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2500125760 = 265112330881
BaseRepresentation
bin1001010100000100…
…1110010001000000
320110020102112210101
42111001032101000
520110013011020
61052030212144
7115645501246
oct22501162100
96406375711
102500125760
11107328a540
12599354054
1330ac74772
1419a084796
15e975300a
hex9504e440

2500125760 has 112 divisors (see below), whose sum is σ = 6777240192. Its totient is φ = 869580800.

The previous prime is 2500125731. The next prime is 2500125799. The reversal of 2500125760 is 675210052.

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, 65520 + ... + 96400.

Almost surely, 22500125760 is an apocalyptic number.

2500125760 is a gapful number since it is divisible by the number (20) 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 2500125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388620096).

2500125760 is an abundant number, since it is smaller than the sum of its proper divisors (4277114432).

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

2500125760 is a wasteful number, since it uses less digits than its factorization.

2500125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30932 (or 30922 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2500125760 is about 50001.2575841848. The cubic root of 2500125760 is about 1357.2315655932.

The spelling of 2500125760 in words is "two billion, five hundred million, one hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 704 736 880 920 1012 1265 1472 1760 1840 2024 2530 3520 3680 4048 5060 7360 8096 10120 16192 20240 30881 40480 61762 80960 123524 154405 247048 308810 339691 494096 617620 679382 710263 988192 1235240 1358764 1420526 1698455 1976384 2470480 2717528 2841052 3396910 3551315 4940960 5435056 5682104 6793820 7102630 7812893 9881920 10870112 11364208 13587640 14205260 15625786 21740224 22728416 27175280 28410520 31251572 39064465 45456832 54350560 56821040 62503144 78128930 108701120 113642080 125006288 156257860 227284160 250012576 312515720 500025152 625031440 1250062880 2500125760