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132613141696 = 2671731711049
BaseRepresentation
bin111101110000001011…
…0111111010011000000
3110200022001000121010121
41323200112333103000
54133042431013241
6140531023510024
712403164051160
oct1734026772300
9420261017117
10132613141696
1151271730172
122184ba58314
13c675399319
1465c056c5a0
1536b248cad1
hex1ee05bf4c0

132613141696 has 56 divisors (see below), whose sum is σ = 302486263200. Its totient is φ = 56505649152.

The previous prime is 132613141679. The next prime is 132613141699. The reversal of 132613141696 is 696141316231.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (132613141699) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 778021 + ... + 933028.

Almost surely, 2132613141696 is an apocalyptic number.

132613141696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132613141696 is an abundant number, since it is smaller than the sum of its proper divisors (169873121504).

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

132613141696 is a wasteful number, since it uses less digits than its factorization.

132613141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711241 (or 1711231 counting only the distinct ones).

The product of its digits is 139968, while the sum is 43.

The spelling of 132613141696 in words is "one hundred thirty-two billion, six hundred thirteen million, one hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 173 224 346 448 692 1211 1384 2422 2768 4844 5536 9688 11072 19376 38752 77504 1711049 3422098 6844196 11977343 13688392 23954686 27376784 47909372 54753568 95818744 109507136 191637488 296011477 383274976 592022954 766549952 1184045908 2072080339 2368091816 4144160678 4736183632 8288321356 9472367264 16576642712 18944734528 33153285424 66306570848 132613141696