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149745672538560 = 2632572192329313773
BaseRepresentation
bin100010000011000101100001…
…100111100100100111000000
3201122012112202101111010012200
4202003011201213210213000
5124111413114132213220
61250252113503553200
743353524235044100
oct4203054147444700
9648175671433180
10149745672538560
11437938683171aa
121496586a8bb800
136572c58094167
1428d9a2cdb3200
15124a366759890
hex8831619e49c0

149745672538560 has 8064 divisors, whose sum is σ = 731645938483200. Its totient is φ = 27811216097280.

The previous prime is 149745672538447. The next prime is 149745672538643. The reversal of 149745672538560 is 65835276547941.

149745672538560 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 4 + 5 + 6 + 7 + 2 + 53 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2051310582684 + ... + 2051310582756.

It is a 1-persistent number, because it is pandigital, but 2⋅149745672538560 = 299491345077120 is not.

Almost surely, 2149745672538560 is an apocalyptic number.

149745672538560 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 149745672538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365822969241600).

149745672538560 is an abundant number, since it is smaller than the sum of its proper divisors (581900265944640).

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

149745672538560 is a wasteful number, since it uses less digits than its factorization.

149745672538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 149745672538560 in words is "one hundred forty-nine trillion, seven hundred forty-five billion, six hundred seventy-two million, five hundred thirty-eight thousand, five hundred sixty".