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20274171008 = 2772131923569
BaseRepresentation
bin10010111000011011…
…110100110010000000
31221022221102121011112
4102320123310302000
5313010141433013
613151441502452
71315261416200
oct227033646200
957287377145
1020274171008
118664271833
123b19941a28
131bb14310c0
14da4894400
157d9d76ba8
hex4b86f4c80

20274171008 has 384 divisors, whose sum is σ = 55674864000. Its totient is φ = 7255277568.

The previous prime is 20274170963. The next prime is 20274171023. The reversal of 20274171008 is 80017147202.

It is a happy number.

It is a super-2 number, since 2×202741710082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35630948 + ... + 35631516.

It is an arithmetic number, because the mean of its divisors is an integer number (144986625).

Almost surely, 220274171008 is an apocalyptic number.

20274171008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20274171008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27837432000).

20274171008 is an abundant number, since it is smaller than the sum of its proper divisors (35400692992).

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

20274171008 is a wasteful number, since it uses less digits than its factorization.

20274171008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 20274171008 in words is "twenty billion, two hundred seventy-four million, one hundred seventy-one thousand, eight".