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155136199680 = 210325711231901
BaseRepresentation
bin1001000001111011010…
…1101000110000000000
3112211102201010111021100
42100132311220300000
510020204331342210
6155134003054400
714131263640230
oct2203665506000
9484381114240
10155136199680
115a87a381a80
1226096971400
13118246b7677
147719987cc0
15407e98b5c0
hex241ed68c00

155136199680 has 1056 divisors, whose sum is σ = 699689622528. Its totient is φ = 30818304000.

The previous prime is 155136199661. The next prime is 155136199697. The reversal of 155136199680 is 86991631551.

155136199680 is a `hidden beast` number, since 1 + 5 + 5 + 13 + 619 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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, 81606730 + ... + 81608630.

Almost surely, 2155136199680 is an apocalyptic number.

155136199680 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 155136199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349844811264).

155136199680 is an abundant number, since it is smaller than the sum of its proper divisors (544553422848).

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

155136199680 is a wasteful number, since it uses less digits than its factorization.

155136199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 155136199680 in words is "one hundred fifty-five billion, one hundred thirty-six million, one hundred ninety-nine thousand, six hundred eighty".