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1996331242752 = 2833711219131137
BaseRepresentation
bin11101000011001110100…
…111010101010100000000
321001211212202102200011000
4131003032213111110000
5230201441244232002
64125034002452000
7264141643403550
oct35031647252400
97054782380130
101996331242752
116aa703a40200
12282a9b364000
1311633a45c2b2
146c8a1523160
1536de0d8861c
hex1d0ce9d5500

1996331242752 has 1728 divisors, whose sum is σ = 7923289651200. Its totient is φ = 483928473600.

The previous prime is 1996331242739. The next prime is 1996331242891. The reversal of 1996331242752 is 2572421336991.

It is a happy number.

1996331242752 is a `hidden beast` number, since 19 + 9 + 6 + 331 + 24 + 275 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 14571760828 + ... + 14571760964.

Almost surely, 21996331242752 is an apocalyptic number.

1996331242752 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 1996331242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961644825600).

1996331242752 is an abundant number, since it is smaller than the sum of its proper divisors (5926958408448).

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

1996331242752 is a wasteful number, since it uses less digits than its factorization.

1996331242752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 310 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 1996331242752 in words is "one trillion, nine hundred ninety-six billion, three hundred thirty-one million, two hundred forty-two thousand, seven hundred fifty-two".