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20301574104 = 23337374153167
BaseRepresentation
bin10010111010000100…
…010110111111011000
31221101211222211011000
4102322010112333120
5313034200332404
613154301105000
71316043350460
oct227204267730
957354884130
1020301574104
118678789119
123b26b58160
131bb7007056
14da8388ba0
157dc48b339
hex4ba116fd8

20301574104 has 512 divisors, whose sum is σ = 69498777600. Its totient is φ = 5369794560.

The previous prime is 20301574103. The next prime is 20301574121. The reversal of 20301574104 is 40147510302.

It is a super-2 number, since 2×203015741042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301574103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121566229 + ... + 121566395.

It is an arithmetic number, because the mean of its divisors is an integer number (135739800).

Almost surely, 220301574104 is an apocalyptic number.

20301574104 is a gapful number since it is divisible by the number (24) 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 20301574104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34749388800).

20301574104 is an abundant number, since it is smaller than the sum of its proper divisors (49197203496).

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

20301574104 is a wasteful number, since it uses less digits than its factorization.

20301574104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20301574104 in words is "twenty billion, three hundred one million, five hundred seventy-four thousand, one hundred four".