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149217502896 = 243271119708293
BaseRepresentation
bin1000101011111000001…
…1100110011010110000
3112021011020001112122100
42022332003212122300
54421044140043041
6152314412540400
713531514563410
oct2127603463260
9467136045570
10149217502896
1158312432530
1224b04781700
13110c0417217
1473178a0640
153d350636b6
hex22be0e66b0

149217502896 has 240 divisors, whose sum is σ = 548049565440. Its totient is φ = 36717857280.

The previous prime is 149217502867. The next prime is 149217502897. The reversal of 149217502896 is 698205712941.

It is a happy number.

149217502896 is a `hidden beast` number, since 1 + 49 + 2 + 1 + 7 + 502 + 8 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (149217502897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143475 + ... + 564818.

It is an arithmetic number, because the mean of its divisors is an integer number (2283539856).

Almost surely, 2149217502896 is an apocalyptic number.

149217502896 is a gapful number since it is divisible by the number (16) 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 149217502896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274024782720).

149217502896 is an abundant number, since it is smaller than the sum of its proper divisors (398832062544).

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

149217502896 is a wasteful number, since it uses less digits than its factorization.

149217502896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708344 (or 708335 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 149217502896 in words is "one hundred forty-nine billion, two hundred seventeen million, five hundred two thousand, eight hundred ninety-six".