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2315606496 = 25377148533
BaseRepresentation
bin1000101000000101…
…0101100111100000
312222101012222221120
42022001111213200
514220243401441
61021435252240
7111245221230
oct21201254740
95871188846
102315606496
11a89110485
125475aa080
132ab97a878
1417d771cc0
15d8455966
hex8a0559e0

2315606496 has 96 divisors (see below), whose sum is σ = 7044807168. Its totient is φ = 652270080.

The previous prime is 2315606479. The next prime is 2315606521. The reversal of 2315606496 is 6946065132.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 23446 + ... + 71978.

It is an arithmetic number, because the mean of its divisors is an integer number (73383408).

Almost surely, 22315606496 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 2315606496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522403584).

2315606496 is an abundant number, since it is smaller than the sum of its proper divisors (4729200672).

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

2315606496 is a wasteful number, since it uses less digits than its factorization.

2315606496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48624 (or 48616 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2315606496 is about 48120.7491213510. The cubic root of 2315606496 is about 1322.9849986501.

The spelling of 2315606496 in words is "two billion, three hundred fifteen million, six hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7952 11928 15904 23856 47712 48533 97066 145599 194132 291198 339731 388264 582396 679462 776528 1019193 1164792 1358924 1553056 2038386 2329584 2717848 3445843 4076772 4659168 5435696 6891686 8153544 10337529 10871392 13783372 16307088 20675058 24120901 27566744 32614176 41350116 48241802 55133488 72362703 82700232 96483604 110266976 144725406 165400464 192967208 289450812 330800928 385934416 578901624 771868832 1157803248 2315606496