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4297334985216 = 2935721324397
BaseRepresentation
bin111110100010001101001…
…000000001001000000000
3120012211011122220221200000
4332202031020001020000
51030401420224011331
613050100214400000
7622320652453200
oct76421510011000
916184148827600
104297334985216
111407542627909
12594a28960000
1325231076ca00
1410bdc6558400
1576bb46e50e6
hex3e88d201200

4297334985216 has 2160 divisors, whose sum is σ = 16748723575584. Its totient is φ = 1095593361408.

The previous prime is 4297334985197. The next prime is 4297334985247. The reversal of 4297334985216 is 6125894337924.

4297334985216 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 334 + 9 + 85 + 216 = 666.

It is a super-2 number, since 2×42973349852162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 44302422480 + ... + 44302422576.

Almost surely, 24297334985216 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 4297334985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374361787792).

4297334985216 is an abundant number, since it is smaller than the sum of its proper divisors (12451388590368).

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

4297334985216 is an equidigital number, since it uses as much as digits as its factorization.

4297334985216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 165 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 4297334985216 in words is "four trillion, two hundred ninety-seven billion, three hundred thirty-four million, nine hundred eighty-five thousand, two hundred sixteen".