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382047487416 = 233273720487317
BaseRepresentation
bin1011000111100111100…
…11100000010110111000
31100112010112202020110100
411203303303200112320
522224413124044131
6451302111315400
736413331030120
oct5436363402670
91315115666410
10382047487416
11138030934a41
1262062b1bb60
132a0471c662a
14146c3bb7c80
159e107c07e6
hex58f3ce05b8

382047487416 has 96 divisors (see below), whose sum is σ = 1214488211040. Its totient is φ = 106206246144.

The previous prime is 382047487403. The next prime is 382047487447. The reversal of 382047487416 is 614784740283.

382047487416 is a `hidden beast` number, since 3 + 82 + 0 + 4 + 74 + 87 + 416 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 10225011 + ... + 10262306.

It is an arithmetic number, because the mean of its divisors is an integer number (12650918865).

Almost surely, 2382047487416 is an apocalyptic number.

382047487416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

382047487416 is an abundant number, since it is smaller than the sum of its proper divisors (832440723624).

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

382047487416 is a wasteful number, since it uses less digits than its factorization.

382047487416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20487373 (or 20487366 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 382047487416 in words is "three hundred eighty-two billion, forty-seven million, four hundred eighty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1554 2072 2331 2664 3108 4662 6216 9324 18648 20487317 40974634 61461951 81949268 122923902 143411219 163898536 184385853 245847804 286822438 368771706 430233657 491695608 573644876 737543412 758030729 860467314 1147289752 1290700971 1475086824 1516061458 1720934628 2274092187 2581401942 3032122916 3441869256 4548184374 5162803884 5306215103 6064245832 6822276561 9096368748 10325607768 10612430206 13644553122 15918645309 18192737496 21224860412 27289106244 31837290618 42449720824 47755935927 54578212488 63674581236 95511871854 127349162472 191023743708 382047487416