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32830130736 = 2434134147527
BaseRepresentation
bin11110100100110101…
…000000101000110000
310010201222200102220000
4132210311000220300
51014214003140421
623025411350000
72241363335604
oct364465005060
9103658612800
1032830130736
1112a17831157
1264428b2300
133132811980
141836273504
15cc2316226
hex7a4d40a30

32830130736 has 200 divisors, whose sum is σ = 104827186464. Its totient is φ = 9854991360.

The previous prime is 32830130689. The next prime is 32830130797. The reversal of 32830130736 is 63703103823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32830130736.

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, 667005 + ... + 714531.

Almost surely, 232830130736 is an apocalyptic number.

32830130736 is a gapful number since it is divisible by the number (36) 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 32830130736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52413593232).

32830130736 is an abundant number, since it is smaller than the sum of its proper divisors (71997055728).

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

32830130736 is a wasteful number, since it uses less digits than its factorization.

32830130736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47601 (or 47586 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 32830130736 in words is "thirty-two billion, eight hundred thirty million, one hundred thirty thousand, seven hundred thirty-six".