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137704714400 = 25521115648263
BaseRepresentation
bin1000000000111111010…
…1110011000010100000
3111011102212201021211102
42000033311303002200
54224004401330100
6143132145533532
712643310521361
oct2001765630240
9434385637742
10137704714400
11534447a30a0
12228310442a8
13cca71aa936
146944869b68
1538ae481cd5
hex200fd730a0

137704714400 has 72 divisors (see below), whose sum is σ = 366732715104. Its totient is φ = 50074438400.

The previous prime is 137704714397. The next prime is 137704714403. The reversal of 137704714400 is 4417407731.

It is an interprime number because it is at equal distance from previous prime (137704714397) and next prime (137704714403).

It is not an unprimeable number, because it can be changed into a prime (137704714403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7815332 + ... + 7832931.

It is an arithmetic number, because the mean of its divisors is an integer number (5093509932).

Almost surely, 2137704714400 is an apocalyptic number.

137704714400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137704714400 is an abundant number, since it is smaller than the sum of its proper divisors (229028000704).

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

137704714400 is a wasteful number, since it uses less digits than its factorization.

137704714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15648294 (or 15648281 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The spelling of 137704714400 in words is "one hundred thirty-seven billion, seven hundred four million, seven hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 15648263 31296526 62593052 78241315 125186104 156482630 172130893 250372208 312965260 344261786 391206575 500744416 625930520 688523572 782413150 860654465 1251861040 1377047144 1564826300 1721308930 2503722080 2754094288 3129652600 3442617860 4303272325 5508188576 6259305200 6885235720 8606544650 12518610400 13770471440 17213089300 27540942880 34426178600 68852357200 137704714400