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55246669056 = 283319420677
BaseRepresentation
bin110011011100111101…
…010100010100000000
312021121020100120112000
4303130331110110000
51401121121402211
641214023504000
73664030636665
oct633475242400
9167536316460
1055246669056
1121480339187
12a859bb8000
135295a45b27
142961481a6c
1516852c3656
hexcdcf54500

55246669056 has 144 divisors (see below), whose sum is σ = 171973166400. Its totient is φ = 17446275072.

The previous prime is 55246669019. The next prime is 55246669063. The reversal of 55246669056 is 65096664255.

It is a happy number.

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

It is a super-2 number, since 2×552466690562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55246668993 and 55246669011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79011 + ... + 341666.

It is an arithmetic number, because the mean of its divisors is an integer number (1194258100).

Almost surely, 255246669056 is an apocalyptic number.

It is an amenable number.

55246669056 is an abundant number, since it is smaller than the sum of its proper divisors (116726497344).

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

55246669056 is a wasteful number, since it uses less digits than its factorization.

55246669056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420721 (or 420701 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 55246669056 in words is "fifty-five billion, two hundred forty-six million, six hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 32832 43776 65664 131328 420677 841354 1262031 1682708 2524062 3365416 3786093 5048124 6730832 7572186 7992863 10096248 11358279 13461664 15144372 15985726 20192496 22716558 23978589 26923328 30288744 31971452 40384992 45433116 47957178 53846656 60577488 63942904 71935767 80769984 90866232 95914356 107693312 121154976 127885808 143871534 161539968 181732464 191828712 215807301 242309952 255771616 287743068 323079936 363464928 383657424 431614602 484619904 511543232 575486136 726929856 767314848 863229204 969239808 1023086464 1150972272 1453859712 1534629696 1726458408 2046172928 2301944544 2907719424 3069259392 3452916816 4603889088 6138518784 6905833632 9207778176 13811667264 18415556352 27623334528 55246669056