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5624064264 = 2337139672663
BaseRepresentation
bin1010011110011100…
…00110100100001000
3112111221200001210110
411033032012210020
543004230024024
62330023114320
7256240520550
oct51716064410
915457601713
105624064264
1124267017a5
12110b5a29a0
136b82317a0
143b4d10160
1522db29629
hex14f386908

5624064264 has 128 divisors (see below), whose sum is σ = 17329213440. Its totient is φ = 1481179392.

The previous prime is 5624064247. The next prime is 5624064293. The reversal of 5624064264 is 4624604265.

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

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, 2110597 + ... + 2113259.

It is an arithmetic number, because the mean of its divisors is an integer number (135384480).

Almost surely, 25624064264 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 5624064264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664606720).

5624064264 is an abundant number, since it is smaller than the sum of its proper divisors (11705149176).

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

5624064264 is a wasteful number, since it uses less digits than its factorization.

5624064264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 5624064264 is about 74993.7615005408. The cubic root of 5624064264 is about 1778.3480300913.

The spelling of 5624064264 in words is "five billion, six hundred twenty-four million, sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 967 1092 1934 2184 2663 2901 3868 5326 5802 6769 7736 7989 10652 11604 12571 13538 15978 18641 20307 21304 23208 25142 27076 31956 34619 37282 37713 40614 50284 54152 55923 63912 69238 74564 75426 81228 87997 100568 103857 111846 138476 149128 150852 162456 175994 207714 223692 242333 263991 276952 301704 351988 415428 447384 484666 527982 703976 726999 830856 969332 1055964 1453998 1938664 2111928 2575121 2907996 5150242 5815992 7725363 10300484 15450726 18025847 20600968 30901452 33476573 36051694 54077541 61802904 66953146 72103388 100429719 108155082 133906292 144206776 200859438 216310164 234336011 267812584 401718876 432620328 468672022 703008033 803437752 937344044 1406016066 1874688088 2812032132 5624064264