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55613988576 = 25322919513413
BaseRepresentation
bin110011110010110110…
…100001111011100000
312022112211112100011200
4303302312201323200
51402344140113301
641314304441200
74006111050246
oct636266417340
9168484470150
1055613988576
1121649712833
12a941019200
135323b84363
14299817a796
1516a767dc86
hexcf2da1ee0

55613988576 has 144 divisors (see below), whose sum is σ = 163737624960. Its totient is φ = 17884339200.

The previous prime is 55613988571. The next prime is 55613988593. The reversal of 55613988576 is 67588931655.

55613988576 is a `hidden beast` number, since 5 + 5 + 613 + 9 + 8 + 8 + 5 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55613988571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16293046 + ... + 16296458.

It is an arithmetic number, because the mean of its divisors is an integer number (1137066840).

Almost surely, 255613988576 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 55613988576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81868812480).

55613988576 is an abundant number, since it is smaller than the sum of its proper divisors (108123636384).

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

55613988576 is a wasteful number, since it uses less digits than its factorization.

55613988576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5398 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 55613988576 in words is "fifty-five billion, six hundred thirteen million, nine hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 1951 2088 2784 3413 3902 4176 5853 6826 7804 8352 10239 11706 13652 15608 17559 20478 23412 27304 30717 31216 35118 40956 46824 54608 56579 61434 62432 70236 81912 93648 98977 109216 113158 122868 140472 163824 169737 187296 197954 226316 245736 280944 296931 327648 339474 395908 452632 491472 509211 561888 593862 678948 791816 890793 905264 982944 1018422 1187724 1357896 1583632 1781586 1810528 2036844 2375448 2715792 3167264 3563172 4073688 4750896 5431584 6658763 7126344 8147376 9501792 13317526 14252688 16294752 19976289 26635052 28505376 39952578 53270104 59928867 79905156 106540208 119857734 159810312 193104127 213080416 239715468 319620624 386208254 479430936 579312381 639241248 772416508 958861872 1158624762 1544833016 1737937143 1917723744 2317249524 3089666032 3475874286 4634499048 6179332064 6951748572 9268998096 13903497144 18537996192 27806994288 55613988576