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91364439144256 = 268357794731477
BaseRepresentation
bin10100110001100001110000…
…111100001011011101000000
3102222111100120212001102112221
4110301201300330023131000
543433403332410104011
6522152124403500424
725146601655034505
oct2461416074133500
9388440525042487
1091364439144256
1127125494038173
12a2b7059987714
133bc982542c215
14187c0c35094ac
15a868eaac1971
hex531870f0b740

91364439144256 has 112 divisors (see below), whose sum is σ = 184003597382976. Its totient is φ = 45004608405504.

The previous prime is 91364439144233. The next prime is 91364439144271. The reversal of 91364439144256 is 65244193446319.

It is a junction number, because it is equal to n+sod(n) for n = 91364439144194 and 91364439144203.

It is a congruent number.

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, 2902561990 + ... + 2902593466.

It is an arithmetic number, because the mean of its divisors is an integer number (1642889262348).

Almost surely, 291364439144256 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 91364439144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92001798691488).

91364439144256 is an abundant number, since it is smaller than the sum of its proper divisors (92639158238720).

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

91364439144256 is a wasteful number, since it uses less digits than its factorization.

91364439144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33096 (or 33086 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 61.

The spelling of 91364439144256 in words is "ninety-one trillion, three hundred sixty-four billion, four hundred thirty-nine million, one hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 83 166 332 577 664 947 1154 1328 1894 2308 2656 3788 4616 5312 7576 9232 15152 18464 30304 31477 36928 47891 60608 62954 78601 95782 125908 157202 191564 251816 314404 383128 503632 546419 628808 766256 1007264 1092838 1257616 1532512 2014528 2185676 2515232 2612591 3065024 4371352 5030464 5225182 8742704 10450364 17485408 18162229 20900728 29808719 34970816 36324458 41801456 45352777 59617438 72648916 83602912 90705554 119234876 145297832 167205824 181411108 238469752 290595664 362822216 476939504 581191328 725644432 953879008 1162382656 1451288864 1507465007 1907758016 2474123677 2902577728 3014930014 4948247354 6029860028 9896494708 12059720056 17199630863 19792989416 24119440112 34399261726 39585978832 48238880224 68798523452 79171957664 96477760448 137597046904 158343915328 275194093808 550388187616 1100776375232 1427569361629 2855138723258 5710277446516 11420554893032 22841109786064 45682219572128 91364439144256