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645013152 = 25337106649
BaseRepresentation
bin100110011100100…
…001111010100000
31122221201001201000
4212130201322200
52310110410102
6144000512000
721661343550
oct4634417240
91587631630
10645013152
11301102a23
1216001b600
13a38291b4
1461943160
153b96001c
hex26721ea0

645013152 has 96 divisors (see below), whose sum is σ = 2150064000. Its totient is φ = 184287744.

The previous prime is 645013111. The next prime is 645013163. The reversal of 645013152 is 251310546.

645013152 is a `hidden beast` number, since 6 + 4 + 501 + 3 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47277 + ... + 59372.

It is an arithmetic number, because the mean of its divisors is an integer number (22396500).

Almost surely, 2645013152 is an apocalyptic number.

It is an amenable number.

645013152 is an abundant number, since it is smaller than the sum of its proper divisors (1505050848).

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

645013152 is a wasteful number, since it uses less digits than its factorization.

645013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106675 (or 106661 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 645013152 is about 25397.1091268278. The cubic root of 645013152 is about 864.0181323355.

Adding to 645013152 its reverse (251310546), we get a palindrome (896323698).

The spelling of 645013152 in words is "six hundred forty-five million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 106649 213298 319947 426596 639894 746543 853192 959841 1279788 1493086 1706384 1919682 2239629 2559576 2879523 2986172 3412768 3839364 4479258 5119152 5759046 5972344 6718887 7678728 8958516 10238304 11518092 11944688 13437774 15357456 17917032 20156661 23036184 23889376 26875548 30714912 35834064 40313322 46072368 53751096 71668128 80626644 92144736 107502192 161253288 215004384 322506576 645013152