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420696963072 = 2113243530797
BaseRepresentation
bin1100001111100110111…
…11100011100000000000
31111012220002120000211200
412013303133203200000
523343041410304242
6521133203541200
742252156120141
oct6076337434000
91435802500750
10420696963072
11152464517061
126964a68a800
1330896530c59
141650cc71ac8
15ae2393704c
hex61f37e3800

420696963072 has 144 divisors (see below), whose sum is σ = 1243309387320. Its totient is φ = 136970846208.

The previous prime is 420696963031. The next prime is 420696963103. The reversal of 420696963072 is 270369696024.

420696963072 is a `hidden beast` number, since 420 + 6 + 96 + 9 + 63 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527178 + ... + 1057974.

Almost surely, 2420696963072 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 420696963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621654693660).

420696963072 is an abundant number, since it is smaller than the sum of its proper divisors (822612424248).

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

420696963072 is a wasteful number, since it uses less digits than its factorization.

420696963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530868 (or 530845 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 420696963072 in words is "four hundred twenty billion, six hundred ninety-six million, nine hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 2048 2064 2304 2752 3072 3096 4128 4608 5504 6144 6192 8256 9216 11008 12384 16512 18432 22016 24768 33024 44032 49536 66048 88064 99072 132096 198144 264192 396288 530797 792576 1061594 1592391 2123188 3184782 4246376 4777173 6369564 8492752 9554346 12739128 16985504 19108692 22824271 25478256 33971008 38217384 45648542 50956512 67942016 68472813 76434768 91297084 101913024 135884032 136945626 152869536 182594168 203826048 205418439 271768064 273891252 305739072 365188336 407652096 410836878 543536128 547782504 611478144 730376672 815304192 821673756 1087072256 1095565008 1222956288 1460753344 1630608384 1643347512 2191130016 2445912576 2921506688 3261216768 3286695024 4382260032 4891825152 5843013376 6573390048 8764520064 9783650304 11686026752 13146780096 17529040128 23372053504 26293560192 35058080256 46744107008 52587120384 70116160512 105174240768 140232321024 210348481536 420696963072