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84131010992 = 24721794871231
BaseRepresentation
bin100111001011010011…
…0010101100110110000
322001011020100011202002
41032112212111212300
52334300014322432
6102352123313132
76035562536300
oct1162646254660
9261136304662
1084131010992
1132752842856
121437b37b7a8
137c19c37212
144101673600
1522c5ec1e62
hex13969959b0

84131010992 has 120 divisors (see below), whose sum is σ = 191222760960. Its totient is φ = 35752026240.

The previous prime is 84131010941. The next prime is 84131011093. The reversal of 84131010992 is 29901013148.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68343017 + ... + 68344247.

It is an arithmetic number, because the mean of its divisors is an integer number (1593523008).

Almost surely, 284131010992 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 84131010992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95611380480).

84131010992 is an abundant number, since it is smaller than the sum of its proper divisors (107091749968).

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

84131010992 is a wasteful number, since it uses less digits than its factorization.

84131010992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 84131010992 in words is "eighty-four billion, one hundred thirty-one million, ten thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 179 196 358 392 487 716 784 974 1231 1253 1432 1948 2462 2506 2864 3409 3896 4924 5012 6818 7792 8617 8771 9848 10024 13636 17234 17542 19696 20048 23863 27272 34468 35084 47726 54544 60319 68936 70168 87173 95452 120638 137872 140336 174346 190904 220349 241276 348692 381808 440698 482552 599497 610211 697384 881396 965104 1198994 1220422 1394768 1542443 1762792 2397988 2440844 3084886 3525584 4196479 4271477 4795976 4881688 6169772 8392958 8542954 9591952 9763376 10797101 12339544 16785916 17085908 21594202 24679088 29375353 33571832 34171816 43188404 58750706 67143664 68343632 86376808 107309963 117501412 172753616 214619926 235002824 429239852 470005648 751169741 858479704 1502339482 1716959408 3004678964 5258188187 6009357928 10516376374 12018715856 21032752748 42065505496 84131010992