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106052514552 = 23321472951591
BaseRepresentation
bin110001011000100111…
…0001111001011111000
3101010201222111221100100
41202301032033023320
53214143420431202
6120415253235400
710443036333345
oct1426116171370
9333658457310
10106052514552
1140a81974946
1218678932b60
13a0017342ba
1451c0c1d7cc
152b5a79741c
hex18b138f2f8

106052514552 has 24 divisors (see below), whose sum is σ = 287225560440. Its totient is φ = 35350838160.

The previous prime is 106052514509. The next prime is 106052514583. The reversal of 106052514552 is 255415250601.

106052514552 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 52 + 51 + 4 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1060525145522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 736475724 + ... + 736475867.

It is an arithmetic number, because the mean of its divisors is an integer number (11967731685).

Almost surely, 2106052514552 is an apocalyptic number.

106052514552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106052514552 is an abundant number, since it is smaller than the sum of its proper divisors (181173045888).

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

106052514552 is a wasteful number, since it uses less digits than its factorization.

106052514552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472951603 (or 1472951596 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 106052514552 in words is "one hundred six billion, fifty-two million, five hundred fourteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1472951591 2945903182 4418854773 5891806364 8837709546 11783612728 13256564319 17675419092 26513128638 35350838184 53026257276 106052514552