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55950027264 = 29334786113
BaseRepresentation
bin110100000110111000…
…011010101000000000
312100102020211212121000
4310012320122220000
51404041201333024
641411511132000
74020331246005
oct640670325000
9170366755530
1055950027264
112180137165a
12aa15674000
13537868c911
1429caa518ac
1516c6e0acc9
hexd06e1aa00

55950027264 has 160 divisors (see below), whose sum is σ = 169141674240. Its totient is φ = 18252988416.

The previous prime is 55950027181. The next prime is 55950027271. The reversal of 55950027264 is 46272005955.

55950027264 is a `hidden beast` number, since 559 + 50 + 0 + 27 + 26 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606672 + ... + 692784.

It is an arithmetic number, because the mean of its divisors is an integer number (1057135464).

Almost surely, 255950027264 is an apocalyptic number.

55950027264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55950027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84570837120).

55950027264 is an abundant number, since it is smaller than the sum of its proper divisors (113191646976).

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

55950027264 is an equidigital number, since it uses as much as digits as its factorization.

55950027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86187 (or 86165 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 55950027264 in words is "fifty-five billion, nine hundred fifty million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 282 288 376 384 423 432 512 564 576 752 768 846 864 1128 1152 1269 1504 1536 1692 1728 2256 2304 2538 3008 3384 3456 4512 4608 5076 6016 6768 6912 9024 10152 12032 13536 13824 18048 20304 24064 27072 36096 40608 54144 72192 81216 86113 108288 162432 172226 216576 258339 324864 344452 516678 649728 688904 775017 1033356 1377808 1550034 2066712 2325051 2755616 3100068 4047311 4133424 4650102 5511232 6200136 8094622 8266848 9300204 11022464 12141933 12400272 16189244 16533696 18600408 22044928 24283866 24800544 32378488 33067392 36425799 37200816 44089856 48567732 49601088 64756976 66134784 72851598 74401632 97135464 99202176 109277397 129513952 132269568 145703196 148803264 194270928 198404352 218554794 259027904 291406392 297606528 388541856 396808704 437109588 518055808 582812784 595213056 777083712 874219176 1036111616 1165625568 1190426112 1554167424 1748438352 2072223232 2331251136 3108334848 3496876704 4662502272 6216669696 6993753408 9325004544 13987506816 18650009088 27975013632 55950027264