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8694114968 = 2371155725339
BaseRepresentation
bin10000001100011010…
…11010101010011000
3211102220111210122002
420012031122222120
5120301143134333
63554413020132
7425306520650
oct100615325230
924386453562
108694114968
113761668290
121827784648
13a872a1936
145c694d360
1535d4090e8
hex20635aa98

8694114968 has 64 divisors (see below), whose sum is σ = 20361196800. Its totient is φ = 3381102720.

The previous prime is 8694114929. The next prime is 8694114971.

8694114968 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330443 + ... + 355781.

It is an arithmetic number, because the mean of its divisors is an integer number (318143700).

Almost surely, 28694114968 is an apocalyptic number.

8694114968 is a gapful number since it is divisible by the number (88) 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 8694114968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180598400).

8694114968 is an abundant number, since it is smaller than the sum of its proper divisors (11667081832).

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

8694114968 is a wasteful number, since it uses less digits than its factorization.

8694114968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25920 (or 25916 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 56.

The square root of 8694114968 is about 93242.2381112766. The cubic root of 8694114968 is about 2056.2462642886.

The spelling of 8694114968 in words is "eight billion, six hundred ninety-four million, one hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 557 616 1114 2228 3899 4456 6127 7798 12254 15596 24508 25339 31192 42889 49016 50678 85778 101356 171556 177373 202712 278729 343112 354746 557458 709492 1114916 1418984 1951103 2229832 3902206 7804412 14113823 15608824 28227646 56455292 98796761 112910584 155252053 197593522 310504106 395187044 621008212 790374088 1086764371 1242016424 2173528742 4347057484 8694114968