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46020655602064 = 24111320113922903
BaseRepresentation
bin10100111011011000001001…
…10101000101100110010000
320000221112100121121212102101
422131230010311011212100
522013000300313231224
6241513333004330144
712456611514220123
oct1235540465054620
9200845317555371
1046020655602064
1113733283371030
1251b3140543954
131c8a963097cb0
14b515a968c3ba
1554c182273044
hex29db04d45990

46020655602064 has 40 divisors (see below), whose sum is σ = 104753310484032. Its totient is φ = 19309365985920.

The previous prime is 46020655602029. The next prime is 46020655602139.

46020655602064 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10056959164 + ... + 10056963739.

Almost surely, 246020655602064 is an apocalyptic number.

46020655602064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46020655602064 is an abundant number, since it is smaller than the sum of its proper divisors (58732654881968).

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

46020655602064 is a wasteful number, since it uses less digits than its factorization.

46020655602064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20113922935 (or 20113922929 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 46020655602064 in words is "forty-six trillion, twenty billion, six hundred fifty-five million, six hundred two thousand, sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 20113922903 40227845806 80455691612 160911383224 221253151933 261480997739 321822766448 442506303866 522961995478 885012607732 1045923990956 1770025215464 2091847981912 2876290975129 3540050430928 4183695963824 5752581950258 11505163900516 23010327801032 46020655602064