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149568499080 = 2334571113107431
BaseRepresentation
bin1000101101001011111…
…0100010110110001000
3112022001200111222220000
42023102332202312020
54422304013432310
6152413312003000
713543306160040
oct2132276426610
9468050458800
10149568499080
1158482578120
1224ba2230460
131114805b980
14734c34a720
153d55c974c0
hex22d2fa2d88

149568499080 has 1280 divisors, whose sum is σ = 682864680960. Its totient is φ = 28354406400.

The previous prime is 149568499063. The next prime is 149568499099. The reversal of 149568499080 is 80994865941.

149568499080 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 68 + 499 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 149568498999 and 149568499017.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 347026465 + ... + 347026895.

It is an arithmetic number, because the mean of its divisors is an integer number (533488032).

Almost surely, 2149568499080 is an apocalyptic number.

149568499080 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 149568499080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341432340480).

149568499080 is an abundant number, since it is smaller than the sum of its proper divisors (533296181880).

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

149568499080 is a wasteful number, since it uses less digits than its factorization.

149568499080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 149568499080 in words is "one hundred forty-nine billion, five hundred sixty-eight million, four hundred ninety-nine thousand, eighty".