Search a number
-
+
557714157208 = 231347641178001
BaseRepresentation
bin10000001110110100101…
…10101010111010011000
31222022120001120200011121
420013122112222322120
533114144311012313
61104113233535024
755202451055345
oct10073226527230
91868501520147
10557714157208
111a5586113a8a
1290109414474
134079114b960
141cdca2917cc
15e79285e28d
hex81da5aae98

557714157208 has 64 divisors (see below), whose sum is σ = 1151915022720. Its totient is φ = 251535360000.

The previous prime is 557714157199. The next prime is 557714157331. The reversal of 557714157208 is 802751417755.

It is a super-2 number, since 2×5577141572082 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3044208 + ... + 3222208.

It is an arithmetic number, because the mean of its divisors is an integer number (17998672230).

Almost surely, 2557714157208 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 557714157208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575957511360).

557714157208 is an abundant number, since it is smaller than the sum of its proper divisors (594200865512).

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

557714157208 is a wasteful number, since it uses less digits than its factorization.

557714157208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178708 (or 178704 counting only the distinct ones).

The product of its (nonzero) digits is 2744000, while the sum is 52.

The spelling of 557714157208 in words is "five hundred fifty-seven billion, seven hundred fourteen million, one hundred fifty-seven thousand, two hundred eight".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 611 641 1222 1282 2444 2564 4888 5128 8333 16666 30127 33332 60254 66664 120508 178001 241016 356002 391651 712004 783302 1424008 1566604 2314013 3133208 4628026 8366047 9256052 16732094 18512104 33464188 66928376 108758611 114098641 217517222 228197282 435034444 456394564 870068888 912789128 1483282333 2966564666 5362636127 5933129332 10725272254 11866258664 21450544508 42901089016 69714269651 139428539302 278857078604 557714157208