896 214036217318 428072434636 856144869272