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13793231477776 = 243126124912
BaseRepresentation
bin1100100010110111110010…
…1010011001110000010000
31210211121202000110201021211
43020231330222121300100
53301442014224242101
645200304552025504
72622346064043442
oct310557452316020
953747660421254
1013793231477776
114438749642573
121669279392294
1379090858794a
1435984b488492
1518dbd8635c51
hexc8b7ca99c10

13793231477776 has 135 divisors (see below), whose sum is σ = 28131680495997. Its totient is φ = 6551361936000.

The previous prime is 13793231477761. The next prime is 13793231477941. The reversal of 13793231477776 is 67777413239731.

The square root of 13793231477776 is 3713924.

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

It can be written as a sum of positive squares in only one way, i.e., 448530236176 + 13344701241600 = 669724^2 + 3653040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28092120891 + ... + 28092121381.

Almost surely, 213793231477776 is an apocalyptic number.

13793231477776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13793231477776 is the 3713924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13793231477776

13793231477776 is an abundant number, since it is smaller than the sum of its proper divisors (14338449018221).

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

13793231477776 is an frugal number, since it uses more digits than its factorization.

13793231477776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 585 counting only the distinct ones).

The product of its digits is 196036848, while the sum is 67.

The spelling of 13793231477776 in words is "thirteen trillion, seven hundred ninety-three billion, two hundred thirty-one million, four hundred seventy-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 488 491 496 961 976 982 1891 1922 1964 3721 3782 3844 3928 7442 7564 7688 7856 14884 15128 15221 15376 29768 29951 30256 30442 58621 59536 59902 60884 115351 117242 119804 121768 230702 234484 239608 241081 243536 461404 468968 471851 479216 482162 922808 928481 937936 943702 964324 1827011 1845616 1856962 1887404 1928648 3575881 3654022 3713924 3774808 3857296 7151762 7308044 7427848 7473511 7549616 14303524 14616088 14705941 14855696 14947022 28607048 28782911 29232176 29411882 29894044 56637341 57214096 57565822 58823764 59788088 113274682 115131644 117647528 119576176 226549364 230263288 231678841 235295056 453098728 455884171 460526576 463357682 897062401 906197456 911768342 926715364 1755757571 1794124802 1823536684 1853430728 3511515142 3588249604 3647073368 3706861456 7023030284 7176499208 7294146736 14046060568 14132409301 14352998416 27808934431 28092121136 28264818602 55617868862 56529637204 111235737724 113059274408 222471475448 226118548816 444942950896 862076967361 1724153934722 3448307869444 6896615738888 13793231477776