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155161681920 = 213355717131
BaseRepresentation
bin1001000010000001011…
…0110110000000000000
3112211111111002010100000
42100200112312000000
510020232342310140
6155140313200000
714132023351410
oct2204026660000
9484444063300
10155161681920
115a8927a7183
12260a3400000
1311829a6a20b
14771d0dc640
154081d21a30
hex24205b6000

155161681920 has 1344 divisors, whose sum is σ = 680115211776. Its totient is φ = 33124515840.

The previous prime is 155161681889. The next prime is 155161681967. The reversal of 155161681920 is 29186161551.

155161681920 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 616 + 8 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184440255 + ... + 1184440385.

It is an arithmetic number, because the mean of its divisors is an integer number (506038104).

Almost surely, 2155161681920 is an apocalyptic number.

155161681920 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 155161681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340057605888).

155161681920 is an abundant number, since it is smaller than the sum of its proper divisors (524953529856).

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

155161681920 is an equidigital number, since it uses as much as digits as its factorization.

155161681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 155161681920 in words is "one hundred fifty-five billion, one hundred sixty-one million, six hundred eighty-one thousand, nine hundred twenty".