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132151131046564 = 22716934082968279
BaseRepresentation
bin11110000011000011010101…
…001110010000001010100100
3122022220112011112120202210221
4132003003111032100022210
5114310131004021442224
61145021220321454124
736556414136001610
oct3603032516201244
9568815145522727
10132151131046564
113911aa86337193
12129a39364a1344
135897a4b7c9b16
14248c212700340
15104284a5c06e4
hex7830d53902a4

132151131046564 has 48 divisors (see below), whose sum is σ = 264468727353600. Its totient is φ = 56600530551936.

The previous prime is 132151131046547. The next prime is 132151131046567. The reversal of 132151131046564 is 465640131151231.

It is a super-2 number, since 2×1321511310465642 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132151131046564.

It is not an unprimeable number, because it can be changed into a prime (132151131046567) 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 15 ways as a sum of consecutive naturals, for example, 1935423777 + ... + 1935492055.

It is an arithmetic number, because the mean of its divisors is an integer number (5509765153200).

Almost surely, 2132151131046564 is an apocalyptic number.

132151131046564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132151131046564 is an abundant number, since it is smaller than the sum of its proper divisors (132317596307036).

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

132151131046564 is a wasteful number, since it uses less digits than its factorization.

132151131046564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110812 (or 110810 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

Adding to 132151131046564 its reverse (465640131151231), we get a palindrome (597791262197795).

The spelling of 132151131046564 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred thirty-one million, forty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 1693 3386 6772 11851 23702 40829 47404 68279 81658 136558 163316 273116 285803 477953 571606 955906 1143212 1911812 69123497 115596347 138246994 231192694 276493988 462385388 483864479 809174429 967728958 1618348858 1935457916 2787763291 3236697716 5575526582 11151053164 19514343037 39028686074 78057372148 4719683251663 9439366503326 18878733006652 33037782761641 66075565523282 132151131046564