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2625515152 = 2413196110891
BaseRepresentation
bin1001110001111110…
…0010111010010000
320202222100222200221
42130133202322100
520334112441102
61112305522424
7122030340061
oct23437427220
96688328627
102625515152
111128042437
12613343414
1332ac37780
141ac9a4568
15105770637
hex9c7e2e90

2625515152 has 80 divisors (see below), whose sum is σ = 5861638720. Its totient is φ = 1129075200.

The previous prime is 2625515149. The next prime is 2625515183. The reversal of 2625515152 is 2515155262.

2625515152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 235627 + ... + 246517.

It is an arithmetic number, because the mean of its divisors is an integer number (73270484).

Almost surely, 22625515152 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 2625515152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930819360).

2625515152 is an abundant number, since it is smaller than the sum of its proper divisors (3236123568).

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

2625515152 is a wasteful number, since it uses less digits than its factorization.

2625515152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10992 (or 10986 counting only the distinct ones).

The product of its digits is 30000, while the sum is 34.

The square root of 2625515152 is about 51239.7809519127. The cubic root of 2625515152 is about 1379.5523213552.

The spelling of 2625515152 in words is "two billion, six hundred twenty-five million, five hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 61 76 104 122 152 208 244 247 304 488 494 793 976 988 1159 1586 1976 2318 3172 3952 4636 6344 9272 10891 12688 15067 18544 21782 30134 43564 60268 87128 120536 141583 174256 206929 241072 283166 413858 566332 664351 827716 1132664 1328702 1655432 2265328 2657404 2690077 3310864 5314808 5380154 8636563 10629616 10760308 12622669 17273126 21520616 25245338 34546252 43041232 50490676 69092504 100981352 138185008 164094697 201962704 328189394 656378788 1312757576 2625515152