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688169520272 = 241317691281647
BaseRepresentation
bin10100000001110100001…
…10011000110010010000
32102210021201100202111002
422000322012120302100
542233332344122042
61244050221041132
7100501324256663
oct12007206306220
92383251322432
10688169520272
1124593a832123
12b14566b61a8
134cb8147a290
14254440136da
1512d7a670132
hexa03a198c90

688169520272 has 80 divisors (see below), whose sum is σ = 1522562049792. Its totient is φ = 298499696640.

The previous prime is 688169520209. The next prime is 688169520281. The reversal of 688169520272 is 272025961886.

It is a happy number.

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, 2302553 + ... + 2584199.

Almost surely, 2688169520272 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 688169520272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761281024896).

688169520272 is an abundant number, since it is smaller than the sum of its proper divisors (834392529520).

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

688169520272 is a wasteful number, since it uses less digits than its factorization.

688169520272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282376 (or 282370 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 688169520272 in words is "six hundred eighty-eight billion, one hundred sixty-nine million, five hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 691 884 1382 1768 2764 3536 5528 8983 11056 11747 17966 23494 35932 46988 71864 93976 143728 152711 187952 281647 305422 563294 610844 1126588 1221688 2253176 2443376 3661411 4506352 4787999 7322822 9575998 14645644 19151996 29291288 38303992 58582576 62243987 76607984 124487974 194618077 248975948 389236154 497951896 778472308 995903792 1556944616 2530035001 3113889232 3308507309 5060070002 6617014618 10120140004 13234029236 20240280008 26468058472 40480560016 43010595017 52936116944 86021190034 172042380068 344084760136 688169520272