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687794883556 = 221142321492
BaseRepresentation
bin10100000001000111100…
…01010000101111100100
32102202022121102020112011
422000203301100233210
542232100442233211
61243545115204004
7100456125022444
oct12004361205744
92382277366464
10687794883556
11245768310000
12b1371146604
134cb21979351
142540a372124
1512d5781b921
hexa023c50be4

687794883556 has 135 divisors (see below), whose sum is σ = 1393416211705. Its totient is φ = 297034265440.

The previous prime is 687794883553. The next prime is 687794883557. The reversal of 687794883556 is 655388497786.

The square root of 687794883556 is 829334.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80579905956 + 607214977600 = 283866^2 + 779240^2 .

It is a Duffinian number.

Its product of digits (2438553600) is a multiple of the sum of its prime factors (392).

It is not an unprimeable number, because it can be changed into a prime (687794883553) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4616072970 + ... + 4616073118.

Almost surely, 2687794883556 is an apocalyptic number.

687794883556 is the 829334-th square number.

It is an amenable number.

687794883556 is an abundant number, since it is smaller than the sum of its proper divisors (705621328149).

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

687794883556 is an equidigital number, since it uses as much as digits as its factorization.

687794883556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 185 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 76.

The spelling of 687794883556 in words is "six hundred eighty-seven billion, seven hundred ninety-four million, eight hundred eighty-three thousand, five hundred fifty-six".

Divisors: 1 2 4 11 22 23 44 46 92 121 149 242 253 298 484 506 529 596 1012 1058 1331 1639 2116 2662 2783 3278 3427 5324 5566 5819 6556 6854 11132 11638 13708 14641 18029 22201 23276 29282 30613 36058 37697 44402 58564 61226 64009 72116 75394 78821 88804 122452 128018 150788 157642 198319 244211 256036 315284 336743 396638 414667 488422 510623 673486 704099 793276 829334 867031 976844 1021246 1346972 1408198 1658668 1734062 2042492 2181509 2686321 2816396 3468124 4363018 4561337 5372642 5616853 7745089 8726036 9122674 9537341 10745284 11233706 11744329 15490178 18245348 19074682 22467412 23488658 29549531 30980356 38149364 46977316 50174707 59099062 61785383 100349414 104910751 118198124 123570766 129187619 200698828 209821502 247141532 258375238 325044841 419643004 516750476 650089682 679639213 1154018261 1300179364 1359278426 1421063809 2308036522 2718556852 2842127618 4616073044 5684255236 7476031343 14952062686 15631701899 29904125372 31263403798 62526807596 171948720889 343897441778 687794883556