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2491061683464 = 2336191011032161
BaseRepresentation
bin100100001111111110110…
…110001100010100001000
322211010212101001001000000
4210033332312030110020
5311303143242332324
65144213345043000
7344654554641504
oct44177666142410
98733771031000
102491061683464
118804a9418822
1234294b626460
13150ba194b143
14887d4957304
1544be906a9c9
hex243fed8c508

2491061683464 has 448 divisors, whose sum is σ = 7520221238400. Its totient is φ = 770943744000.

The previous prime is 2491061683457. The next prime is 2491061683477. The reversal of 2491061683464 is 4643861601942.

2491061683464 is a `hidden beast` number, since 2 + 4 + 9 + 10 + 6 + 168 + 3 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2491061683464.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1152734544 + ... + 1152736704.

Almost surely, 22491061683464 is an apocalyptic number.

2491061683464 is a gapful number since it is divisible by the number (24) 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 2491061683464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760110619200).

2491061683464 is an abundant number, since it is smaller than the sum of its proper divisors (5029159554936).

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

2491061683464 is a wasteful number, since it uses less digits than its factorization.

2491061683464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2491061683464 in words is "two trillion, four hundred ninety-one billion, sixty-one million, six hundred eighty-three thousand, four hundred sixty-four".