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16000715664 = 24322918121169
BaseRepresentation
bin11101110011011011…
…11000101110010000
31112022010011120111200
432321231320232100
5230232140400124
611203422511200
71104340560543
oct167155705620
945263146450
1016000715664
116870a9455a
123126735500
13167cc76bbb
14abb0ba85a
15639ad7bc9
hex3b9b78b90

16000715664 has 120 divisors (see below), whose sum is σ = 46582044600. Its totient is φ = 5120962560.

The previous prime is 16000715609. The next prime is 16000715677. The reversal of 16000715664 is 46651700061.

It can be written as a sum of positive squares in 4 ways, for example, as 2145542400 + 13855173264 = 46320^2 + 117708^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745272 + ... + 766440.

It is an arithmetic number, because the mean of its divisors is an integer number (388183705).

Almost surely, 216000715664 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 16000715664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23291022300).

16000715664 is an abundant number, since it is smaller than the sum of its proper divisors (30581328936).

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

16000715664 is a wasteful number, since it uses less digits than its factorization.

16000715664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21393 (or 21384 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 16000715664 in words is "sixteen billion, seven hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 181 232 261 348 362 464 522 543 696 724 1044 1086 1392 1448 1629 2088 2172 2896 3258 4176 4344 5249 6516 8688 10498 13032 15747 20996 21169 26064 31494 41992 42338 47241 62988 63507 83984 84676 94482 125976 127014 169352 188964 190521 251952 254028 338704 377928 381042 508056 613901 755856 762084 1016112 1227802 1524168 1841703 2455604 3048336 3683406 3831589 4911208 5525109 7366812 7663178 9822416 11050218 11494767 14733624 15326356 22100436 22989534 29467248 30652712 34484301 44200872 45979068 61305424 68968602 88401744 91958136 111116081 137937204 183916272 222232162 275874408 333348243 444464324 551748816 666696486 888928648 1000044729 1333392972 1777857296 2000089458 2666785944 4000178916 5333571888 8000357832 16000715664