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137412332006700 = 22352463511988199
BaseRepresentation
bin11111001111100111001101…
…001111001010110100101100
3200000112111020200101111001210
4133033213031033022310230
5121002330423443203300
61204130204233234420
740641466454203212
oct3717471517126454
9600474220344053
10137412332006700
113a8692740a4043
12134b351bb62a10
135b89c093a991a
1425d0b1431acb2
1510d4624144050
hex7cf9cd3cad2c

137412332006700 has 72 divisors (see below), whose sum is σ = 397580940691200. Its totient is φ = 36643172398400.

The previous prime is 137412332006681. The next prime is 137412332006731. The reversal of 137412332006700 is 7600233214731.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138559201 + ... + 139547399.

It is an arithmetic number, because the mean of its divisors is an integer number (5521957509600).

Almost surely, 2137412332006700 is an apocalyptic number.

137412332006700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137412332006700 is an abundant number, since it is smaller than the sum of its proper divisors (260168608684500).

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

137412332006700 is a wasteful number, since it uses less digits than its factorization.

137412332006700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451727 (or 1451720 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 137412332006700 in words is "one hundred thirty-seven trillion, four hundred twelve billion, three hundred thirty-two million, six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 463511 927022 988199 1390533 1854044 1976398 2317555 2781066 2964597 3952796 4635110 4940995 5562132 5929194 6952665 9270220 9881990 11587775 11858388 13905330 14822985 19763980 23175550 24704975 27810660 29645970 34763325 46351100 49409950 59291940 69526650 74114925 98819900 139053300 148229850 296459700 458041106689 916082213378 1374123320067 1832164426756 2290205533445 2748246640134 4580411066890 5496493280268 6870616600335 9160822133780 11451027667225 13741233200670 22902055334450 27482466401340 34353083001675 45804110668900 68706166003350 137412332006700