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19955874150 = 23352173771331
BaseRepresentation
bin10010100101011101…
…100111100101100110
31220111202111102222000
4102211131213211212
5311332200433100
613100111350130
71304345063052
oct224535474546
956452442860
1019955874150
118510630683
123a4b222346
131b604c8174
14d744bac62
157bbe51900
hex4a5767966

19955874150 has 384 divisors, whose sum is σ = 60823249920. Its totient is φ = 4790016000.

The previous prime is 19955874091. The next prime is 19955874151. The reversal of 19955874150 is 5147855991.

It is a happy number.

19955874150 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 587 + 4 + 1 + 50 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19955874151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60289485 + ... + 60289815.

It is an arithmetic number, because the mean of its divisors is an integer number (158393880).

Almost surely, 219955874150 is an apocalyptic number.

19955874150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19955874150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30411624960).

19955874150 is an abundant number, since it is smaller than the sum of its proper divisors (40867375770).

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

19955874150 is a wasteful number, since it uses less digits than its factorization.

19955874150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 19955874150 in words is "nineteen billion, nine hundred fifty-five million, eight hundred seventy-four thousand, one hundred fifty".