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3097292470272 = 211337112135087
BaseRepresentation
bin101101000100100101000…
…001000111100000000000
3101222002122122012212011000
4231010211001013200000
5401221223333022042
610330513154452000
7436525536415650
oct55044501074000
911862578185130
103097292470272
11a94610942700
12420338b94000
131960c541a840
14a9ca4524360
155587ae0c74c
hex2d125047800

3097292470272 has 1152 divisors, whose sum is σ = 12414540902400. Its totient is φ = 742461603840.

The previous prime is 3097292470247. The next prime is 3097292470277. The reversal of 3097292470272 is 2720742927903.

3097292470272 is a `hidden beast` number, since 30 + 9 + 72 + 9 + 2 + 470 + 2 + 72 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3097292470277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608861713 + ... + 608866799.

It is an arithmetic number, because the mean of its divisors is an integer number (10776511200).

Almost surely, 23097292470272 is an apocalyptic number.

3097292470272 is a gapful number since it is divisible by the number (32) 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 3097292470272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207270451200).

3097292470272 is an abundant number, since it is smaller than the sum of its proper divisors (9317248432128).

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

3097292470272 is a wasteful number, since it uses less digits than its factorization.

3097292470272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 3097292470272 in words is "three trillion, ninety-seven billion, two hundred ninety-two million, four hundred seventy thousand, two hundred seventy-two".