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2595640416 = 253316831277
BaseRepresentation
bin1001101010110110…
…0101010001100000
320200220011012021020
42122231211101200
520303440443131
61105321325440
7121215402525
oct23255452140
96626135236
102595640416
111112198076
12605336880
133249a7805
141a8a2914c
15102d1d996
hex9ab65460

2595640416 has 96 divisors (see below), whose sum is σ = 7049161728. Its totient is φ = 835422720.

The previous prime is 2595640403. The next prime is 2595640441. The reversal of 2595640416 is 6140465952.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2031970 + ... + 2033246.

It is an arithmetic number, because the mean of its divisors is an integer number (73428768).

Almost surely, 22595640416 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 2595640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524580864).

2595640416 is an abundant number, since it is smaller than the sum of its proper divisors (4453521312).

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

2595640416 is a wasteful number, since it uses less digits than its factorization.

2595640416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 2595640416 is about 50947.4279625576. The cubic root of 2595640416 is about 1374.2998822105.

The spelling of 2595640416 in words is "two billion, five hundred ninety-five million, six hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 683 744 992 1277 1366 1488 2049 2554 2732 2976 3831 4098 5108 5464 7662 8196 10216 10928 15324 16392 20432 21173 21856 30648 32784 39587 40864 42346 61296 63519 65568 79174 84692 118761 122592 127038 158348 169384 237522 254076 316696 338768 475044 508152 633392 677536 872191 950088 1016304 1266784 1744382 1900176 2032608 2616573 3488764 3800352 5233146 6977528 10466292 13955056 20932584 27037921 27910112 41865168 54075842 81113763 83730336 108151684 162227526 216303368 324455052 432606736 648910104 865213472 1297820208 2595640416