Search a number
-
+
131544392156796 = 2231719139992424329
BaseRepresentation
bin11101111010001110010000…
…110001000100011001111100
3122020202112001212022122102210
4131322032100301010121330
5114220210403343004141
61143434354241420420
736464524444351623
oct3572162061043174
9566675055278383
10131544392156796
1138a06733021003
121290622693a710
135852776999098
14246aad546c6ba
151031b88d14916
hex77a390c4467c

131544392156796 has 96 divisors (see below), whose sum is σ = 342121449600000. Its totient is φ = 39093976332288.

The previous prime is 131544392156729. The next prime is 131544392156803. The reversal of 131544392156796 is 697651293445131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53047960 + ... + 55472288.

It is an arithmetic number, because the mean of its divisors is an integer number (3563765100000).

Almost surely, 2131544392156796 is an apocalyptic number.

It is an amenable number.

131544392156796 is an abundant number, since it is smaller than the sum of its proper divisors (210577057443204).

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

131544392156796 is a wasteful number, since it uses less digits than its factorization.

131544392156796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438371 (or 2438369 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 66.

The spelling of 131544392156796 in words is "one hundred thirty-one trillion, five hundred forty-four billion, three hundred ninety-two million, one hundred fifty-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 13999 27998 41997 55996 83994 167988 237983 265981 475966 531962 713949 797943 951932 1063924 1427898 1595886 2424329 2855796 3191772 4521677 4848658 7272987 9043354 9697316 13565031 14545974 18086708 27130062 29091948 41213593 46062251 54260124 82427186 92124502 123640779 138186753 164854372 184249004 247281558 276373506 494563116 552747012 783058267 1566116534 2349174801 3132233068 4698349602 9396699204 33938181671 67876363342 101814545013 135752726684 203629090026 407258180052 576949088407 644825451749 1153898176814 1289650903498 1730847265221 1934476355247 2307796353628 2579301806996 3461694530442 3868952710494 6923389060884 7737905420988 10962032679733 21924065359466 32886098039199 43848130718932 65772196078398 131544392156796