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42172620156 = 22321171461671
BaseRepresentation
bin100111010001101011…
…110001110101111100
311000212002020002001200
4213101223301311330
51142332142321111
631212425335500
73022035233232
oct472153616574
9130762202050
1042172620156
1116981387797
12820b637590
133c91218714
142080d5c952
15116c5e6256
hex9d1af1d7c

42172620156 has 18 divisors (see below), whose sum is σ = 106603012152. Its totient is φ = 14057540040.

The previous prime is 42172620121. The next prime is 42172620179. The reversal of 42172620156 is 65102627124.

It is a happy number.

42172620156 is a `hidden beast` number, since 4 + 2 + 17 + 2 + 620 + 15 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1171461671 = 42172620156 / (4 + 2 + 1 + 7 + 2 + 6 + 2 + 0 + 1 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 42172620156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 585730800 + ... + 585730871.

It is an arithmetic number, because the mean of its divisors is an integer number (5922389564).

Almost surely, 242172620156 is an apocalyptic number.

It is an amenable number.

42172620156 is an abundant number, since it is smaller than the sum of its proper divisors (64430391996).

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

42172620156 is a wasteful number, since it uses less digits than its factorization.

42172620156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171461681 (or 1171461676 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 42172620156 in words is "forty-two billion, one hundred seventy-two million, six hundred twenty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1171461671 2342923342 3514385013 4685846684 7028770026 10543155039 14057540052 21086310078 42172620156