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106460063514054 = 23212335234794761
BaseRepresentation
bin11000001101001100101010…
…010001001011110111000110
3111221221111000212112002211100
4120031030222101023313012
5102423220202224422204
61014231024503320530
731265325422043345
oct3015145221136706
9457844025462740
10106460063514054
1130a1550649a038
12bb3480ba50146
1347531aa77b823
141c409a1c6bb5c
15c4940d24ca39
hex60d32a44bdc6

106460063514054 has 24 divisors (see below), whose sum is σ = 230663706050232. Its totient is φ = 35486651668320.

The previous prime is 106460063514043. The next prime is 106460063514059. The reversal of 106460063514054 is 450415360064601.

106460063514054 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 6 + 0 + 0 + 635 + 1 + 4 + 0 + 5 + 4 = 666.

It is a super-2 number, since 2×1064600635140542 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106460063514059) 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, 19806034 + ... + 24600794.

It is an arithmetic number, because the mean of its divisors is an integer number (9610987752093).

Almost surely, 2106460063514054 is an apocalyptic number.

106460063514054 is an abundant number, since it is smaller than the sum of its proper divisors (124203642536178).

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

106460063514054 is a wasteful number, since it uses less digits than its factorization.

106460063514054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028292 (or 6028289 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 106460063514054 in words is "one hundred six trillion, four hundred sixty billion, sixty-three million, five hundred fourteen thousand, fifty-four".

Divisors: 1 2 3 6 9 18 1233523 2467046 3700569 4794761 7401138 9589522 11101707 14384283 22203414 28768566 43152849 86305698 5914447973003 11828895946006 17743343919009 35486687838018 53230031757027 106460063514054