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645646505652 = 223242677420241
BaseRepresentation
bin10010110010100111000…
…01111101011010110100
32021201112012210210120200
421121103201331122310
541034241001140102
61212334513200500
764434502514301
oct11312341753264
92251465723520
10645646505652
112298a9690935
12a5169860130
1348b6579ac75
142336c7240a8
1511bdc41351c
hex965387d6b4

645646505652 has 36 divisors (see below), whose sum is σ = 1632093014916. Its totient is φ = 215209946880.

The previous prime is 645646505639. The next prime is 645646505657. The reversal of 645646505652 is 256505646546.

It is a happy number.

645646505652 is a `hidden beast` number, since 6 + 45 + 6 + 46 + 505 + 6 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 342358392996 + 303288112656 = 585114^2 + 550716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645646505657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1326252 + ... + 1746492.

It is an arithmetic number, because the mean of its divisors is an integer number (45335917081).

Almost surely, 2645646505652 is an apocalyptic number.

It is an amenable number.

645646505652 is an abundant number, since it is smaller than the sum of its proper divisors (986446509264).

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

645646505652 is a wasteful number, since it uses less digits than its factorization.

645646505652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462928 (or 462923 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 645646505652 in words is "six hundred forty-five billion, six hundred forty-six million, five hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 42677 85354 128031 170708 256062 384093 420241 512124 768186 840482 1260723 1536372 1680964 2521446 3782169 5042892 7564338 15128676 17934625157 35869250314 53803875471 71738500628 107607750942 161411626413 215215501884 322823252826 645646505652