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5268953184 = 253119775107
BaseRepresentation
bin1001110100000110…
…11101100001100000
3111121012110112222020
410322003131201200
541242323000214
62230455541440
7244366235355
oct47203354140
914535415866
105268953184
112264206570
12103068a880
1365c7a90a1
1437dab262c
1520c8814a9
hex13a0dd860

5268953184 has 96 divisors (see below), whose sum is σ = 15106766976. Its totient is φ = 1594705920.

The previous prime is 5268953159. The next prime is 5268953219. The reversal of 5268953184 is 4813598625.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029159 + ... + 1034265.

It is an arithmetic number, because the mean of its divisors is an integer number (157362156).

Almost surely, 25268953184 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 5268953184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553383488).

5268953184 is an abundant number, since it is smaller than the sum of its proper divisors (9837813792).

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

5268953184 is a wasteful number, since it uses less digits than its factorization.

5268953184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6100 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 5268953184 is about 72587.5552970342. Note that the first 3 decimals coincide. The cubic root of 5268953184 is about 1740.1022954788.

The spelling of 5268953184 in words is "five billion, two hundred sixty-eight million, nine hundred fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 977 1056 1954 2931 3908 5107 5862 7816 10214 10747 11724 15321 15632 20428 21494 23448 30642 31264 32241 40856 42988 46896 56177 61284 64482 81712 85976 93792 112354 122568 128964 163424 168531 171952 224708 245136 257928 337062 343904 449416 490272 515856 674124 898832 1031712 1348248 1797664 2696496 4989539 5392992 9979078 14968617 19958156 29937234 39916312 54884929 59874468 79832624 109769858 119748936 159665248 164654787 219539716 239497872 329309574 439079432 478995744 658619148 878158864 1317238296 1756317728 2634476592 5268953184