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104006151612 = 223211283287669
BaseRepresentation
bin110000011011100111…
…1111110110110111100
3100221110100220221010100
41200313033332312330
53201001033322422
6115440232441100
710341240462546
oct1406717766674
9327410827110
10104006151612
1140121841100
12181a7549190
139a667a615c
145069136696
152a8acc77ac
hex18373fedbc

104006151612 has 108 divisors (see below), whose sum is σ = 292460280840. Its totient is φ = 31137184320.

The previous prime is 104006151583. The next prime is 104006151637. The reversal of 104006151612 is 216151600401.

104006151612 is a `hidden beast` number, since 1 + 0 + 40 + 0 + 6 + 1 + 5 + 1 + 612 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217714 + ... + 505382.

Almost surely, 2104006151612 is an apocalyptic number.

104006151612 is a gapful number since it is divisible by the number (12) 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 104006151612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146230140420).

104006151612 is an abundant number, since it is smaller than the sum of its proper divisors (188454129228).

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

104006151612 is a wasteful number, since it uses less digits than its factorization.

104006151612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287784 (or 287768 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 104006151612 in words is "one hundred four billion, six million, one hundred fifty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 121 132 166 198 242 249 332 363 396 484 498 726 747 913 996 1089 1452 1494 1826 2178 2739 2988 3652 4356 5478 8217 10043 10956 16434 20086 30129 32868 40172 60258 90387 120516 180774 287669 361548 575338 863007 1150676 1726014 2589021 3164359 3452028 5178042 6328718 9493077 10356084 12657436 18986154 23876527 28479231 34807949 37972308 47753054 56958462 69615898 71629581 95506108 104423847 113916924 139231796 143259162 208847694 214888743 262641797 286518324 313271541 417695388 429777486 525283594 626543082 787925391 859554972 1050567188 1253086164 1575850782 2363776173 2889059767 3151701564 4727552346 5778119534 8667179301 9455104692 11556239068 17334358602 26001537903 34668717204 52003075806 104006151612