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5252667264 = 27341338971
BaseRepresentation
bin1001110010001010…
…10101011110000000
3111120001211010220000
410321011111132000
541224140323024
62225114520000
7244110635505
oct47105253600
914501733800
105252667264
112255aa2729
121027136000
136592c6350
1437b8734ac
1520b215cc9
hex139155780

5252667264 has 160 divisors (see below), whose sum is σ = 16834734840. Its totient is φ = 1616163840.

The previous prime is 5252667227. The next prime is 5252667271. The reversal of 5252667264 is 4627662525.

5252667264 is a `hidden beast` number, since 5 + 2 + 526 + 67 + 2 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115299 + ... + 154269.

Almost surely, 25252667264 is an apocalyptic number.

5252667264 is a gapful number since it is divisible by the number (54) 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 5252667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417367420).

5252667264 is an abundant number, since it is smaller than the sum of its proper divisors (11582067576).

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

5252667264 is a wasteful number, since it uses less digits than its factorization.

5252667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39010 (or 38989 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5252667264 is about 72475.2872640047. The cubic root of 5252667264 is about 1738.3076053337.

The spelling of 5252667264 in words is "five billion, two hundred fifty-two million, six hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 38971 44928 67392 77942 116913 134784 155884 233826 311768 350739 467652 506623 623536 701478 935304 1013246 1052217 1247072 1402956 1519869 1870608 2026492 2104434 2494144 2805912 3039738 3156651 3741216 4052984 4208868 4559607 4988288 5611824 6079476 6313302 7482432 8105968 8417736 9119214 11223648 12158952 12626604 13678821 14964864 16211936 16835472 18238428 22447296 24317904 25253208 27357642 32423872 33670944 36476856 41036463 44894592 48635808 50506416 54715284 64847744 67341888 72953712 82072926 97271616 101012832 109430568 134683776 145907424 164145852 194543232 202025664 218861136 291814848 328291704 404051328 437722272 583629696 656583408 875444544 1313166816 1750889088 2626333632 5252667264