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55312835968 = 271335992593
BaseRepresentation
bin110011100000111001…
…101110010110000000
312021202211212012110101
4303200321232112000
51401240041222333
641224350012144
73665463230305
oct634071562600
9167684765411
1055312835968
1121504721385
12a8781a7054
1352a6671a50
14296a1870ac
15168aee367d
hexce0e6e580

55312835968 has 64 divisors (see below), whose sum is σ = 119001808800. Its totient is φ = 25457614848.

The previous prime is 55312835951. The next prime is 55312835969. The reversal of 55312835968 is 86953821355.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55312835969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551080 + ... + 643672.

Almost surely, 255312835968 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 55312835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59500904400).

55312835968 is an abundant number, since it is smaller than the sum of its proper divisors (63688972832).

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

55312835968 is a wasteful number, since it uses less digits than its factorization.

55312835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92979 (or 92967 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 55.

The spelling of 55312835968 in words is "fifty-five billion, three hundred twelve million, eight hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 359 416 718 832 1436 1664 2872 4667 5744 9334 11488 18668 22976 37336 45952 74672 92593 149344 185186 298688 370372 597376 740744 1203709 1481488 2407418 2962976 4814836 5925952 9629672 11851904 19259344 33240887 38518688 66481774 77037376 132963548 154074752 265927096 432131531 531854192 864263062 1063708384 1728526124 2127416768 3457052248 4254833536 6914104496 13828208992 27656417984 55312835968