Search a number
-
+
104688403992 = 2334557290047
BaseRepresentation
bin110000101111111101…
…0100100011000011000
3101000012220200221110000
41201133322210120120
53203400212411432
6120032043453000
710364163515544
oct1413772443030
9330186627400
10104688403992
1140441969447
1218357b27160
139b44c403a3
1450d19b0a24
152acab4157c
hex185fea4618

104688403992 has 80 divisors (see below), whose sum is σ = 293751912960. Its totient is φ = 34833364416.

The previous prime is 104688403991. The next prime is 104688404017. The reversal of 104688403992 is 299304886401.

104688403992 is a `hidden beast` number, since 10 + 468 + 84 + 0 + 3 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104688403991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 215913 + ... + 505959.

It is an arithmetic number, because the mean of its divisors is an integer number (3671898912).

Almost surely, 2104688403992 is an apocalyptic number.

104688403992 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 104688403992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146875956480).

104688403992 is an abundant number, since it is smaller than the sum of its proper divisors (189063508968).

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

104688403992 is a wasteful number, since it uses less digits than its factorization.

104688403992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290622 (or 290609 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 104688403992 in words is "one hundred four billion, six hundred eighty-eight million, four hundred three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 557 648 1114 1671 2228 3342 4456 5013 6684 10026 13368 15039 20052 30078 40104 45117 60156 90234 120312 180468 290047 360936 580094 870141 1160188 1740282 2320376 2610423 3480564 5220846 6961128 7831269 10441692 15662538 20883384 23493807 31325076 46987614 62650152 93975228 161556179 187950456 323112358 484668537 646224716 969337074 1292449432 1454005611 1938674148 2908011222 3877348296 4362016833 5816022444 8724033666 11632044888 13086050499 17448067332 26172100998 34896134664 52344201996 104688403992