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19679028520 = 2358924122937
BaseRepresentation
bin10010010100111101…
…100010010100101000
31212210110120020011011
4102110331202110220
5310300312403040
613012421513304
71264443660664
oct222475422450
955713506134
1019679028520
118389331438
123992572834
131b18046498
14d498138a4
157a29b83ea
hex494f62528

19679028520 has 64 divisors (see below), whose sum is σ = 44963067600. Its totient is φ = 7750533120.

The previous prime is 19679028511. The next prime is 19679028529. The reversal of 19679028520 is 2582097691.

It is an interprime number because it is at equal distance from previous prime (19679028511) and next prime (19679028529).

It can be written as a sum of positive squares in 8 ways, for example, as 5335133764 + 14343894756 = 73042^2 + 119766^2 .

It is not an unprimeable number, because it can be changed into a prime (19679028529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846492 + ... + 869428.

Almost surely, 219679028520 is an apocalyptic number.

19679028520 is a gapful number since it is divisible by the number (10) 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 19679028520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22481533800).

19679028520 is an abundant number, since it is smaller than the sum of its proper divisors (25284039080).

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

19679028520 is a wasteful number, since it uses less digits than its factorization.

19679028520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23278 (or 23274 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 19679028520 in words is "nineteen billion, six hundred seventy-nine million, twenty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 241 356 445 482 712 890 964 1205 1780 1928 2410 3560 4820 9640 21449 22937 42898 45874 85796 91748 107245 114685 171592 183496 214490 229370 428980 458740 857960 917480 2041393 4082786 5527817 8165572 10206965 11055634 16331144 20413930 22111268 27639085 40827860 44222536 55278170 81655720 110556340 221112680 491975713 983951426 1967902852 2459878565 3935805704 4919757130 9839514260 19679028520