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20177052120 = 2332556047367
BaseRepresentation
bin10010110010101001…
…010110000111011000
31221002011200110002200
4102302221112013120
5312310311131440
613134052130200
71313002053561
oct226251260730
957064613080
1020177052120
118614468995
123ab1306960
131b97288ac4
14d95a13168
157d1590c30
hex4b2a561d8

20177052120 has 48 divisors (see below), whose sum is σ = 65575420560. Its totient is φ = 5380547136.

The previous prime is 20177052113. The next prime is 20177052127. The reversal of 20177052120 is 2125077102.

It is an interprime number because it is at equal distance from previous prime (20177052113) and next prime (20177052127).

It is a super-2 number, since 2×201770521202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20177052127) 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, 28023324 + ... + 28024043.

It is an arithmetic number, because the mean of its divisors is an integer number (1366154595).

Almost surely, 220177052120 is an apocalyptic number.

20177052120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20177052120 is an abundant number, since it is smaller than the sum of its proper divisors (45398368440).

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

20177052120 is a wasteful number, since it uses less digits than its factorization.

20177052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56047384 (or 56047377 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 20177052120 in words is "twenty billion, one hundred seventy-seven million, fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 56047367 112094734 168142101 224189468 280236835 336284202 448378936 504426303 560473670 672568404 840710505 1008852606 1120947340 1345136808 1681421010 2017705212 2241894680 2522131515 3362842020 4035410424 5044263030 6725684040 10088526060 20177052120