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676963381248 = 21235711373
BaseRepresentation
bin10011101100111100010…
…10010111000000000000
32101201100202000220200000
421312132022113000000
542042410111144443
61234554230400000
766623532540510
oct11663612270000
92351322026600
10676963381248
1124110a1a9000
12ab249800000
134bab692929b
1424a9da03840
15129219628d3
hex9d9e297000

676963381248 has 1248 divisors, whose sum is σ = 2584051072512. Its totient is φ = 173425950720.

The previous prime is 676963381231. The next prime is 676963381271. The reversal of 676963381248 is 842183369676.

676963381248 is a `hidden beast` number, since 6 + 7 + 6 + 9 + 6 + 3 + 381 + 248 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (62705664) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9273470940 + ... + 9273471012.

It is an arithmetic number, because the mean of its divisors is an integer number (2070553744).

Almost surely, 2676963381248 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 676963381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292025536256).

676963381248 is an abundant number, since it is smaller than the sum of its proper divisors (1907087691264).

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

676963381248 is an frugal number, since it uses more digits than its factorization.

676963381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 96 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 676963381248 in words is "six hundred seventy-six billion, nine hundred sixty-three million, three hundred eighty-one thousand, two hundred forty-eight".