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4153116402 = 23541257811
BaseRepresentation
bin1111011110001011…
…1000011011110010
3101201102211011200000
43313202320123302
532001144211102
61524035410430
7204626623041
oct36742703362
911642734600
104153116402
111841364906
1297aa53a16
13512571c36
142b5810558
1519491d01c
hexf78b86f2

4153116402 has 96 divisors (see below), whose sum is σ = 9608324544. Its totient is φ = 1343692800.

The previous prime is 4153116397. The next prime is 4153116421. The reversal of 4153116402 is 2046113514.

It is a happy number.

4153116402 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 11 + 640 + 2 = 666.

It is a super-2 number, since 2×41531164022 = 34496751697122851208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5120577 + ... + 5121387.

It is an arithmetic number, because the mean of its divisors is an integer number (100086714).

Almost surely, 24153116402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153116402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804162272).

4153116402 is an abundant number, since it is smaller than the sum of its proper divisors (5455208142).

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

4153116402 is a wasteful number, since it uses less digits than its factorization.

4153116402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4153116402 is about 64444.6770649058. The cubic root of 4153116402 is about 1607.4027284457.

Adding to 4153116402 its reverse (2046113514), we get a palindrome (6199229916).

The spelling of 4153116402 in words is "four billion, one hundred fifty-three million, one hundred sixteen thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 257 369 486 514 738 771 811 1107 1542 1622 2214 2313 2433 3321 4626 4866 6642 6939 7299 9963 10537 13878 14598 19926 20817 21074 21897 31611 33251 41634 43794 62451 63222 65691 66502 94833 99753 124902 131382 189666 197073 199506 208427 284499 299259 394146 416854 568998 598518 625281 853497 897777 1250562 1706994 1795554 1875843 2560491 2693331 3751686 5120982 5386662 5627529 8079993 8545507 11255058 16159986 16882587 17091014 25636521 33765174 50647761 51273042 76909563 101295522 153819126 230728689 461457378 692186067 1384372134 2076558201 4153116402