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74132381790 = 236589114259
BaseRepresentation
bin100010100001010100…
…0100110000001011110
321002100102011012000000
41011002220212001132
52203310342204130
654020030115130
75233032563655
oct1050250460136
9232312135000
1074132381790
1129491884735
121244a94baa6
136cb560998c
14383378a19c
151ddd2d5260
hex1142a2605e

74132381790 has 112 divisors (see below), whose sum is σ = 202315611600. Its totient is φ = 19546344576.

The previous prime is 74132381777. The next prime is 74132381803. The reversal of 74132381790 is 9718323147.

74132381790 is a `hidden beast` number, since 74 + 132 + 381 + 79 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74132381777) and next prime (74132381803).

It is a super-2 number, since 2×741323817902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 591681 + ... + 705939.

Almost surely, 274132381790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74132381790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101157805800).

74132381790 is an abundant number, since it is smaller than the sum of its proper divisors (128183229810).

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

74132381790 is a wasteful number, since it uses less digits than its factorization.

74132381790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114373 (or 114358 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 74132381790 in words is "seventy-four billion, one hundred thirty-two million, three hundred eighty-one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 243 267 270 405 445 486 534 729 801 810 890 1215 1335 1458 1602 2403 2430 2670 3645 4005 4806 7209 7290 8010 12015 14418 21627 24030 36045 43254 64881 72090 108135 114259 129762 216270 228518 324405 342777 571295 648810 685554 1028331 1142590 1713885 2056662 3084993 3427770 5141655 6169986 9254979 10169051 10283310 15424965 18509958 20338102 27764937 30507153 30849930 46274895 50845255 55529874 61014306 83294811 91521459 92549790 101690510 138824685 152535765 166589622 183042918 274564377 277649370 305071530 416474055 457607295 549128754 823693131 832948110 915214590 1372821885 1647386262 2471079393 2745643770 4118465655 4942158786 7413238179 8236931310 12355396965 14826476358 24710793930 37066190895 74132381790