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131517007746 = 23831618316319
BaseRepresentation
bin111101001111100000…
…1100100011110000010
3110120110122110020000220
41322133001210132002
54123321323221441
6140230145523510
712334054056315
oct1723701443602
9416418406026
10131517007746
1150859a16543
12215a4943596
13c52c270257
146518b5897c
15364b11c466
hex1e9f064782

131517007746 has 32 divisors (see below), whose sum is σ = 266235863040. Its totient is φ = 43305491664.

The previous prime is 131517007723. The next prime is 131517007771. The reversal of 131517007746 is 647700715131.

It is a happy number.

It is a super-2 number, since 2×1315170077462 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131517007698 and 131517007707.

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, 8050975 + ... + 8067293.

It is an arithmetic number, because the mean of its divisors is an integer number (8319870720).

Almost surely, 2131517007746 is an apocalyptic number.

131517007746 is an abundant number, since it is smaller than the sum of its proper divisors (134718855294).

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

131517007746 is a wasteful number, since it uses less digits than its factorization.

131517007746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32590.

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 131517007746 in words is "one hundred thirty-one billion, five hundred seventeen million, seven thousand, seven hundred forty-six".

Divisors: 1 2 3 6 83 166 249 498 16183 16319 32366 32638 48549 48957 97098 97914 1343189 1354477 2686378 2708954 4029567 4063431 8059134 8126862 264090377 528180754 792271131 1584542262 21919501291 43839002582 65758503873 131517007746