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468256644108 = 22321119611020247
BaseRepresentation
bin1101101000001100100…
…01010101110000001100
31122202122121111011011200
412310012101111300030
530132442200102413
6555040352545500
745554556542301
oct6640621256014
91582577434150
10468256644108
1117064a739380
1276902252290
1335205839256
14189414490a8
15c2a8e3e573
hex6d06455c0c

468256644108 has 144 divisors (see below), whose sum is σ = 1381497411840. Its totient is φ = 132223881600.

The previous prime is 468256644083. The next prime is 468256644161. The reversal of 468256644108 is 801446652864.

468256644108 is a `hidden beast` number, since 4 + 68 + 2 + 566 + 4 + 4 + 10 + 8 = 666.

It is a super-2 number, since 2×4682566441082 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51160 + ... + 969087.

Almost surely, 2468256644108 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 468256644108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690748705920).

468256644108 is an abundant number, since it is smaller than the sum of its proper divisors (913240767732).

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

468256644108 is a wasteful number, since it uses less digits than its factorization.

468256644108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020348 (or 1020343 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 468256644108 in words is "four hundred sixty-eight billion, two hundred fifty-six million, six hundred forty-four thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 61 66 76 99 114 122 132 171 183 198 209 228 244 342 366 396 418 549 627 671 684 732 836 1098 1159 1254 1342 1881 2013 2196 2318 2508 2684 3477 3762 4026 4636 6039 6954 7524 8052 10431 12078 12749 13908 20862 24156 25498 38247 41724 50996 76494 114741 152988 229482 458964 1020247 2040494 3060741 4080988 6121482 9182223 11222717 12242964 18364446 19384693 22445434 33668151 36728892 38769386 44890868 58154079 62235067 67336302 77538772 101004453 116308158 124470134 134672604 174462237 186705201 202008906 213231623 232616316 248940268 348924474 373410402 404017812 426463246 560115603 639694869 684585737 697848948 746820804 852926492 1120231206 1182466273 1279389738 1369171474 1919084607 2053757211 2240462412 2364932546 2558779476 2738342948 3547398819 3838169214 4107514422 4729865092 6161271633 7094797638 7676338428 8215028844 10642196457 12322543266 13007129003 14189595276 21284392914 24645086532 26014258006 39021387009 42568785828 52028516012 78042774018 117064161027 156085548036 234128322054 468256644108