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131462243861706 = 2333178531806369
BaseRepresentation
bin11101111001000001110000…
…010110001100010011001010
3122020110200000210210212121000
4131321001300112030103022
5114212334133412033311
61143332530542355430
736455555645356212
oct3571016026142312
9566420023725530
10131462243861706
11389849084a003a
12128b231b58bb76
135847ab4767054
142466b41275242
15102e97be3e056
hex77907058c4ca

131462243861706 has 32 divisors (see below), whose sum is σ = 301562136460800. Its totient is φ = 42407175438720.

The previous prime is 131462243861653. The next prime is 131462243861719. The reversal of 131462243861706 is 607168342264131.

131462243861706 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 622 + 4 + 3 + 8 + 6 + 1 + 7 + 0 + 6 = 666.

It is a super-2 number, since 2×1314622438617062 (a number of 29 digits) contains 22 as substring.

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

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, 39265901511 + ... + 39265904858.

It is an arithmetic number, because the mean of its divisors is an integer number (9423816764400).

Almost surely, 2131462243861706 is an apocalyptic number.

131462243861706 is an abundant number, since it is smaller than the sum of its proper divisors (170099892599094).

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

131462243861706 is a wasteful number, since it uses less digits than its factorization.

131462243861706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78531806411 (or 78531806405 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 131462243861706 in words is "one hundred thirty-one trillion, four hundred sixty-two billion, two hundred forty-three million, eight hundred sixty-one thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 78531806369 157063612738 235595419107 471190838214 706786257321 1413572514642 2120358771963 2434485997439 4240717543926 4868971994878 7303457992317 14606915984634 21910373976951 43820747953902 65731121930853 131462243861706