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10031459893504 = 2872282792
BaseRepresentation
bin1001000111111010000110…
…0110101000000100000000
31022111222221200120102121021
42101332201212220010000
52303323412213043004
633200220011435224
72053514633130400
oct221764146500400
938458850512537
1010031459893504
113218355654705
1211601b7755b14
13579c68b0c71a
1426974d3da800
15125e1bce2d54
hex91fa19a8100

10031459893504 has 81 divisors (see below), whose sum is σ = 23293739234367. Its totient is φ = 4299045069312.

The previous prime is 10031459893439. The next prime is 10031459893523. The reversal of 10031459893504 is 40539895413001.

The square root of 10031459893504 is 3167248.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 354717637 + ... + 354745915.

Almost surely, 210031459893504 is an apocalyptic number.

10031459893504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10031459893504 is the 3167248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031459893504

10031459893504 is an abundant number, since it is smaller than the sum of its proper divisors (13262279340863).

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

10031459893504 is an frugal number, since it uses more digits than its factorization.

10031459893504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56588 (or 28288 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 10031459893504 in words is "ten trillion, thirty-one billion, four hundred fifty-nine million, eight hundred ninety-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 28279 56558 113116 197953 226232 395906 452464 791812 904928 1385671 1583624 1809856 2771342 3167248 3619712 5542684 6334496 7239424 11085368 12668992 22170736 25337984 44341472 50675968 88682944 177365888 354731776 799701841 1599403682 3198807364 5597912887 6397614728 11195825774 12795229456 22391651548 25590458912 39185390209 44783303096 51180917824 78370780418 89566606192 102361835648 156741560836 179133212384 204723671296 313483121672 358266424768 626966243344 716532849536 1253932486688 1433065699072 2507864973376 5015729946752 10031459893504