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2551378128 = 243132367857
BaseRepresentation
bin1001100000010010…
…1111000011010000
320120210212102211020
42120010233003100
520211123100003
61101100515440
7120140233125
oct23004570320
96523772736
102551378128
11109a206172
125b254bb80
1331877ac00
141a2bc674c
15edec8d53
hex9812f0d0

2551378128 has 120 divisors (see below), whose sum is σ = 7164862848. Its totient is φ = 781986816.

The previous prime is 2551378097. The next prime is 2551378133. The reversal of 2551378128 is 8218731552.

It is a self number, because there is not a number n which added to its sum of digits gives 2551378128.

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, 2976676 + ... + 2977532.

Almost surely, 22551378128 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 2551378128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582431424).

2551378128 is an abundant number, since it is smaller than the sum of its proper divisors (4613484720).

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

2551378128 is a wasteful number, since it uses less digits than its factorization.

2551378128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1242 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 2551378128 is about 50511.1683491879. The cubic root of 2551378128 is about 1366.4432806678.

The spelling of 2551378128 in words is "two billion, five hundred fifty-one million, three hundred seventy-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 367 507 624 676 734 857 1014 1101 1352 1468 1714 2028 2202 2571 2704 2936 3428 4056 4404 4771 5142 5872 6856 8112 8808 9542 10284 11141 13712 14313 17616 19084 20568 22282 28626 33423 38168 41136 44564 57252 62023 66846 76336 89128 114504 124046 133692 144833 178256 186069 229008 248092 267384 289666 314519 372138 434499 496184 534768 579332 629038 744276 868998 943557 992368 1158664 1258076 1488552 1737996 1887114 2317328 2516152 2977104 3475992 3774228 4088747 5032304 6951984 7548456 8177494 12266241 15096912 16354988 24532482 32709976 49064964 53153711 65419952 98129928 106307422 159461133 196259856 212614844 318922266 425229688 637844532 850459376 1275689064 2551378128