Search a number
-
+
104407850772 = 2234719448187
BaseRepresentation
bin110000100111100110…
…0010101111100010100
3100222111100210100210000
41201033030111330110
53202311402211042
6115544142331300
710354216042251
oct1411714257424
9328440710700
10104407850772
1140308567685
1218299b89b30
139acba90c74
1450a6620428
152ab11c474c
hex184f315f14

104407850772 has 60 divisors (see below), whose sum is σ = 273322969920. Its totient is φ = 34754135184.

The previous prime is 104407850761. The next prime is 104407850801. The reversal of 104407850772 is 277058704401.

104407850772 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 78 + 507 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8863 + ... + 457049.

It is an arithmetic number, because the mean of its divisors is an integer number (4555382832).

Almost surely, 2104407850772 is an apocalyptic number.

104407850772 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 104407850772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136661484960).

104407850772 is an abundant number, since it is smaller than the sum of its proper divisors (168915119148).

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

104407850772 is a wasteful number, since it uses less digits than its factorization.

104407850772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448922 (or 448911 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 104407850772 in words is "one hundred four billion, four hundred seven million, eight hundred fifty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 719 1438 2157 2876 4314 6471 8628 12942 19413 25884 38826 58239 77652 116478 232956 448187 896374 1344561 1792748 2689122 4033683 5378244 8067366 12101049 16134732 24202098 36303147 48404196 72606294 145212588 322246453 644492906 966739359 1288985812 1933478718 2900218077 3866957436 5800436154 8700654231 11600872308 17401308462 26101962693 34802616924 52203925386 104407850772