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676348447959456 = 253293733119836797
BaseRepresentation
bin1001100111001000101010010…
…0111111000010100110100000
310021200202021120020100212101220
42121302022210333002212200
51202122243110134200311
610354250104304055040
7262314364022231166
oct23162124477024640
93250667506325356
10676348447959456
11186561847561828
1263a34a3a904480
1323051500a2b63c
14bd03622187236
15532d5967c6206
hex26722a4fc29a0

676348447959456 has 192 divisors, whose sum is σ = 1891973489374080. Its totient is φ = 211152378286080.

The previous prime is 676348447959439. The next prime is 676348447959523. The reversal of 676348447959456 is 654959744843676.

It is a super-2 number, since 2×6763484479594562 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (87).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24177250 + ... + 44014046.

It is an arithmetic number, because the mean of its divisors is an integer number (9854028590490).

Almost surely, 2676348447959456 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 676348447959456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945986744687040).

676348447959456 is an abundant number, since it is smaller than the sum of its proper divisors (1215625041414624).

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

676348447959456 is a wasteful number, since it uses less digits than its factorization.

676348447959456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19837207 (or 19837199 counting only the distinct ones).

The product of its digits is 131681894400, while the sum is 87.

The spelling of 676348447959456 in words is "six hundred seventy-six trillion, three hundred forty-eight billion, four hundred forty-seven million, nine hundred fifty-nine thousand, four hundred fifty-six".