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32046145152 = 273729411101
BaseRepresentation
bin11101110110000110…
…010101111010000000
310001201100110211211220
4131312012111322000
51011112303121102
622415524035040
72213063511420
oct356606257200
9101640424756
1032046145152
111265523918a
126264232a80
133039278088
1417a00b6480
15c785a41bc
hex776195e80

32046145152 has 128 divisors (see below), whose sum is σ = 100637769600. Its totient is φ = 8840294400.

The previous prime is 32046145141. The next prime is 32046145211. The reversal of 32046145152 is 25154164023.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 127599 + ... + 283502.

It is an arithmetic number, because the mean of its divisors is an integer number (786232575).

Almost surely, 232046145152 is an apocalyptic number.

32046145152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32046145152 is an abundant number, since it is smaller than the sum of its proper divisors (68591624448).

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

32046145152 is a wasteful number, since it uses less digits than its factorization.

32046145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411154 (or 411142 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 32046145152 in words is "thirty-two billion, forty-six million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 696 812 896 928 1218 1344 1392 1624 1856 2436 2688 2784 3248 3712 4872 5568 6496 9744 11136 12992 19488 25984 38976 77952 411101 822202 1233303 1644404 2466606 2877707 3288808 4933212 5755414 6577616 8633121 9866424 11510828 11921929 13155232 17266242 19732848 23021656 23843858 26310464 34532484 35765787 39465696 46043312 47687716 52620928 69064968 71531574 78931392 83453503 92086624 95375432 138129936 143063148 157862784 166907006 184173248 190750864 250360509 276259872 286126296 333814012 368346496 381501728 500721018 552519744 572252592 667628024 763003456 1001442036 1105039488 1144505184 1335256048 1526006912 2002884072 2289010368 2670512096 4005768144 4578020736 5341024192 8011536288 10682048384 16023072576 32046145152