Search a number
-
+
107289514008 = 2333975120729
BaseRepresentation
bin110001111101011110…
…1000001000000011000
3101020221012011000121000
41203322331001000120
53224212103422013
6121142122345000
710515506551635
oct1437275010030
9336835130530
10107289514008
1141557151946
121896305b160
13a16aab1641
14529b22118c
152bce190973
hex18faf41018

107289514008 has 64 divisors (see below), whose sum is σ = 301098924000. Its totient is φ = 35394471936.

The previous prime is 107289513983. The next prime is 107289514019. The reversal of 107289514008 is 800415982701.

107289514008 is a `hidden beast` number, since 107 + 28 + 9 + 514 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×1072895140082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 2539413 + ... + 2581316.

Almost surely, 2107289514008 is an apocalyptic number.

107289514008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107289514008 is an abundant number, since it is smaller than the sum of its proper divisors (193809409992).

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

107289514008 is a wasteful number, since it uses less digits than its factorization.

107289514008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120841 (or 5120831 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 107289514008 in words is "one hundred seven billion, two hundred eighty-nine million, five hundred fourteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 3492 5238 6984 10476 20952 5120729 10241458 15362187 20482916 30724374 40965832 46086561 61448748 92173122 122897496 138259683 184346244 276519366 368692488 496710713 553038732 993421426 1106077464 1490132139 1986842852 2980264278 3973685704 4470396417 5960528556 8940792834 11921057112 13411189251 17881585668 26822378502 35763171336 53644757004 107289514008