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645888006 = 23441472069
BaseRepresentation
bin100110011111110…
…111100000000110
31200000100111210000
4212133313200012
52310321404011
6144031342130
722001646261
oct4637674006
91600314700
10645888006
11301650245
12160381946
13a3a7446a
1461acdcd8
153ba84356
hex267f7806

645888006 has 80 divisors (see below), whose sum is σ = 1514842560. Its totient is φ = 205476480.

The previous prime is 645887951. The next prime is 645888011. The reversal of 645888006 is 600888546.

645888006 is a `hidden beast` number, since 64 + 588 + 8 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311140 + ... + 313208.

It is an arithmetic number, because the mean of its divisors is an integer number (18935532).

Almost surely, 2645888006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645888006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757421280).

645888006 is an abundant number, since it is smaller than the sum of its proper divisors (868954554).

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

645888006 is a wasteful number, since it uses less digits than its factorization.

645888006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 645888006 is about 25414.3267862834. The cubic root of 645888006 is about 864.4085885753.

The spelling of 645888006 in words is "six hundred forty-five million, eight hundred eighty-eight thousand, six".

Divisors: 1 2 3 6 9 18 27 41 47 54 81 82 94 123 141 162 246 282 369 423 738 846 1107 1269 1927 2069 2214 2538 3321 3807 3854 4138 5781 6207 6642 7614 11562 12414 17343 18621 34686 37242 52029 55863 84829 97243 104058 111726 156087 167589 169658 194486 254487 291729 312174 335178 508974 583458 763461 875187 1526922 1750374 2290383 2625561 3986963 4580766 5251122 6871149 7876683 7973926 11960889 13742298 15753366 23921778 35882667 71765334 107648001 215296002 322944003 645888006