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72165515517066 = 231953113105698921
BaseRepresentation
bin10000011010001001010111…
…111010101101110010001010
3100110111221210212010001210110
4100122021113322231302022
533424324433433021231
6413252214040255150
721125533514564016
oct2032112772556212
9313457725101713
1072165515517066
1120aa3250181734
1281161b11714b6
1331362430c244a
1413b6b88561546
158522cd798046
hex41a257eadc8a

72165515517066 has 64 divisors (see below), whose sum is σ = 156163815319680. Its totient is φ = 22161258362880.

The previous prime is 72165515517001. The next prime is 72165515517083. The reversal of 72165515517066 is 66071551556127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 72165515516997 and 72165515517015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52166715 + ... + 53532206.

It is an arithmetic number, because the mean of its divisors is an integer number (2440059614370).

Almost surely, 272165515517066 is an apocalyptic number.

72165515517066 is an abundant number, since it is smaller than the sum of its proper divisors (83998299802614).

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

72165515517066 is a wasteful number, since it uses less digits than its factorization.

72165515517066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105699111.

The product of its (nonzero) digits is 13230000, while the sum is 57.

The spelling of 72165515517066 in words is "seventy-two trillion, one hundred sixty-five billion, five hundred fifteen million, five hundred seventeen thousand, sixty-six".

Divisors: 1 2 3 6 19 38 53 57 106 113 114 159 226 318 339 678 1007 2014 2147 3021 4294 5989 6042 6441 11978 12882 17967 35934 113791 227582 341373 682746 105698921 211397842 317096763 634193526 2008279499 4016558998 5602042813 6024838497 11204085626 11943978073 12049676994 16806128439 23887956146 33612256878 35831934219 71663868438 106438813447 212877626894 226935583387 319316440341 453871166774 633030837869 638632880682 680806750161 1266061675738 1361613500322 1899092513607 3798185027214 12027585919511 24055171839022 36082757758533 72165515517066