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55268751240 = 23325313490493
BaseRepresentation
bin110011011110010001…
…100011011110001000
312021122202220110120200
4303132101203132020
51401142300014430
641220133052200
73664416430353
oct633621433610
9167582813520
1055268751240
112149185091a
12a865487060
13529a4a7c01
14296438d29a
1516871d6460
hexcde463788

55268751240 has 96 divisors (see below), whose sum is σ = 180197685720. Its totient is φ = 14691216384.

The previous prime is 55268751229. The next prime is 55268751247. The reversal of 55268751240 is 4215786255.

55268751240 is a `hidden beast` number, since 5 + 52 + 6 + 87 + 512 + 4 + 0 = 666.

55268751240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16105132836 + 39163618404 = 126906^2 + 197898^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55268751247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132567 + ... + 357926.

Almost surely, 255268751240 is an apocalyptic number.

It is an amenable number.

55268751240 is an abundant number, since it is smaller than the sum of its proper divisors (124928934480).

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

55268751240 is a wasteful number, since it uses less digits than its factorization.

55268751240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490823 (or 490816 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 55268751240 in words is "fifty-five billion, two hundred sixty-eight million, seven hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 313 360 626 939 1252 1565 1878 2504 2817 3130 3756 4695 5634 6260 7512 9390 11268 12520 14085 18780 22536 28170 37560 56340 112680 490493 980986 1471479 1961972 2452465 2942958 3923944 4414437 4904930 5885916 7357395 8828874 9809860 11771832 14714790 17657748 19619720 22072185 29429580 35315496 44144370 58859160 88288740 153524309 176577480 307048618 460572927 614097236 767621545 921145854 1228194472 1381718781 1535243090 1842291708 2302864635 2763437562 3070486180 3684583416 4605729270 5526875124 6140972360 6908593905 9211458540 11053750248 13817187810 18422917080 27634375620 55268751240