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5331917136 = 2437136072011
BaseRepresentation
bin1001111011100111…
…01001100101010000
3111202120221110021110
410331303221211100
541404432322021
62241025253320
7246062355630
oct47563514520
914676843243
105331917136
112296801297
121049794240
1366c853170
143881c26c0
1521316c476
hex13dce9950

5331917136 has 160 divisors (see below), whose sum is σ = 16989134848. Its totient is φ = 1403205120.

The previous prime is 5331917113. The next prime is 5331917147. The reversal of 5331917136 is 6317191335.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 5331917094 and 5331917103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650371 + ... + 2652381.

Almost surely, 25331917136 is an apocalyptic number.

5331917136 is a gapful number since it is divisible by the number (56) 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 5331917136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494567424).

5331917136 is an abundant number, since it is smaller than the sum of its proper divisors (11657217712).

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

5331917136 is a wasteful number, since it uses less digits than its factorization.

5331917136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2643 counting only the distinct ones).

The product of its digits is 51030, while the sum is 39.

The square root of 5331917136 is about 73019.9776499555. The cubic root of 5331917136 is about 1747.0062704920.

The spelling of 5331917136 in words is "five billion, three hundred thirty-one million, nine hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 607 624 728 1092 1214 1456 1821 2011 2184 2428 3642 4022 4249 4368 4856 6033 7284 7891 8044 8498 9712 12066 12747 14077 14568 15782 16088 16996 23673 24132 25494 26143 28154 29136 31564 32176 33992 42231 47346 48264 50988 52286 55237 56308 63128 67984 78429 84462 94692 96528 101976 104572 110474 112616 126256 156858 165711 168924 183001 189384 203952 209144 220948 225232 313716 331422 337848 366002 378768 418288 441896 549003 627432 662844 675696 732004 883792 1098006 1220677 1254864 1325688 1464008 2196012 2441354 2651376 2928016 3662031 4392024 4882708 7324062 8544739 8784048 9765416 14648124 15868801 17089478 19530832 25634217 29296248 31737602 34178956 47606403 51268434 58592496 63475204 68357912 95212806 102536868 111081607 126950408 136715824 190425612 205073736 222163214 253900816 333244821 380851224 410147472 444326428 666489642 761702448 888652856 1332979284 1777305712 2665958568 5331917136