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132516130680486 = 23372475361329591
BaseRepresentation
bin11110001000010111010000…
…111001010110111010100110
3122101012102021222210022201000
4132020113100321112322212
5114332121013423233421
61145501023042414130
736624655152463200
oct3610272071267246
9571172258708630
10132516130680486
1139250859098503
1212a42620061346
1358c32a9b16977
1424a1b5a2dd770
15104c0ae3b5226
hex7885d0e56ea6

132516130680486 has 384 divisors, whose sum is σ = 362292588933120. Its totient is φ = 35760884140800.

The previous prime is 132516130680431. The next prime is 132516130680499. The reversal of 132516130680486 is 684086031615231.

It is a happy number.

132516130680486 is a `hidden beast` number, since 1 + 3 + 2 + 51 + 6 + 1 + 30 + 6 + 80 + 486 = 666.

It is a super-4 number, since 4×1325161306804864 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401897551 + ... + 402227141.

It is an arithmetic number, because the mean of its divisors is an integer number (943470283680).

Almost surely, 2132516130680486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132516130680486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181146294466560).

132516130680486 is an abundant number, since it is smaller than the sum of its proper divisors (229776458252634).

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

132516130680486 is a wasteful number, since it uses less digits than its factorization.

132516130680486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329777 (or 329764 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 132516130680486 in words is "one hundred thirty-two trillion, five hundred sixteen billion, one hundred thirty million, six hundred eighty thousand, four hundred eighty-six".