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6992133192 = 2334112114649
BaseRepresentation
bin1101000001100001…
…10111110001001000
3200001021221011120000
412200300313301020
5103304441230232
63113453403000
7335162102652
oct64060676110
920037834500
106992133192
112a68971180
121431799460
138757b0325
144a48ad6d2
152adcb327c
hex1a0c37c48

6992133192 has 160 divisors (see below), whose sum is σ = 21470724000. Its totient is φ = 2108332800.

The previous prime is 6992133149. The next prime is 6992133221. The reversal of 6992133192 is 2913312996.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1501684 + ... + 1506332.

It is an arithmetic number, because the mean of its divisors is an integer number (134192025).

Almost surely, 26992133192 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 6992133192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10735362000).

6992133192 is an abundant number, since it is smaller than the sum of its proper divisors (14478590808).

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

6992133192 is a wasteful number, since it uses less digits than its factorization.

6992133192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4876 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 6992133192 is about 83618.9762673521. The cubic root of 6992133192 is about 1912.2143111899.

The spelling of 6992133192 in words is "six billion, nine hundred ninety-two million, one hundred thirty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 211 216 264 297 324 396 422 594 633 648 792 844 891 1188 1266 1688 1782 1899 2321 2376 2532 3564 3798 4642 4649 5064 5697 6963 7128 7596 9284 9298 11394 13926 13947 15192 17091 18568 18596 20889 22788 27852 27894 34182 37192 41778 41841 45576 51139 55704 55788 62667 68364 83556 83682 102278 111576 125334 125523 136728 153417 167112 167364 188001 204556 250668 251046 306834 334728 376002 376569 409112 460251 501336 502092 613668 752004 753138 920502 980939 1004184 1227336 1380753 1504008 1506276 1841004 1961878 2761506 2942817 3012552 3682008 3923756 4142259 5523012 5885634 7847512 8284518 8828451 10790329 11046024 11771268 16569036 17656902 21580658 23542536 26485353 32370987 33138072 35313804 43161316 52970706 64741974 70627608 79456059 86322632 97112961 105941412 129483948 158912118 194225922 211882824 258967896 291338883 317824236 388451844 582677766 635648472 776903688 874016649 1165355532 1748033298 2330711064 3496066596 6992133192