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645303165216 = 253312063105107
BaseRepresentation
bin10010110001111110001…
…00001110000100100000
32021200122021202022001020
421120333010032010200
541033040102241331
61212240450205440
764423133254623
oct11307704160440
92250567668036
10645303165216
112297428a5106
12a5092883880
1348b0c607048
1423338cabdba
1511bbc1e2c96
hex963f10e120

645303165216 has 96 divisors (see below), whose sum is σ = 1749427642368. Its totient is φ = 208059429120.

The previous prime is 645303165203. The next prime is 645303165217. The reversal of 645303165216 is 612561303546.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (645303165217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6086935 + ... + 6192041.

It is an arithmetic number, because the mean of its divisors is an integer number (18223204608).

Almost surely, 2645303165216 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 645303165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874713821184).

645303165216 is an abundant number, since it is smaller than the sum of its proper divisors (1104124477152).

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

645303165216 is a wasteful number, since it uses less digits than its factorization.

645303165216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107214 (or 107206 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 645303165216 in words is "six hundred forty-five billion, three hundred three million, one hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2063 2976 4126 6189 8252 12378 16504 24756 33008 49512 63953 66016 99024 105107 127906 191859 198048 210214 255812 315321 383718 420428 511624 630642 767436 840856 1023248 1261284 1534872 1681712 2046496 2522568 3069744 3258317 3363424 5045136 6139488 6516634 9774951 10090272 13033268 19549902 26066536 39099804 52133072 78199608 104266144 156399216 216835741 312798432 433671482 650507223 867342964 1301014446 1734685928 2602028892 3469371856 5204057784 6721907971 6938743712 10408115568 13443815942 20165723913 20816231136 26887631884 40331447826 53775263768 80662895652 107550527536 161325791304 215101055072 322651582608 645303165216