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385495968816 = 243273710336121
BaseRepresentation
bin1011001110000010101…
…10011010110000110000
31100212000212200020121200
411213001112122300300
522303443432000231
6453032220251200
736564643445550
oct5470126326060
91325025606550
10385495968816
11139540474072
12628659a0b00
132a47679557a
141492dba5160
15a063402be6
hex59c159ac30

385495968816 has 120 divisors (see below), whose sum is σ = 1266298978464. Its totient is φ = 107164892160.

The previous prime is 385495968797. The next prime is 385495968817. The reversal of 385495968816 is 618869594583.

385495968816 is a `hidden beast` number, since 3 + 8 + 549 + 5 + 9 + 68 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (385495968817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5130765 + ... + 5205356.

Almost surely, 2385495968816 is an apocalyptic number.

385495968816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385495968816 is an abundant number, since it is smaller than the sum of its proper divisors (880803009648).

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

385495968816 is a wasteful number, since it uses less digits than its factorization.

385495968816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336179 (or 10336170 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 72.

The spelling of 385495968816 in words is "three hundred eighty-five billion, four hundred ninety-five million, nine hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 2072 2331 2664 3108 4144 4662 5328 6216 9324 12432 18648 37296 10336121 20672242 31008363 41344484 62016726 72352847 82688968 93025089 124033452 144705694 165377936 186050178 217058541 248066904 289411388 372100356 382436477 434117082 496133808 578822776 651175623 744200712 764872954 868234164 1147309431 1157645552 1302351246 1488401424 1529745908 1736468328 2294618862 2604702492 2677055339 3059491816 3441928293 3472936656 4589237724 5209404984 5354110678 6118983632 6883856586 8031166017 9178475448 10418809968 10708221356 13767713172 16062332034 18356950896 21416442712 24093498051 27535426344 32124664068 42832885424 48186996102 55070852688 64249328136 96373992204 128498656272 192747984408 385495968816