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20119639680 = 273357473539
BaseRepresentation
bin10010101111001110…
…010101011010000000
31220221011122121001000
4102233032111122000
5312201111432210
613124241412000
71311404054430
oct225716253200
956834577030
1020119639680
118595015098
123a9603a000
131b8840684a
14d8c14a2c0
157cb4eeac0
hex4af395680

20119639680 has 512 divisors, whose sum is σ = 83192832000. Its totient is φ = 4499656704.

The previous prime is 20119639667. The next prime is 20119639693. The reversal of 20119639680 is 8693691102.

It is a happy number.

20119639680 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 9 + 639 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20119639667) and next prime (20119639693).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5683351 + ... + 5686889.

It is an arithmetic number, because the mean of its divisors is an integer number (162486000).

Almost surely, 220119639680 is an apocalyptic number.

20119639680 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 20119639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41596416000).

20119639680 is an abundant number, since it is smaller than the sum of its proper divisors (63073192320).

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

20119639680 is a wasteful number, since it uses less digits than its factorization.

20119639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 20119639680 in words is "twenty billion, one hundred nineteen million, six hundred thirty-nine thousand, six hundred eighty".