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55356611464 = 23711317140829
BaseRepresentation
bin110011100011100000…
…101101101110001000
312021212220020020011001
4303203200231232020
51401332243031324
641232552144344
73666534301540
oct634340555610
9167786206131
1055356611464
1121527400580
12a88a9980b4
1352b275abcb
142971d00320
15168ec8de44
hexce382db88

55356611464 has 128 divisors (see below), whose sum is σ = 135464140800. Its totient is φ = 20577312000.

The previous prime is 55356611461. The next prime is 55356611477. The reversal of 55356611464 is 46411665355.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (55356611461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335402 + ... + 1376230.

It is an arithmetic number, because the mean of its divisors is an integer number (1058313600).

Almost surely, 255356611464 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 55356611464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67732070400).

55356611464 is an abundant number, since it is smaller than the sum of its proper divisors (80107529336).

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

55356611464 is a wasteful number, since it uses less digits than its factorization.

55356611464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40955 (or 40951 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 46.

The spelling of 55356611464 in words is "fifty-five billion, three hundred fifty-six million, six hundred eleven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 71 77 88 124 142 154 217 248 284 308 341 434 497 568 616 682 781 868 994 1364 1562 1736 1988 2201 2387 2728 3124 3976 4402 4774 5467 6248 8804 9548 10934 15407 17608 19096 21868 24211 30814 40829 43736 48422 61628 81658 96844 123256 163316 169477 193688 285803 326632 338954 449119 571606 677908 898238 1143212 1265699 1355816 1796476 2286424 2531398 2898859 3143833 3592952 5062796 5797718 6287666 8859893 10125592 11595436 12575332 13922689 17719786 20292013 23190872 25150664 27845378 31887449 35439572 40584026 55690756 63774898 70879144 81168052 89864629 97458823 111381512 127549796 162336104 179729258 194917646 223212143 255099592 359458516 389835292 446424286 629052403 718917032 779670584 892848572 988510919 1258104806 1785697144 1977021838 2516209612 3954043676 5032419224 6919576433 7908087352 13839152866 27678305732 55356611464