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133424674020 = 2232511479140681
BaseRepresentation
bin111110001000010111…
…0101111010011100100
3110202101121001201012100
41330100232233103210
54141223204032040
6141143333452100
712432250005501
oct1742056572344
9422347051170
10133424674020
1151648828440
1221a377a1030
13c774559371
14665a25a4a8
15370d841b30
hex1f10baf4e4

133424674020 has 144 divisors (see below), whose sum is σ = 442439262720. Its totient is φ = 32277619200.

The previous prime is 133424674001. The next prime is 133424674037. The reversal of 133424674020 is 20476424331.

133424674020 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 246 + 7 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878080 + ... + 1018760.

It is an arithmetic number, because the mean of its divisors is an integer number (3072494880).

Almost surely, 2133424674020 is an apocalyptic number.

133424674020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133424674020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221219631360).

133424674020 is an abundant number, since it is smaller than the sum of its proper divisors (309014588700).

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

133424674020 is a wasteful number, since it uses less digits than its factorization.

133424674020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141186 (or 141181 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 133424674020 in words is "one hundred thirty-three billion, four hundred twenty-four million, six hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 479 495 660 958 990 1437 1916 1980 2395 2874 4311 4790 5269 5748 7185 8622 9580 10538 14370 15807 17244 21076 21555 26345 28740 31614 43110 47421 52690 63228 79035 86220 94842 105380 140681 158070 189684 237105 281362 316140 422043 474210 562724 703405 844086 948420 1266129 1406810 1547491 1688172 2110215 2532258 2813620 3094982 4220430 4642473 5064516 6189964 6330645 7737455 8440860 9284946 12661290 13927419 15474910 18569892 23212365 25322580 27854838 30949820 46424730 55709676 67386199 69637095 92849460 134772398 139274190 202158597 269544796 278548380 336930995 404317194 606475791 673861990 741248189 808634388 1010792985 1212951582 1347723980 1482496378 2021585970 2223744567 2425903164 2964992756 3032378955 3706240945 4043171940 4447489134 6064757910 6671233701 7412481890 8894978268 11118722835 12129515820 13342467402 14824963780 22237445670 26684934804 33356168505 44474891340 66712337010 133424674020