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2551698016 = 257232232221
BaseRepresentation
bin1001100000010111…
…1101001001100000
320120211110200121221
42120011331021200
520211213314031
61101111424424
7120143034550
oct23005751140
96524420557
102551698016
11109a40453a
125b2685114
133188606aa
141a2c6b160
15ee03da11
hex9817d260

2551698016 has 96 divisors (see below), whose sum is σ = 6020517888. Its totient is φ = 1040878080.

The previous prime is 2551698013. The next prime is 2551698029. The reversal of 2551698016 is 6108961552.

It is a super-2 number, since 2×25516980162 = 13022325529716672512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551698013) by changing a digit.

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, 1147786 + ... + 1150006.

It is an arithmetic number, because the mean of its divisors is an integer number (62713728).

Almost surely, 22551698016 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 2551698016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010258944).

2551698016 is an abundant number, since it is smaller than the sum of its proper divisors (3468819872).

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

2551698016 is a wasteful number, since it uses less digits than its factorization.

2551698016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The square root of 2551698016 is about 50514.3347575715. The cubic root of 2551698016 is about 1366.5003858242.

The spelling of 2551698016 in words is "two billion, five hundred fifty-one million, six hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 223 224 322 368 446 644 736 892 1288 1561 1784 2221 2576 3122 3568 4442 5129 5152 6244 7136 8884 10258 12488 15547 17768 20516 24976 31094 35536 35903 41032 49952 51083 62188 71072 71806 82064 102166 124376 143612 164128 204332 248752 287224 357581 408664 495283 497504 574448 715162 817328 990566 1148896 1430324 1634656 1981132 2860648 3466981 3962264 5721296 6933962 7924528 11391509 11442592 13867924 15849056 22783018 27735848 45566036 55471696 79740563 91132072 110943392 159481126 182264144 318962252 364528288 637924504 1275849008 2551698016