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897456864964 = 221121741492
BaseRepresentation
bin11010000111101001001…
…10001111111011000100
310011210111022102102210211
431003310212033323010
5104200442424134324
61524141435125204
7121560550325452
oct15036446177304
93153438372724
10897456864964
11316678004900
12125b245a3804
136682593618a
14316197479d2
1518529130294
hexd0f498fec4

897456864964 has 135 divisors (see below), whose sum is σ = 1846592034721. Its totient is φ = 381361995520.

The previous prime is 897456864923. The next prime is 897456864973. The reversal of 897456864964 is 469468654798.

The square root of 897456864964 is 947342.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 311987039364 + 585469825600 = 558558^2 + 765160^2 .

It is a super-2 number, since 2×8974568649642 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6023200362 + ... + 6023200510.

Almost surely, 2897456864964 is an apocalyptic number.

897456864964 is the 947342-nd square number.

It is an amenable number.

897456864964 is an abundant number, since it is smaller than the sum of its proper divisors (949135169757).

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

897456864964 is an equidigital number, since it uses as much as digits as its factorization.

897456864964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 179 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 76.

The spelling of 897456864964 in words is "eight hundred ninety-seven billion, four hundred fifty-six million, eight hundred sixty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 149 187 242 289 298 374 484 578 596 748 1156 1639 2057 2533 3179 3278 4114 4913 5066 6358 6556 8228 9826 10132 12716 18029 19652 22201 27863 34969 36058 43061 44402 54043 55726 69938 72116 83521 86122 88804 108086 111452 139876 167042 172244 216172 244211 306493 334084 377417 473671 488422 594473 612986 732037 754834 918731 947342 976844 1188946 1225972 1464074 1509668 1837462 1894684 2377892 2686321 2928148 3674924 4151587 5210381 5372642 6416089 8052407 8303174 10106041 10420762 10745284 12444629 12832178 16104814 16606348 20212082 20841524 24889258 25664356 32209628 40424164 45667457 49778516 70576979 88576477 91334914 109073513 136890919 141153958 177152954 182669828 218147026 273781838 282307916 354305908 436294052 547563676 776346769 1199808643 1505800109 1552693538 1854249721 2399617286 3011600218 3105387076 3708499442 4799234572 6023200436 7416998884 13197895073 20396746931 26395790146 40793493862 52791580292 81586987724 224364216241 448728432482 897456864964