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380574874656 = 25334110743419
BaseRepresentation
bin1011000100111000000…
…01111011110000100000
31100101022220202202112000
411202130001323300200
522213404131442111
6450500024204000
736332000026344
oct5423401736040
91311286682460
10380574874656
111374456601a9
1261911909600
1329b710a3032
14145c43a3624
159d76385c56
hex589c07bc20

380574874656 has 96 divisors (see below), whose sum is σ = 1137083572800. Its totient is φ = 123764175360.

The previous prime is 380574874637. The next prime is 380574874657. The reversal of 380574874656 is 656478475083.

380574874656 is a `hidden beast` number, since 3 + 8 + 0 + 574 + 8 + 7 + 4 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3805748746562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380574874593 and 380574874602.

It is not an unprimeable number, because it can be changed into a prime (380574874657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5336286 + ... + 5407133.

It is an arithmetic number, because the mean of its divisors is an integer number (11844620550).

Almost surely, 2380574874656 is an apocalyptic number.

380574874656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

380574874656 is an abundant number, since it is smaller than the sum of its proper divisors (756508698144).

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

380574874656 is a wasteful number, since it uses less digits than its factorization.

380574874656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10743479 (or 10743465 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 380574874656 in words is "three hundred eighty billion, five hundred seventy-four million, eight hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5904 8856 11808 17712 35424 10743419 21486838 32230257 42973676 64460514 85947352 96690771 128921028 171894704 193381542 257842056 290072313 343789408 386763084 440480179 515684112 580144626 773526168 880960358 1031368224 1160289252 1321440537 1547052336 1761920716 2320578504 2642881074 3094104672 3523841432 3964321611 4641157008 5285762148 7047682864 7928643222 9282314016 10571524296 11892964833 14095365728 15857286444 21143048592 23785929666 31714572888 42286097184 47571859332 63429145776 95143718664 126858291552 190287437328 380574874656