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2516275104 = 25378394463
BaseRepresentation
bin1001010111111011…
…0100111110100000
320111100211000112020
42111332310332200
520123131300404
61053404301440
7116232662010
oct22576647640
96440730466
102516275104
11108140a802
125a2841880
1331140a2a5
1419c289c40
15ead92ed9
hex95fb4fa0

2516275104 has 96 divisors (see below), whose sum is σ = 7559516160. Its totient is φ = 717917952.

The previous prime is 2516275087. The next prime is 2516275109. The reversal of 2516275104 is 4015726152.

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

It is not an unprimeable number, because it can be changed into a prime (2516275109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561577 + ... + 566039.

It is an arithmetic number, because the mean of its divisors is an integer number (78744960).

Almost surely, 22516275104 is an apocalyptic number.

2516275104 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 2516275104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779758080).

2516275104 is an abundant number, since it is smaller than the sum of its proper divisors (5043241056).

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

2516275104 is a wasteful number, since it uses less digits than its factorization.

2516275104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2516275104 is about 50162.4870196843. The cubic root of 2516275104 is about 1360.1476022038.

The spelling of 2516275104 in words is "two billion, five hundred sixteen million, two hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 839 1678 2517 3356 4463 5034 5873 6712 8926 10068 11746 13389 13424 17619 17852 20136 23492 26778 26848 31241 35238 35704 40272 46984 53556 62482 70476 71408 80544 93723 93968 107112 124964 140952 142816 187446 187936 214224 249928 281904 374892 428448 499856 563808 749784 999712 1499568 2999136 3744457 7488914 11233371 14977828 22466742 26211199 29955656 44933484 52422398 59911312 78633597 89866968 104844796 119822624 157267194 179733936 209689592 314534388 359467872 419379184 629068776 838758368 1258137552 2516275104