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16665746016 = 253372173733
BaseRepresentation
bin11111000010101101…
…10001101001100000
31121000110112121122110
433201112301221200
5233112412333031
611353420435320
71126664334543
oct174126615140
947013477573
1016665746016
117082419717
1232913a8b40
13175799129a
14b4155085a
1567819dc46
hex3e15b1a60

16665746016 has 144 divisors (see below), whose sum is σ = 45283495824. Its totient is φ = 5366532096.

The previous prime is 16665746003. The next prime is 16665746023. The reversal of 16665746016 is 61064756661.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 22735986 + ... + 22736718.

It is an arithmetic number, because the mean of its divisors is an integer number (314468721).

Almost surely, 216665746016 is an apocalyptic number.

16665746016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16665746016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22641747912).

16665746016 is an abundant number, since it is smaller than the sum of its proper divisors (28617749808).

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

16665746016 is a wasteful number, since it uses less digits than its factorization.

16665746016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 16665746016 in words is "sixteen billion, six hundred sixty-five million, seven hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 173 222 296 346 444 519 592 692 733 888 1038 1184 1369 1384 1466 1776 2076 2199 2738 2768 2932 3552 4107 4152 4398 5476 5536 5864 6401 8214 8304 8796 10952 11728 12802 16428 16608 17592 19203 21904 23456 25604 27121 32856 35184 38406 43808 51208 54242 65712 70368 76812 81363 102416 108484 126809 131424 153624 162726 204832 216968 236837 253618 307248 325452 380427 433936 473674 507236 614496 650904 710511 760854 867872 947348 1003477 1014472 1301808 1421022 1521708 1894696 2006954 2028944 2603616 2842044 3010431 3043416 3789392 4013908 4057888 4691933 5684088 6020862 6086832 7578784 8027816 9383866 11368176 12041724 12173664 14075799 16055632 18767732 22736352 24083448 28151598 32111264 37535464 48166896 56303196 75070928 96333792 112606392 150141856 173601521 225212784 347203042 450425568 520804563 694406084 1041609126 1388812168 2083218252 2777624336 4166436504 5555248672 8332873008 16665746016