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5635114272 = 25346593299
BaseRepresentation
bin1010011111110000…
…10000010100100000
3112112201110110120000
411033320100110200
543020042124042
62331100020000
7256433452404
oct51770202440
915481413500
105635114272
112431969837
121113231600
136ba600258
143b6589104
1522eaad74c
hex14fe10520

5635114272 has 120 divisors (see below), whose sum is σ = 16602894000. Its totient is φ = 1874952576.

The previous prime is 5635114237. The next prime is 5635114301. The reversal of 5635114272 is 2724115365.

5635114272 is a `hidden beast` number, since 5 + 635 + 1 + 14 + 2 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1706479 + ... + 1709777.

It is an arithmetic number, because the mean of its divisors is an integer number (138357450).

Almost surely, 25635114272 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 5635114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301447000).

5635114272 is an abundant number, since it is smaller than the sum of its proper divisors (10967779728).

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

5635114272 is a wasteful number, since it uses less digits than its factorization.

5635114272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3963 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5635114272 is about 75067.3981965540. The cubic root of 5635114272 is about 1779.5119513712.

The spelling of 5635114272 in words is "five billion, six hundred thirty-five million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 659 864 1296 1318 1977 2592 2636 3299 3954 5272 5931 6598 7908 9897 10544 11862 13196 15816 17793 19794 21088 23724 26392 29691 31632 35586 39588 47448 52784 53379 59382 63264 71172 79176 89073 94896 105568 106758 118764 142344 158352 178146 189792 213516 237528 267219 284688 316704 356292 427032 475056 534438 569376 712584 854064 950112 1068876 1425168 1708128 2137752 2174041 2850336 4275504 4348082 6522123 8551008 8696164 13044246 17392328 19566369 26088492 34784656 39132738 52176984 58699107 69569312 78265476 104353968 117398214 156530952 176097321 208707936 234796428 313061904 352194642 469592856 626123808 704389284 939185712 1408778568 1878371424 2817557136 5635114272