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46292265960964 = 2217283224112
BaseRepresentation
bin10101000011010010000100…
…00100011000011000000100
320001220111102121102200220121
422201221002010120120010
522031423030041222324
6242242212353111324
712515335335166522
oct1241510204303004
9201814377380817
1046292265960964
1113828492330821
125237902258544
131caa45a3535aa
14b607b41b5312
1555427c3a15e4
hex2a1a42118604

46292265960964 has 81 divisors (see below), whose sum is σ = 87142631252341. Its totient is φ = 21513204096640.

The previous prime is 46292265960949. The next prime is 46292265960971. The reversal of 46292265960964 is 46906956229264.

The square root of 46292265960964 is 6803842.

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., 36040691492100 + 10251574468864 = 6003390^2 + 3201808^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46292265960893 and 46292265960902.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19200440919 + ... + 19200443329.

Almost surely, 246292265960964 is an apocalyptic number.

46292265960964 is the 6803842-nd square number.

It is an amenable number.

46292265960964 is a deficient number, since it is larger than the sum of its proper divisors (40850365291377).

46292265960964 is an frugal number, since it uses more digits than its factorization.

46292265960964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 70.

The spelling of 46292265960964 in words is "forty-six trillion, two hundred ninety-two billion, two hundred sixty-five million, nine hundred sixty thousand, nine hundred sixty-four".

Divisors: 1 2 4 17 34 68 83 166 289 332 578 1156 1411 2411 2822 4822 5644 6889 9644 13778 23987 27556 40987 47974 81974 95948 117113 163948 200113 234226 400226 468452 696779 800452 1393558 1990921 2787116 3401921 3981842 5812921 6803842 7963684 11625842 13607684 16609379 23251684 33218758 57832657 66437516 98819657 115665314 197639314 231330628 282359443 395278628 482472443 564718886 964944886 1129437772 1679934169 1929889772 3359868338 4800110531 6719736676 8202031531 9600221062 16404063062 19200442124 32808126124 40045212769 80090425538 139434536027 160180851076 278869072054 557738144108 680768617073 1361537234146 2723074468292 11573066490241 23146132980482 46292265960964