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2516772492 = 2233133075839
BaseRepresentation
bin1001011000000010…
…1110011010001100
320111101202021211000
42112000232122030
520123243204432
61053423100300
7116240133063
oct22600563214
96441667730
102516772492
11108171a473
125a2a41690
133115527c0
1419c3791da
15eae4057c
hex9602e68c

2516772492 has 96 divisors (see below), whose sum is σ = 7050982400. Its totient is φ = 771736896.

The previous prime is 2516772491. The next prime is 2516772521. The reversal of 2516772492 is 2942776152.

It is not an unprimeable number, because it can be changed into a prime (2516772491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428109 + ... + 433947.

Almost surely, 22516772492 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 2516772492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525491200).

2516772492 is an abundant number, since it is smaller than the sum of its proper divisors (4534209908).

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

2516772492 is a wasteful number, since it uses less digits than its factorization.

2516772492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6164 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2516772492 is about 50167.4445432494. Note that the first 3 decimals coincide. The cubic root of 2516772492 is about 1360.2372156862.

The spelling of 2516772492 in words is "two billion, five hundred sixteen million, seven hundred seventy-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 307 351 468 614 702 921 1228 1404 1842 2763 3684 3991 5526 5839 7982 8289 11052 11678 11973 15964 16578 17517 23356 23946 33156 35034 35919 47892 52551 70068 71838 75907 105102 107757 143676 151814 157653 210204 215514 227721 303628 315306 431028 455442 630612 683163 910884 1366326 1792573 2049489 2732652 3585146 4098978 5377719 7170292 8197956 10755438 16133157 21510876 23303449 32266314 46606898 48399471 64532628 69910347 93213796 96798942 139820694 193597884 209731041 279641388 419462082 629193123 838924164 1258386246 2516772492