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556161556000 = 2553413391229
BaseRepresentation
bin10000001011111011100…
…11111101111000100000
31222011112212002100201011
420011331303331320200
533103004324243000
61103255212150304
755116126140251
oct10057563757040
91864485070634
10556161556000
111a4959776796
128b955468394
13405a45a030b
141ccbddb8b28
15e7013c42ba
hex817dcfde20

556161556000 has 96 divisors (see below), whose sum is σ = 1399818354480. Its totient is φ = 217038592000.

The previous prime is 556161555967. The next prime is 556161556019. The reversal of 556161556000 is 655161655.

It can be written as a sum of positive squares in 8 ways, for example, as 2738638224 + 553422917776 = 52332^2 + 743924^2 .

It is a super-2 number, since 2×5561615560002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1531615 + ... + 1859614.

Almost surely, 2556161556000 is an apocalyptic number.

556161556000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

556161556000 is an abundant number, since it is smaller than the sum of its proper divisors (843656798480).

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

556161556000 is a wasteful number, since it uses less digits than its factorization.

556161556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391295 (or 3391277 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 556161556000 in words is "five hundred fifty-six billion, one hundred sixty-one million, five hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 8200 10250 16400 20500 32800 41000 82000 164000 3391229 6782458 13564916 16956145 27129832 33912290 54259664 67824580 84780725 108519328 135649160 139040389 169561450 271298320 278080778 339122900 423903625 542596640 556161556 678245800 695201945 847807250 1112323112 1356491600 1390403890 1695614500 2224646224 2712983200 2780807780 3391229000 3476009725 4449292448 5561615560 6782458000 6952019450 11123231120 13564916000 13904038900 17380048625 22246462240 27808077800 34760097250 55616155600 69520194500 111232311200 139040389000 278080778000 556161556000