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133052839976 = 2373191184131
BaseRepresentation
bin111101111101010010…
…0010011100000101000
3110201102200101120210002
41323322210103200220
54134443011334401
6141042412042132
712420113323310
oct1737244234050
9421380346702
10133052839976
115147794aa81
1221953163348
13c7154ca014
146622b08440
1536dad93a6b
hex1efa913828

133052839976 has 64 divisors (see below), whose sum is σ = 294636994560. Its totient is φ = 55121976000.

The previous prime is 133052839901. The next prime is 133052839991. The reversal of 133052839976 is 679938250331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539431 + ... + 1623561.

It is an arithmetic number, because the mean of its divisors is an integer number (4603703040).

Almost surely, 2133052839976 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 133052839976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147318497280).

133052839976 is an abundant number, since it is smaller than the sum of its proper divisors (161584154584).

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

133052839976 is a wasteful number, since it uses less digits than its factorization.

133052839976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85086 (or 85082 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 56.

The spelling of 133052839976 in words is "one hundred thirty-three billion, fifty-two million, eight hundred thirty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 911 1736 1822 3644 6377 7288 12754 25508 28241 51016 56482 84131 112964 168262 197687 225928 336524 395374 588917 673048 790748 1177834 1581496 2355668 2608061 4711336 5216122 10432244 18256427 20864488 36512854 73025708 76643341 146051416 153286682 306573364 536503387 613146728 1073006774 2146013548 2375943571 4292027096 4751887142 9503774284 16631604997 19007548568 33263209994 66526419988 133052839976