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39661228152 = 23347132329243
BaseRepresentation
bin100100111011111111…
…100101000001111000
310210101001121010220000
4210323333211001320
51122211233300102
630115313433000
72602561606530
oct447377450170
9123331533800
1039661228152
1115902802807
12782a56b760
133980b2ac50
141cc35c44c0
151071dba01c
hex93bfe5078

39661228152 has 320 divisors, whose sum is σ = 142673287680. Its totient is φ = 10004974848.

The previous prime is 39661228151. The next prime is 39661228171. The reversal of 39661228152 is 25182216693.

39661228152 is a `hidden beast` number, since 3 + 9 + 6 + 612 + 28 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 39661228098 and 39661228107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39661228151) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1341643 + ... + 1370885.

It is an arithmetic number, because the mean of its divisors is an integer number (445854024).

Almost surely, 239661228152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39661228152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71336643840).

39661228152 is an abundant number, since it is smaller than the sum of its proper divisors (103012059528).

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

39661228152 is a wasteful number, since it uses less digits than its factorization.

39661228152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29304 (or 29291 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 39661228152 in words is "thirty-nine billion, six hundred sixty-one million, two hundred twenty-eight thousand, one hundred fifty-two".