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689006257056 = 253213184029449
BaseRepresentation
bin10100000011010111111…
…10010010001110100000
32102212110000211101120100
422001223332102032200
542242041100211211
61244305231142400
7100531134360555
oct12015376221640
92385400741510
10689006257056
1124622a084927
12b164a974a00
134cc859235c0
14254c31c2a2c
1512dc8d52156
hexa06bf923a0

689006257056 has 72 divisors (see below), whose sum is σ = 2110081673700. Its totient is φ = 212001924096.

The previous prime is 689006257007. The next prime is 689006257057. The reversal of 689006257056 is 650752600986.

It is a happy number.

689006257056 is a `hidden beast` number, since 6 + 8 + 9 + 0 + 0 + 62 + 570 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 687433341456 + 1572915600 = 829116^2 + 39660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 689006256993 and 689006257011.

It is not an unprimeable number, because it can be changed into a prime (689006257057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92010981 + ... + 92018468.

Almost surely, 2689006257056 is an apocalyptic number.

It is an amenable number.

689006257056 is an abundant number, since it is smaller than the sum of its proper divisors (1421075416644).

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

689006257056 is a wasteful number, since it uses less digits than its factorization.

689006257056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184029478 (or 184029467 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 689006257056 in words is "six hundred eighty-nine billion, six million, two hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 184029449 368058898 552088347 736117796 1104176694 1472235592 1656265041 2208353388 2392382837 2944471184 3312530082 4416706776 4784765674 5888942368 6625060164 7177148511 8833413552 9569531348 13250120328 14354297022 17666827104 19139062696 21531445533 26500240656 28708594044 38278125392 43062891066 53000481312 57417188088 76556250784 86125782132 114834376176 172251564264 229668752352 344503128528 689006257056