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133930632192 = 21037237139173
BaseRepresentation
bin111110010111011100…
…0110100010000000000
3110210200212010001022220
41330232320310100000
54143242220212232
6141305450131040
712450632406300
oct1745670642000
9423625101286
10133930632192
1151888394295
1221b59120a80
13c8253193b6
1466a7523600
15373ce8542c
hex1f2ee34400

133930632192 has 528 divisors, whose sum is σ = 432029666880. Its totient is φ = 36750163968.

The previous prime is 133930632191. The next prime is 133930632197. The reversal of 133930632192 is 291236039331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (133930632191) 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, 774165418 + ... + 774165590.

Almost surely, 2133930632192 is an apocalyptic number.

133930632192 is a gapful number since it is divisible by the number (12) 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 133930632192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216014833440).

133930632192 is an abundant number, since it is smaller than the sum of its proper divisors (298099034688).

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

133930632192 is a wasteful number, since it uses less digits than its factorization.

133930632192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 42.

The spelling of 133930632192 in words is "one hundred thirty-three billion, nine hundred thirty million, six hundred thirty-two thousand, one hundred ninety-two".