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1688080992 = 253131971191
BaseRepresentation
bin110010010011110…
…0001001001100000
311100122102101210020
41210213201021200
511424122042432
6435301233440
756555310633
oct14447411140
94318371706
101688080992
11796972264
123b1402880
1320b9653c0
141202a1c1a
159d2ec22c
hex649e1260

1688080992 has 96 divisors (see below), whose sum is σ = 5023307520. Its totient is φ = 492065280.

The previous prime is 1688080967. The next prime is 1688081033. The reversal of 1688080992 is 2990808861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent 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, 11884 + ... + 59307.

It is an arithmetic number, because the mean of its divisors is an integer number (52326120).

Almost surely, 21688080992 is an apocalyptic number.

1688080992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1688080992 is an abundant number, since it is smaller than the sum of its proper divisors (3335226528).

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

1688080992 is a wasteful number, since it uses less digits than its factorization.

1688080992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71236 (or 71228 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 1688080992 is about 41086.2628137435. The cubic root of 1688080992 is about 1190.6874054931.

The spelling of 1688080992 in words is "one billion, six hundred eighty-eight million, eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 71191 142382 213573 284764 427146 569528 854292 925483 1139056 1352629 1708584 1850966 2278112 2705258 2776449 3417168 3701932 4057887 5410516 5552898 6834336 7403864 8115774 10821032 11105796 14807728 16231548 17584177 21642064 22211592 29615456 32463096 35168354 43284128 44423184 52752531 64926192 70336708 88846368 105505062 129852384 140673416 211010124 281346832 422020248 562693664 844040496 1688080992