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149647426560 = 21033567107151
BaseRepresentation
bin1000101101011110101…
…1101000010000000000
3112022021012000221001000
42023113223220100000
54422434220122220
6152425211412000
713545255065232
oct2132753502000
9468235027030
10149647426560
1158513086545
1225004754000
131115b504b18
147358a14252
153d5cb88390
hex22d7ae8400

149647426560 has 704 divisors, whose sum is σ = 548409968640. Its totient is φ = 38685081600.

The previous prime is 149647426547. The next prime is 149647426567. The reversal of 149647426560 is 65624746941.

149647426560 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 4 + 74 + 2 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 149647426497 and 149647426506.

It is not an unprimeable number, because it can be changed into a prime (149647426567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 991042485 + ... + 991042635.

Almost surely, 2149647426560 is an apocalyptic number.

149647426560 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 149647426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274204984320).

149647426560 is an abundant number, since it is smaller than the sum of its proper divisors (398762542080).

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

149647426560 is a wasteful number, since it uses less digits than its factorization.

149647426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 149647426560 in words is "one hundred forty-nine billion, six hundred forty-seven million, four hundred twenty-six thousand, five hundred sixty".