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104114617452 = 223219757720089
BaseRepresentation
bin110000011110110110…
…1101111110001101100
3100221201221000120021200
41200331231233301230
53201211320224302
6115455105325500
710344025434516
oct1407555576154
9327657016250
10104114617452
1140177a9509a
1218217936890
139a830c2121
1450796ccbb6
152a955a081c
hex183db6fc6c

104114617452 has 72 divisors (see below), whose sum is σ = 277080476400. Its totient is φ = 32872324608.

The previous prime is 104114617421. The next prime is 104114617459. The reversal of 104114617452 is 254716411401.

104114617452 is a `hidden beast` number, since 10 + 41 + 146 + 17 + 452 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (104114617459) 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, 5172624 + ... + 5192712.

It is an arithmetic number, because the mean of its divisors is an integer number (3848339950).

Almost surely, 2104114617452 is an apocalyptic number.

104114617452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104114617452 is an abundant number, since it is smaller than the sum of its proper divisors (172965858948).

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

104114617452 is a wasteful number, since it uses less digits than its factorization.

104114617452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27695 (or 27690 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 104114617452 in words is "one hundred four billion, one hundred fourteen million, six hundred seventeen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 7577 15154 20089 22731 30308 40178 45462 60267 68193 80356 90924 120534 136386 143963 180801 241068 272772 287926 361602 381691 431889 575852 723204 763382 863778 1145073 1295667 1526764 1727556 2290146 2591334 3435219 4580292 5182668 6870438 13740876 152214353 304428706 456643059 608857412 913286118 1369929177 1826572236 2739858354 2892072707 5479716708 5784145414 8676218121 11568290828 17352436242 26028654363 34704872484 52057308726 104114617452