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54648800856 = 233213486112011
BaseRepresentation
bin110010111001010100…
…101000011001011000
312020001120100201112100
4302321110220121120
51343410043111411
641034425243400
73643151100006
oct627124503130
9166046321470
1054648800856
11211a3906a31
12a711933560
1351cbc15670
142905cd1a76
15164ca77456
hexcb9528658

54648800856 has 96 divisors (see below), whose sum is σ = 159438399120. Its totient is φ = 16810156800.

The previous prime is 54648800827. The next prime is 54648800879. The reversal of 54648800856 is 65800884645.

54648800856 is a `hidden beast` number, since 546 + 48 + 8 + 0 + 0 + 8 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4543891 + ... + 4555901.

Almost surely, 254648800856 is an apocalyptic number.

It is an amenable number.

54648800856 is an abundant number, since it is smaller than the sum of its proper divisors (104789598264).

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

54648800856 is a wasteful number, since it uses less digits than its factorization.

54648800856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16897 (or 16890 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 54648800856 in words is "fifty-four billion, six hundred forty-eight million, eight hundred thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 4861 9722 12011 14583 19444 24022 29166 36033 38888 43749 48044 58332 63193 72066 87498 96088 108099 116664 126386 144132 156143 174996 189579 216198 252772 288264 312286 349992 379158 432396 468429 505544 568737 624572 758316 864792 936858 1137474 1249144 1405287 1516632 1873716 2274948 2810574 3747432 4549896 5621148 11242296 58385471 116770942 175156413 233541884 350312826 467083768 525469239 700625652 759011123 1050938478 1401251304 1518022246 2101876956 2277033369 3036044492 4203753912 4554066738 6072088984 6831100107 9108133476 13662200214 18216266952 27324400428 54648800856