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531400966096 = 2471113151219731
BaseRepresentation
bin1111011101110011111…
…01110011111111010000
31212210122020200001210211
413232321331303333100
532201302121403341
61044042222533504
753251416453430
oct7567175637720
91783566601724
10531400966096
11195402aa0050
1286ba5137294
133b15983c2a0
141ba117522c0
15dc52743181
hex7bb9f73fd0

531400966096 has 160 divisors (see below), whose sum is σ = 1391546935296. Its totient is φ = 189846720000.

The previous prime is 531400966049. The next prime is 531400966127. The reversal of 531400966096 is 690669004135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2308551 + ... + 2528281.

Almost surely, 2531400966096 is an apocalyptic number.

531400966096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531400966096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695773467648).

531400966096 is an abundant number, since it is smaller than the sum of its proper divisors (860145969200).

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

531400966096 is a wasteful number, since it uses less digits than its factorization.

531400966096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219921 (or 219915 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

The spelling of 531400966096 in words is "five hundred thirty-one billion, four hundred million, nine hundred sixty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 151 154 176 182 208 286 302 308 364 572 604 616 728 1001 1057 1144 1208 1232 1456 1661 1963 2002 2114 2288 2416 3322 3926 4004 4228 6644 7852 8008 8456 11627 13288 13741 15704 16016 16912 21593 23254 26576 27482 31408 43186 46508 54964 86372 93016 109928 151151 172744 186032 219731 219856 302302 345488 439462 604604 878924 1209208 1538117 1757848 2417041 2418416 2856503 3076234 3515696 4834082 5713006 6152468 9668164 11426012 12304936 16919287 19336328 19995521 22852024 24609872 31421533 33179381 33838574 38672656 39991042 45704048 62843066 66358762 67677148 79982084 125686132 132717524 135354296 159964168 219950731 232255667 251372264 265435048 270708592 319928336 364973191 431331953 439901462 464511334 502744528 530870096 729946382 862663906 879802924 929022668 1459892764 1725327812 1759605848 1858045336 2554812337 2919785528 3019323671 3450655624 3519211696 3716090672 4744651483 5109624674 5839571056 6038647342 6901311248 9489302966 10219249348 12077294684 18978605932 20438498696 24154589368 33212560381 37957211864 40876997392 48309178736 66425120762 75914423728 132850241524 265700483048 531400966096