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5653351152 = 2433127103043
BaseRepresentation
bin1010100001111011…
…10100101011110000
3112120222202222212000
411100331310223300
543034224214102
62332550534000
7260044456221
oct52075645360
915528688760
105653351152
112441195439
121119367300
136c1316cc7
143b8b75248
152314b201c
hex150f74af0

5653351152 has 80 divisors (see below), whose sum is σ = 16355143680. Its totient is φ = 1869594048.

The previous prime is 5653351129. The next prime is 5653351183. The reversal of 5653351152 is 2511533565.

5653351152 is a `hidden beast` number, since 5 + 6 + 533 + 5 + 115 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 3343 + ... + 106385.

It is an arithmetic number, because the mean of its divisors is an integer number (204439296).

Almost surely, 25653351152 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 5653351152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8177571840).

5653351152 is an abundant number, since it is smaller than the sum of its proper divisors (10701792528).

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

5653351152 is a wasteful number, since it uses less digits than its factorization.

5653351152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103187 (or 103175 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The square root of 5653351152 is about 75188.7701189479. The cubic root of 5653351152 is about 1781.4295581429.

The spelling of 5653351152 in words is "five billion, six hundred fifty-three million, three hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 6096 6858 9144 13716 18288 27432 54864 103043 206086 309129 412172 618258 824344 927387 1236516 1648688 1854774 2473032 2782161 3709548 4946064 5564322 7419096 11128644 13086461 14838192 22257288 26172922 39259383 44514576 52345844 78518766 104691688 117778149 157037532 209383376 235556298 314075064 353334447 471112596 628150128 706668894 942225192 1413337788 1884450384 2826675576 5653351152