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125225862560 = 2552364153087
BaseRepresentation
bin111010010100000001…
…0110000010110100000
3102222020012112221020122
41310220002300112200
54022430310100220
6133310012455412
712022133161211
oct1645002602640
9388205487218
10125225862560
1149120809aa7
1220329a7a568
13ba68a86c36
1460bd3dd408
1533cdb74425
hex1d280b05a0

125225862560 has 96 divisors (see below), whose sum is σ = 309196403712. Its totient is φ = 47836856320.

The previous prime is 125225862499. The next prime is 125225862617. The reversal of 125225862560 is 65268522521.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2332337 + ... + 2385423.

It is an arithmetic number, because the mean of its divisors is an integer number (3220795872).

Almost surely, 2125225862560 is an apocalyptic number.

125225862560 is a gapful number since it is divisible by the number (10) 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 125225862560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154598201856).

125225862560 is an abundant number, since it is smaller than the sum of its proper divisors (183970541152).

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

125225862560 is a wasteful number, since it uses less digits than its factorization.

125225862560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53766 (or 53758 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 125225862560 in words is "one hundred twenty-five billion, two hundred twenty-five million, eight hundred sixty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 641 736 920 1282 1840 2564 3205 3680 5128 6410 10256 12820 14743 20512 25640 29486 51280 53087 58972 73715 102560 106174 117944 147430 212348 235888 265435 294860 424696 471776 530870 589720 849392 1061740 1179440 1221001 1698784 2123480 2358880 2442002 4246960 4884004 6105005 8493920 9768008 12210010 19536016 24420020 34028767 39072032 48840040 68057534 97680080 136115068 170143835 195360160 272230136 340287670 544460272 680575340 782661641 1088920544 1361150680 1565323282 2722301360 3130646564 3913308205 5444602720 6261293128 7826616410 12522586256 15653232820 25045172512 31306465640 62612931280 125225862560