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687059034368 = 2877122923581
BaseRepresentation
bin10011111111101111110…
…10001110000100000000
32102200102022210020012112
421333313322032010000
542224044103044433
61243344111314452
7100431651301520
oct11776772160400
92380368706175
10687059034368
1124541aa05683
12b11a681ba28
134ca35397825
142537a745680
1512d12e17348
hex9ff7e8e100

687059034368 has 144 divisors (see below), whose sum is σ = 1596437256960. Its totient is φ = 289026662400.

The previous prime is 687059034349. The next prime is 687059034373. The reversal of 687059034368 is 863430950786.

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, 29124338 + ... + 29147918.

It is an arithmetic number, because the mean of its divisors is an integer number (11086369840).

Almost surely, 2687059034368 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 687059034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798218628480).

687059034368 is an abundant number, since it is smaller than the sum of its proper divisors (909378222592).

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

687059034368 is a wasteful number, since it uses less digits than its factorization.

687059034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23904 (or 23890 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 687059034368 in words is "six hundred eighty-seven billion, fifty-nine million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 229 256 284 448 458 497 568 896 916 994 1136 1603 1792 1832 1988 2272 3206 3664 3976 4544 6412 7328 7952 9088 12824 14656 15904 16259 18176 23581 25648 29312 31808 32518 47162 51296 58624 63616 65036 94324 102592 113813 127232 130072 165067 188648 205184 227626 260144 330134 377296 410368 455252 520288 660268 754592 910504 1040576 1320536 1509184 1674251 1821008 2081152 2641072 3018368 3348502 3642016 4162304 5282144 5400049 6036736 6697004 7284032 10564288 10800098 11719757 13394008 14568064 21128576 21600196 23439514 26788016 29136128 37800343 42257152 43200392 46879028 53576032 75600686 86400784 93758056 107152064 151201372 172801568 187516112 214304128 302402744 345603136 375032224 383403479 428608256 604805488 691206272 750064448 766806958 1209610976 1382412544 1500128896 1533613916 2419221952 2683824353 3000257792 3067227832 4838443904 5367648706 6134455664 9676887808 10735297412 12268911328 21470594824 24537822656 42941189648 49075645312 85882379296 98151290624 171764758592 343529517184 687059034368