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645648156 = 2232416171101
BaseRepresentation
bin100110011110111…
…100111100011100
31122222220022202200
4212132330330130
52310241220111
6144022251500
721666630066
oct4636747434
91588808680
10645648156
113014a701a
12160286b90
13a39bc23a
1461a6a736
153ba38256
hex267bcf1c

645648156 has 144 divisors (see below), whose sum is σ = 1740263616. Its totient is φ = 201600000.

The previous prime is 645648149. The next prime is 645648161. The reversal of 645648156 is 651846546.

645648156 is a `hidden beast` number, since 6 + 4 + 564 + 81 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6392506 + ... + 6392606.

It is an arithmetic number, because the mean of its divisors is an integer number (12085164).

Almost surely, 2645648156 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 645648156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870131808).

645648156 is an abundant number, since it is smaller than the sum of its proper divisors (1094615460).

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

645648156 is a wasteful number, since it uses less digits than its factorization.

645648156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 645648156 is about 25409.6075530497. The cubic root of 645648156 is about 864.3015761794.

The spelling of 645648156 in words is "six hundred forty-five million, six hundred forty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 61 71 82 101 122 123 142 164 183 202 213 244 246 284 303 366 369 404 426 492 549 606 639 732 738 852 909 1098 1212 1278 1476 1818 2196 2501 2556 2911 3636 4141 4331 5002 5822 6161 7171 7503 8282 8662 8733 10004 11644 12322 12423 12993 14342 15006 16564 17324 17466 18483 21513 22509 24644 24846 25986 26199 28684 30012 34932 36966 37269 38979 43026 45018 49692 51972 52398 55449 64539 73932 74538 77958 86052 90036 104796 110898 129078 149076 155916 177571 221796 252601 258156 294011 355142 437431 505202 532713 588022 710284 757803 874862 882033 1010404 1065426 1176044 1312293 1515606 1598139 1749724 1764066 2130852 2273409 2624586 2646099 3031212 3196278 3528132 3936879 4546818 5249172 5292198 6392556 7873758 9093636 10584396 15747516 17934671 35869342 53804013 71738684 107608026 161412039 215216052 322824078 645648156