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2575703616 = 263101317419
BaseRepresentation
bin1001100110000110…
…0001111001000000
320122111122022010020
42121201201321000
520233340003431
61103330133440
7120554055663
oct23141417100
96574568106
102575703616
111101a10282
125ba721280
133208170a5
141a61196da
151011d1696
hex99861e40

2575703616 has 112 divisors (see below), whose sum is σ = 6920544960. Its totient is φ = 845363200.

The previous prime is 2575703591. The next prime is 2575703617. The reversal of 2575703616 is 6163075752.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2575703617) 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, 6147055 + ... + 6147473.

It is an arithmetic number, because the mean of its divisors is an integer number (61790580).

Almost surely, 22575703616 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 2575703616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460272480).

2575703616 is an abundant number, since it is smaller than the sum of its proper divisors (4344841344).

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

2575703616 is a wasteful number, since it uses less digits than its factorization.

2575703616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 2575703616 is about 50751.3902863754. The cubic root of 2575703616 is about 1370.7722245228.

The spelling of 2575703616 in words is "two billion, five hundred seventy-five million, seven hundred three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 317 404 419 606 634 808 838 951 1212 1257 1268 1616 1676 1902 2424 2514 2536 3232 3352 3804 4848 5028 5072 6464 6704 7608 9696 10056 10144 13408 15216 19392 20112 20288 26816 30432 32017 40224 42319 60864 64034 80448 84638 96051 126957 128068 132823 169276 192102 253914 256136 265646 338552 384204 398469 507828 512272 531292 677104 768408 796938 1015656 1024544 1062584 1354208 1536816 1593876 2031312 2049088 2125168 2708416 3073632 3187752 4062624 4250336 6147264 6375504 8125248 8500672 12751008 13415123 25502016 26830246 40245369 53660492 80490738 107320984 160981476 214641968 321962952 429283936 643925904 858567872 1287851808 2575703616