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68421247082496 = 21332711113106657
BaseRepresentation
bin11111000111010100100000…
…01000001010000000000000
322222021000012100110220122200
433203222100020022000000
532432003203223114441
6401304141553233200
720261162200164630
oct1743522010120000
9288230170426580
1068421247082496
111a88a319270250
1278105b5262800
132c24132956239
1412c786ad286c0
157d9bd88b87b6
hex3e3a9020a000

68421247082496 has 672 divisors, whose sum is σ = 248602964807808. Its totient is φ = 17614315192320.

The previous prime is 68421247082449. The next prime is 68421247082563. The reversal of 68421247082496 is 69428074212486.

It is a happy number.

68421247082496 is a `hidden beast` number, since 6 + 8 + 4 + 21 + 2 + 47 + 0 + 82 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641454000 + ... + 641560656.

Almost surely, 268421247082496 is an apocalyptic number.

68421247082496 is a gapful number since it is divisible by the number (66) 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 68421247082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124301482403904).

68421247082496 is an abundant number, since it is smaller than the sum of its proper divisors (180181717725312).

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

68421247082496 is a wasteful number, since it uses less digits than its factorization.

68421247082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106820 (or 106793 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 68421247082496 in words is "sixty-eight trillion, four hundred twenty-one billion, two hundred forty-seven million, eighty-two thousand, four hundred ninety-six".