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145164256660 = 225231546120411
BaseRepresentation
bin1000011100110001110…
…1101100010110010100
3111212200202011022002101
42013030131230112110
54334244022203120
6150404301451444
713326206552113
oct2071435542624
9455622138071
10145164256660
1156622490655
1224173270b84
13108c5771977
147051449c7a
153b992c190a
hex21cc76c594

145164256660 has 48 divisors (see below), whose sum is σ = 318135226752. Its totient is φ = 55534793600.

The previous prime is 145164256621. The next prime is 145164256687. The reversal of 145164256660 is 66652461541.

145164256660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1451642566602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 145164256660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7101855 + ... + 7122265.

It is an arithmetic number, because the mean of its divisors is an integer number (6627817224).

Almost surely, 2145164256660 is an apocalyptic number.

145164256660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145164256660 is an abundant number, since it is smaller than the sum of its proper divisors (172970970092).

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

145164256660 is a wasteful number, since it uses less digits than its factorization.

145164256660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35904 (or 35902 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 145164256660 in words is "one hundred forty-five billion, one hundred sixty-four million, two hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 15461 20411 30922 40822 61844 77305 81644 102055 154610 204110 309220 355603 408220 469453 711206 938906 1422412 1778015 1877812 2347265 3556030 4694530 7112060 9389060 315574471 631148942 1262297884 1577872355 3155744710 6311489420 7258212833 14516425666 29032851332 36291064165 72582128330 145164256660