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149425572960 = 2534519606829
BaseRepresentation
bin1000101100101001110…
…1010100110001100000
3112021200201120121010000
42023022131110301200
54422010421313320
6152351204340000
713536622261566
oct2131235246140
9467621517100
10149425572960
1158409927664
1224b623a4600
13111245687c1
147337383a36
153d48463c90
hex22ca754c60

149425572960 has 240 divisors, whose sum is σ = 555103810800. Its totient is φ = 37749556224.

The previous prime is 149425572953. The next prime is 149425573001. The reversal of 149425572960 is 69275524941.

It is a happy number.

149425572960 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 2 + 5 + 572 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 149425572897 and 149425572906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57175 + ... + 549654.

It is an arithmetic number, because the mean of its divisors is an integer number (2312932545).

Almost surely, 2149425572960 is an apocalyptic number.

149425572960 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 149425572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277551905400).

149425572960 is an abundant number, since it is smaller than the sum of its proper divisors (405678237840).

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

149425572960 is a wasteful number, since it uses less digits than its factorization.

149425572960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606875 (or 606858 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 149425572960 in words is "one hundred forty-nine billion, four hundred twenty-five million, five hundred seventy-two thousand, nine hundred sixty".