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154796113920 = 214357176779
BaseRepresentation
bin1001000000101010010…
…0010100000000000000
3112210120000012100022110
42100022210110000000
510014010301121140
6155040133535320
714116664154450
oct2201244240000
9483500170273
10154796113920
115a715409568
1226000aa4540
131179c0c2ca6
1476c673bd60
15405ebb0380
hex240a914000

154796113920 has 960 divisors, whose sum is σ = 616040570880. Its totient is φ = 32388415488.

The previous prime is 154796113919. The next prime is 154796113939. The reversal of 154796113920 is 29311697451.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 154796113920.

It is a congruent number.

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, 1959444441 + ... + 1959444519.

It is an arithmetic number, because the mean of its divisors is an integer number (641708928).

Almost surely, 2154796113920 is an apocalyptic number.

154796113920 is a gapful number since it is divisible by the number (10) 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 154796113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308020285440).

154796113920 is an abundant number, since it is smaller than the sum of its proper divisors (461244456960).

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

154796113920 is an equidigital number, since it uses as much as digits as its factorization.

154796113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 154796113920 in words is "one hundred fifty-four billion, seven hundred ninety-six million, one hundred thirteen thousand, nine hundred twenty".