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2656545144 = 2331141832957
BaseRepresentation
bin1001111001010111…
…1010100101111000
320212010202110211220
42132111322211320
520420033421034
61115334552040
7122555155401
oct23625724570
96763673756
102656545144
111143606760
12621808620
133344b0506
141b2b609a8
1510834e749
hex9e57a978

2656545144 has 128 divisors (see below), whose sum is σ = 7513793280. Its totient is φ = 775654400.

The previous prime is 2656545107. The next prime is 2656545167. The reversal of 2656545144 is 4415456562.

It is a junction number, because it is equal to n+sod(n) for n = 2656545096 and 2656545105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896914 + ... + 899870.

It is an arithmetic number, because the mean of its divisors is an integer number (58701510).

Almost surely, 22656545144 is an apocalyptic number.

2656545144 is a gapful number since it is divisible by the number (24) 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 2656545144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756896640).

2656545144 is an abundant number, since it is smaller than the sum of its proper divisors (4857248136).

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

2656545144 is a wasteful number, since it uses less digits than its factorization.

2656545144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3097 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

The square root of 2656545144 is about 51541.6835580678. The cubic root of 2656545144 is about 1384.9658563092.

The spelling of 2656545144 in words is "two billion, six hundred fifty-six million, five hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 83 88 123 132 164 166 246 249 264 328 332 451 492 498 664 902 913 984 996 1353 1804 1826 1992 2706 2739 2957 3403 3608 3652 5412 5478 5914 6806 7304 8871 10209 10824 10956 11828 13612 17742 20418 21912 23656 27224 32527 35484 37433 40836 65054 70968 74866 81672 97581 112299 121237 130108 149732 195162 224598 242474 245431 260216 299464 363711 390324 449196 484948 490862 727422 736293 780648 898392 969896 981724 1333607 1454844 1472586 1963448 2667214 2699741 2909688 2945172 4000821 5334428 5399482 5890344 8001642 8099223 10062671 10668856 10798964 16003284 16198446 20125342 21597928 30188013 32006568 32396892 40250684 60376026 64793784 80501368 110689381 120752052 221378762 241504104 332068143 442757524 664136286 885515048 1328272572 2656545144