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688098996 = 2233132571907
BaseRepresentation
bin101001000000111…
…000111010110100
31202221210001101000
4221000320322310
52402123131441
6152140203300
723023513344
oct5100707264
91687701330
10688098996
11323460a62
12172539530
13ac733490
146755ad24
15406212b6
hex29038eb4

688098996 has 96 divisors (see below), whose sum is σ = 1929674880. Its totient is φ = 210788352.

The previous prime is 688098991. The next prime is 688099001. The reversal of 688098996 is 699890886.

It is an interprime number because it is at equal distance from previous prime (688098991) and next prime (688099001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688098991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359875 + ... + 361781.

It is an arithmetic number, because the mean of its divisors is an integer number (20100780).

Almost surely, 2688098996 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 688098996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964837440).

688098996 is an abundant number, since it is smaller than the sum of its proper divisors (1241575884).

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

688098996 is a wasteful number, since it uses less digits than its factorization.

688098996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The square root of 688098996 is about 26231.6411228882. The cubic root of 688098996 is about 882.8433323991.

The spelling of 688098996 in words is "six hundred eighty-eight million, ninety-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 257 351 468 514 702 771 1028 1404 1542 1907 2313 3084 3341 3814 4626 5721 6682 6939 7628 9252 10023 11442 13364 13878 17163 20046 22884 24791 27756 30069 34326 40092 49582 51489 60138 68652 74373 90207 99164 102978 120276 148746 180414 205956 223119 297492 360828 446238 490099 669357 892476 980198 1338714 1470297 1960396 2677428 2940594 4410891 5881188 6371287 8821782 12742574 13232673 17643564 19113861 25485148 26465346 38227722 52930692 57341583 76455444 114683166 172024749 229366332 344049498 688098996