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385411428216 = 233252937101119
BaseRepresentation
bin1011001101111000100…
…11111010111101111000
31100211210222121010201100
411212330103322331320
522303310311200331
6453020000251400
736562566041523
oct5467423727570
91324728533640
10385411428216
111394a7781501
1262841610b60
132a462105549
1414922879bba
15a05aca3ae6
hex59bc4faf78

385411428216 has 48 divisors (see below), whose sum is σ = 1043852659200. Its totient is φ = 128466778752.

The previous prime is 385411428203. The next prime is 385411428263. The reversal of 385411428216 is 612824114583.

385411428216 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 1 + 1 + 428 + 216 = 666.

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, 3760905 + ... + 3862023.

It is an arithmetic number, because the mean of its divisors is an integer number (21746930400).

Almost surely, 2385411428216 is an apocalyptic number.

385411428216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385411428216 is an abundant number, since it is smaller than the sum of its proper divisors (658441230984).

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

385411428216 is a wasteful number, since it uses less digits than its factorization.

385411428216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154068 (or 154061 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 385411428216 in words is "three hundred eighty-five billion, four hundred eleven million, four hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 52937 101119 105874 158811 202238 211748 303357 317622 404476 423496 476433 606714 635244 808952 910071 952866 1213428 1270488 1820142 1905732 2426856 3640284 3811464 7280568 5352936503 10705873006 16058809509 21411746012 32117619018 42823492024 48176428527 64235238036 96352857054 128470476072 192705714108 385411428216