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645634629432 = 2332134322770667
BaseRepresentation
bin10010110010100101101…
…00101001111100111000
32021201111101110102110200
421121102310221330320
541034224431120212
61212333410442200
764434266541612
oct11312264517470
92251441412420
10645634629432
112298a2a0a081
12a5165893360
1348b631a0410
142336ad11db2
1511bdb3696dc
hex9652d29f38

645634629432 has 192 divisors, whose sum is σ = 1935409956480. Its totient is φ = 193179361536.

The previous prime is 645634629427. The next prime is 645634629469. The reversal of 645634629432 is 234926436546.

645634629432 is a `hidden beast` number, since 6 + 4 + 5 + 6 + 3 + 4 + 629 + 4 + 3 + 2 = 666.

645634629432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9100963 + ... + 9171629.

It is an arithmetic number, because the mean of its divisors is an integer number (10080260190).

Almost surely, 2645634629432 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 645634629432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967704978240).

645634629432 is an abundant number, since it is smaller than the sum of its proper divisors (1289775327048).

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

645634629432 is a wasteful number, since it uses less digits than its factorization.

645634629432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70962 (or 70955 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 645634629432 in words is "six hundred forty-five billion, six hundred thirty-four million, six hundred twenty-nine thousand, four hundred thirty-two".