Search a number
-
+
104115919104 = 283319792793
BaseRepresentation
bin110000011110111001…
…0101101100100000000
3100221202000110200211000
41200331302231210000
53201212133402404
6115455153252000
710344042465441
oct1407562554400
9327660420730
10104115919104
11401787a403a
1218218264000
139a83459732
14507994b2c8
152a9575b339
hex183dcad900

104115919104 has 144 divisors (see below), whose sum is σ = 324094187200. Its totient is φ = 32878669824.

The previous prime is 104115919073. The next prime is 104115919121. The reversal of 104115919104 is 401919511401.

104115919104 is a `hidden beast` number, since 1 + 0 + 411 + 59 + 191 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1041159191042 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265069 + ... + 527724.

Almost surely, 2104115919104 is an apocalyptic number.

It is an amenable number.

104115919104 is an abundant number, since it is smaller than the sum of its proper divisors (219978268096).

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

104115919104 is an equidigital number, since it uses as much as digits as its factorization.

104115919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792837 (or 792817 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 104115919104 in words is "one hundred four billion, one hundred fifteen million, nine hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 32832 43776 65664 131328 792793 1585586 2378379 3171172 4756758 6342344 7135137 9513516 12684688 14270274 15063067 19027032 21405411 25369376 28540548 30126134 38054064 42810822 45189201 50738752 57081096 60252268 76108128 85621644 90378402 101477504 114162192 120504536 135567603 152216256 171243288 180756804 202955008 228324384 241009072 271135206 304432512 342486576 361513608 406702809 456648768 482018144 542270412 608865024 684973152 723027216 813405618 913297536 964036288 1084540824 1369946304 1446054432 1626811236 1826595072 1928072576 2169081648 2739892608 2892108864 3253622472 3856145152 4338163296 5479785216 5784217728 6507244944 8676326592 11568435456 13014489888 17352653184 26028979776 34705306368 52057959552 104115919104