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1992951164160 = 2837511611061
BaseRepresentation
bin11101000000000101001…
…001010110110100000000
321001112011012012220000000
4131000011021112310000
5230123030444223120
64123314340000000
7263662121250165
oct35000511266400
97045135186000
101992951164160
116a9229a81120
122822b7390000
13115c1c0bcba8
146c66066006c
1536c94268990
hex1d005256d00

1992951164160 has 1152 divisors, whose sum is σ = 7945906429440. Its totient is φ = 474771456000.

The previous prime is 1992951164143. The next prime is 1992951164201. The reversal of 1992951164160 is 614611592991.

1992951164160 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 9 + 511 + 64 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×19929511641603 (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1992951164097 and 1992951164106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1878370030 + ... + 1878371090.

It is an arithmetic number, because the mean of its divisors is an integer number (6897488220).

Almost surely, 21992951164160 is an apocalyptic number.

1992951164160 is a gapful number since it is divisible by the number (10) 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 1992951164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972953214720).

1992951164160 is an abundant number, since it is smaller than the sum of its proper divisors (5952955265280).

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

1992951164160 is an equidigital number, since it uses as much as digits as its factorization.

1992951164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 1992951164160 in words is "one trillion, nine hundred ninety-two billion, nine hundred fifty-one million, one hundred sixty-four thousand, one hundred sixty".