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20148706500 = 22353135983211
BaseRepresentation
bin10010110000111101…
…001101110011000100
31221000012100100012220
4102300331031303010
5312231032102000
613131200412340
71312206115356
oct226075156304
957005310186
1020148706500
1185aa46845a
123aa39170b0
131b91442b50
14d91d550d6
157cdd421a0
hex4b0f4dcc4

20148706500 has 384 divisors, whose sum is σ = 65339688960. Its totient is φ = 4794048000.

The previous prime is 20148706477. The next prime is 20148706603. The reversal of 20148706500 is 560784102.

It is a super-3 number, since 3×201487065003 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95491395 + ... + 95491605.

It is an arithmetic number, because the mean of its divisors is an integer number (170155440).

Almost surely, 220148706500 is an apocalyptic number.

20148706500 is a gapful number since it is divisible by the number (20) 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 20148706500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32669844480).

20148706500 is an abundant number, since it is smaller than the sum of its proper divisors (45190982460).

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

20148706500 is a wasteful number, since it uses less digits than its factorization.

20148706500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 20148706500 in words is "twenty billion, one hundred forty-eight million, seven hundred six thousand, five hundred".