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2551095888 = 2431117714003
BaseRepresentation
bin1001100000001110…
…1010001001010000
320120210100002122220
42120003222021100
520211040032023
61101050501040
7120134646225
oct23003521120
96523302586
102551095888
11109a033110
125b2434780
133186ac5c3
141a2b5194c
15ede703e3
hex980ea250

2551095888 has 160 divisors (see below), whose sum is σ = 7721505792. Its totient is φ = 717158400.

The previous prime is 2551095881. The next prime is 2551095907. The reversal of 2551095888 is 8885901552.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2551095888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551095881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635295 + ... + 639297.

Almost surely, 22551095888 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 2551095888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860752896).

2551095888 is an abundant number, since it is smaller than the sum of its proper divisors (5170409904).

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

2551095888 is a wasteful number, since it uses less digits than its factorization.

2551095888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 51.

The square root of 2551095888 is about 50508.3744343450. The cubic root of 2551095888 is about 1366.3928923215.

The spelling of 2551095888 in words is "two billion, five hundred fifty-one million, ninety-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 71 88 102 132 136 142 176 187 204 213 264 272 284 374 408 426 528 561 568 748 781 816 852 1122 1136 1207 1496 1562 1704 2244 2343 2414 2992 3124 3408 3621 4003 4488 4686 4828 6248 7242 8006 8976 9372 9656 12009 12496 13277 14484 16012 18744 19312 24018 26554 28968 32024 37488 39831 44033 48036 53108 57936 64048 68051 79662 88066 96072 106216 132099 136102 159324 176132 192144 204153 212432 264198 272204 284213 318648 352264 408306 528396 544408 568426 637296 704528 748561 816612 852639 1056792 1088816 1136852 1497122 1633224 1705278 2113584 2245683 2273704 2994244 3126343 3266448 3410556 4491366 4547408 4831621 5988488 6252686 6821112 8982732 9379029 9663242 11976976 12505372 13642224 14494863 17965464 18758058 19326484 25010744 28989726 35930928 37516116 38652968 50021488 53147831 57979452 75032232 77305936 106295662 115958904 150064464 159443493 212591324 231917808 318886986 425182648 637773972 850365296 1275547944 2551095888