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5135383624 = 2373779137229
BaseRepresentation
bin1001100100001011…
…11011110001001000
3111020220010111222111
410302011323301020
541004124233444
62205325032104
7241155016630
oct46205736110
914226114874
105135383624
1121a58767a8
12bb39b5634
1363ac10947
1436a0636c0
15200c9a234
hex13217bc48

5135383624 has 128 divisors (see below), whose sum is σ = 11578752000. Its totient is φ = 2089691136.

The previous prime is 5135383601. The next prime is 5135383651. The reversal of 5135383624 is 4263835315.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22425142 + ... + 22425370.

It is an arithmetic number, because the mean of its divisors is an integer number (90459000).

Almost surely, 25135383624 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 5135383624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789376000).

5135383624 is an abundant number, since it is smaller than the sum of its proper divisors (6443368376).

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

5135383624 is a wasteful number, since it uses less digits than its factorization.

5135383624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 5135383624 is about 71661.5909954559. The cubic root of 5135383624 is about 1725.2722246564.

The spelling of 5135383624 in words is "five billion, one hundred thirty-five million, three hundred eighty-three thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 79 137 148 158 229 259 274 296 316 458 518 548 553 632 916 959 1036 1096 1106 1603 1832 1918 2072 2212 2923 3206 3836 4424 5069 5846 6412 7672 8473 10138 10823 11692 12824 16946 18091 20276 20461 21646 23384 31373 33892 35483 36182 40552 40922 43292 59311 62746 67784 70966 72364 75761 81844 86584 118622 125492 126637 141932 144728 151522 163688 219611 237244 250984 253274 283864 303044 400451 439222 474488 506548 606088 669367 800902 878444 1013096 1160801 1338734 1601804 1756888 2321602 2478467 2677468 2803157 3203608 4643204 4685569 4956934 5354936 5606314 8125607 9286408 9371138 9913868 11212628 16251214 17349269 18742276 19827736 22425256 32502428 34698538 37484552 65004856 69397076 91703279 138794152 183406558 366813116 641922953 733626232 1283845906 2567691812 5135383624