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131711452376 = 23721943411259
BaseRepresentation
bin111101010101010011…
…1010100010011011000
3110120222012100000220212
41322222213110103120
54124221112434001
6140301333310252
712341634605300
oct1725247242330
9416865300825
10131711452376
1150949754689
1221639a95388
13c560630a4a
1465368d2600
15365d22a7bb
hex1eaa9d44d8

131711452376 has 96 divisors (see below), whose sum is σ = 309432024000. Its totient is φ = 52233056064.

The previous prime is 131711452373. The next prime is 131711452387. The reversal of 131711452376 is 673254117131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131711452373) 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 23 ways as a sum of consecutive naturals, for example, 114635 + ... + 525893.

It is an arithmetic number, because the mean of its divisors is an integer number (3223250250).

Almost surely, 2131711452376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131711452376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154716012000).

131711452376 is an abundant number, since it is smaller than the sum of its proper divisors (177720571624).

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

131711452376 is a wasteful number, since it uses less digits than its factorization.

131711452376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411341 (or 411330 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The spelling of 131711452376 in words is "one hundred thirty-one billion, seven hundred eleven million, four hundred fifty-two thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 19 28 38 43 49 56 76 86 98 133 152 172 196 266 301 344 392 532 602 817 931 1064 1204 1634 1862 2107 2408 3268 3724 4214 5719 6536 7448 8428 11438 16856 22876 40033 45752 80066 160132 320264 411259 822518 1645036 2878813 3290072 5757626 7813921 11515252 15627842 17684137 20151691 23030504 31255684 35368274 40303382 54697447 62511368 70736548 80606764 109394894 123788959 141473096 161213528 218789788 247577918 335998603 382882129 437579576 495155836 671997206 765764258 866522713 990311672 1343994412 1531528516 1733045426 2351990221 2687988824 3063057032 3466090852 4703980442 6932181704 9407960884 16463931547 18815921768 32927863094 65855726188 131711452376