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25551000460 = 22537611274457
BaseRepresentation
bin10111110010111101…
…010101001110001100
32102221200201022100101
4113302331111032030
5404312024003320
615423222340444
71563114630466
oct276275251614
972850638311
1025551000460
11a921967907
124b50b8a724
1325427371ab
141345617136
159e8261c0a
hex5f2f5538c

25551000460 has 96 divisors (see below), whose sum is σ = 56464386048. Its totient is φ = 9701959680.

The previous prime is 25551000439. The next prime is 25551000463. The reversal of 25551000460 is 6400015552.

It is not an unprimeable number, because it can be changed into a prime (25551000463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5730552 + ... + 5735008.

It is an arithmetic number, because the mean of its divisors is an integer number (588170688).

Almost surely, 225551000460 is an apocalyptic number.

25551000460 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 25551000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28232193024).

25551000460 is an abundant number, since it is smaller than the sum of its proper divisors (30913385588).

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

25551000460 is a wasteful number, since it uses less digits than its factorization.

25551000460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 25551000460 in words is "twenty-five billion, five hundred fifty-one million, four hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 37 61 74 122 127 148 185 244 254 305 370 508 610 635 740 1220 1270 2257 2540 4457 4514 4699 7747 8914 9028 9398 11285 15494 17828 18796 22285 22570 23495 30988 38735 44570 45140 46990 77470 89140 93980 154940 164909 271877 286639 329818 543754 566039 573278 659636 824545 1087508 1132078 1146556 1359385 1433195 1649090 2264156 2718770 2830195 2866390 3298180 5437540 5660390 5732780 10059449 11320780 20118898 20943443 34528379 40237796 41886886 50297245 69056758 83773772 100594490 104717215 138113516 172641895 201188980 209434430 345283790 418868860 690567580 1277550023 2555100046 5110200092 6387750115 12775500230 25551000460