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674769967476 = 22311173773163683
BaseRepresentation
bin10011101000110110110…
…11001001100101110100
32101111200212201221121220
421310123123021211310
542023412102424401
61233552434110340
766515300042253
oct11643333114564
92344625657556
10674769967476
11240194067850
12aa93711b3b0
134b827392707
142493259c79a
15128440e7336
hex9d1b6c9974

674769967476 has 384 divisors, whose sum is σ = 1907774539776. Its totient is φ = 183279697920.

The previous prime is 674769967453. The next prime is 674769967507.

674769967476 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×6747699674763 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 987949831 + ... + 987950513.

It is an arithmetic number, because the mean of its divisors is an integer number (4968162864).

Almost surely, 2674769967476 is an apocalyptic number.

674769967476 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 674769967476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953887269888).

674769967476 is an abundant number, since it is smaller than the sum of its proper divisors (1233004572300).

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

674769967476 is a wasteful number, since it uses less digits than its factorization.

674769967476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 989 counting only the distinct ones).

The product of its digits is 4032758016, while the sum is 78.

The spelling of 674769967476 in words is "six hundred seventy-four billion, seven hundred sixty-nine million, nine hundred sixty-seven thousand, four hundred seventy-six".