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9429861772864 = 26132295272
BaseRepresentation
bin1000100100111000111110…
…0011111010111001000000
31020101111010021120102201201
42021032033203322321000
52213444324103212424
632020004012110544
71662166523360461
oct211161743727100
936344107512651
109429861772864
113006200153455
1210836a1765454
13535303056a00
1424859cbd0d68
1511545b9e7d44
hex8938f8fae40

9429861772864 has 63 divisors (see below), whose sum is σ = 20263206365937. Its totient is φ = 4352096496384.

The previous prime is 9429861772813. The next prime is 9429861772913. The reversal of 9429861772864 is 4682771689249.

The square root of 9429861772864 is 3070808.

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

It can be written as a sum of positive squares in only one way, i.e., 1394949966400 + 8034911806464 = 1181080^2 + 2834592^2 .

It is a super-2 number, since 2×94298617728642 (a number of 27 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 8 ways as a sum of consecutive naturals, for example, 319349269 + ... + 319378795.

Almost surely, 29429861772864 is an apocalyptic number.

9429861772864 is the 3070808-th square number.

It is an amenable number.

9429861772864 is an abundant number, since it is smaller than the sum of its proper divisors (10833344593073).

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

9429861772864 is an frugal number, since it uses more digits than its factorization.

9429861772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59092 (or 29542 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 73.

The spelling of 9429861772864 in words is "nine trillion, four hundred twenty-nine billion, eight hundred sixty-one million, seven hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 29527 59054 118108 236216 383851 472432 767702 944864 1535404 1889728 3070808 4990063 6141616 9980126 12283232 19960252 24566464 39920504 79841008 159682016 319364032 871843729 1743687458 3487374916 6974749832 11333968477 13949499664 22667936954 27898999328 45335873908 55797998656 90671747816 147341590201 181343495632 294683180402 362686991264 589366360804 725373982528 1178732721608 2357465443216 4714930886432 9429861772864