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133870796987796 = 223211172318125119031
BaseRepresentation
bin11110011100000100111001…
…010011001101110110010100
3122112222220221000102220210200
4132130010321103031312110
5120021314343012102141
61152415221203020500
740124563101220041
oct3634047123156624
9575886830386720
10133870796987796
1139723316993470
121302108306a730
135990c67645bbb
14250b549c161c8
15107244766eab6
hex79c1394cdd94

133870796987796 has 576 divisors, whose sum is σ = 411777623642112. Its totient is φ = 36172224000000.

The previous prime is 133870796987789. The next prime is 133870796987801. The reversal of 133870796987796 is 697789697078331.

133870796987796 is a `hidden beast` number, since 1 + 3 + 387 + 0 + 7 + 9 + 69 + 87 + 7 + 96 = 666.

It is a super-2 number, since 2×1338707969877962 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7034344801 + ... + 7034363831.

It is an arithmetic number, because the mean of its divisors is an integer number (714891707712).

Almost surely, 2133870796987796 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 133870796987796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205888811821056).

133870796987796 is an abundant number, since it is smaller than the sum of its proper divisors (277906826654316).

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

133870796987796 is a wasteful number, since it uses less digits than its factorization.

133870796987796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19524 (or 19519 counting only the distinct ones).

The product of its (nonzero) digits is 36294822144, while the sum is 90.

The spelling of 133870796987796 in words is "one hundred thirty-three trillion, eight hundred seventy billion, seven hundred ninety-six million, nine hundred eighty-seven thousand, seven hundred ninety-six".