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104149918728 = 233223499126037
BaseRepresentation
bin110000011111111010…
…0011010010000001000
3100221211101110001112100
41200333310122100020
53201244334344403
6115502410113400
710344634462632
oct1407764322010
9327741401470
10104149918728
1140195a064a9
121822771b860
139a8a50205b
14508027ba52
152a987252a3
hex183fd1a408

104149918728 has 96 divisors (see below), whose sum is σ = 294928920000. Its totient is φ = 33140409984.

The previous prime is 104149918723. The next prime is 104149918759. The reversal of 104149918728 is 827819941401.

104149918728 is a `hidden beast` number, since 10 + 41 + 499 + 1 + 87 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (104149918723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 763326 + ... + 889362.

It is an arithmetic number, because the mean of its divisors is an integer number (3072176250).

Almost surely, 2104149918728 is an apocalyptic number.

104149918728 is a gapful number since it is divisible by the number (18) 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 104149918728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147464460000).

104149918728 is an abundant number, since it is smaller than the sum of its proper divisors (190779001272).

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

104149918728 is a wasteful number, since it uses less digits than its factorization.

104149918728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126571 (or 126564 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 104149918728 in words is "one hundred four billion, one hundred forty-nine million, nine hundred eighteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 499 552 828 998 1497 1656 1996 2994 3992 4491 5988 8982 11477 11976 17964 22954 34431 35928 45908 68862 91816 103293 126037 137724 206586 252074 275448 378111 413172 504148 756222 826344 1008296 1134333 1512444 2268666 2898851 3024888 4537332 5797702 8696553 9074664 11595404 17393106 23190808 26089659 34786212 52179318 62892463 69572424 104358636 125784926 188677389 208717272 251569852 377354778 503139704 566032167 754709556 1132064334 1446526649 1509419112 2264128668 2893053298 4339579947 4528257336 5786106596 8679159894 11572213192 13018739841 17358319788 26037479682 34716639576 52074959364 104149918728