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378811825272 = 2332192473111973
BaseRepresentation
bin1011000001100101111…
…00011011110001111000
31100012210001021120102200
411200302330123301320
522201301311402042
6450005044030200
736240211246566
oct5406274336170
91305701246380
10378811825272
111367204440a1
12614bb392360
132994ca4c84a
1414498188a36
159cc16cac4c
hex5832f1bc78

378811825272 has 96 divisors (see below), whose sum is σ = 1080392336400. Its totient is φ = 119575346688.

The previous prime is 378811825219. The next prime is 378811825283. The reversal of 378811825272 is 272528118873.

It is a happy number.

378811825272 is a `hidden beast` number, since 37 + 8 + 8 + 1 + 1 + 82 + 527 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3327078 + ... + 3439050.

Almost surely, 2378811825272 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 378811825272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540196168200).

378811825272 is an abundant number, since it is smaller than the sum of its proper divisors (701580511128).

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

378811825272 is a wasteful number, since it uses less digits than its factorization.

378811825272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114477 (or 114470 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 378811825272 in words is "three hundred seventy-eight billion, eight hundred eleven million, eight hundred twenty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2473 4946 7419 9892 14838 19784 22257 29676 44514 46987 59352 89028 93974 111973 140961 178056 187948 223946 281922 335919 375896 422883 447892 563844 671838 845766 895784 1007757 1127688 1343676 1691532 2015514 2127487 2687352 3383064 4031028 4254974 6382461 8062056 8509948 12764922 17019896 19147383 25529844 38294766 51059688 76589532 153179064 276909229 553818458 830727687 1107636916 1661455374 2215273832 2492183061 3322910748 4984366122 5261275351 6645821496 9968732244 10522550702 15783826053 19937464488 21045101404 31567652106 42090202808 47351478159 63135304212 94702956318 126270608424 189405912636 378811825272