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6880659552 = 2532134014583
BaseRepresentation
bin1100110100001111…
…01000100001100000
3122202112011201110200
412122013220201200
5103042422101202
63054432225200
7332336432634
oct63207504140
918675151420
106880659552
112a10a533a8
12140039b200
138586802b0
14493b72dc4
152a40e3e1c
hex19a1e8860

6880659552 has 144 divisors (see below), whose sum is σ = 21129177888. Its totient is φ = 2111385600.

The previous prime is 6880659493. The next prime is 6880659559. The reversal of 6880659552 is 2559560886.

6880659552 is a `hidden beast` number, since 6 + 8 + 80 + 6 + 5 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6880659559) 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 23 ways as a sum of consecutive naturals, for example, 1499053 + ... + 1503635.

It is an arithmetic number, because the mean of its divisors is an integer number (146730402).

Almost surely, 26880659552 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 6880659552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564588944).

6880659552 is an abundant number, since it is smaller than the sum of its proper divisors (14248518336).

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

6880659552 is a wasteful number, since it uses less digits than its factorization.

6880659552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The square root of 6880659552 is about 82949.7411207534. The cubic root of 6880659552 is about 1901.9978571428.

The spelling of 6880659552 in words is "six billion, eight hundred eighty million, six hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 401 416 468 624 802 936 1203 1248 1604 1872 2406 3208 3609 3744 4583 4812 5213 6416 7218 9166 9624 10426 12832 13749 14436 15639 18332 19248 20852 27498 28872 31278 36664 38496 41247 41704 46917 54996 57744 59579 62556 73328 82494 83408 93834 109992 115488 119158 125112 146656 164988 166816 178737 187668 219984 238316 250224 329976 357474 375336 439968 476632 500448 536211 659952 714948 750672 953264 1072422 1319904 1429896 1501344 1837783 1906528 2144844 2859792 3675566 4289688 5513349 5719584 7351132 8579376 11026698 14702264 16540047 17158752 22053396 23891179 29404528 33080094 44106792 47782358 58809056 66160188 71673537 88213584 95564716 132320376 143347074 176427168 191129432 215020611 264640752 286694148 382258864 430041222 529281504 573388296 764517728 860082444 1146776592 1720164888 2293553184 3440329776 6880659552