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675103820900 = 225229232794421
BaseRepresentation
bin10011101001011110101…
…00101100110001100100
32101112120010221110102112
421310233110230301210
542030103034232100
61234045521500152
766526462536665
oct11645724546144
92345503843375
10675103820900
11240345563873
12aaa0aaa1658
134b87b5b4412
1424964a6536c
1512863591b35
hex9d2f52cc64

675103820900 has 36 divisors (see below), whose sum is σ = 1515491687220. Its totient is φ = 260729750400.

The previous prime is 675103820899. The next prime is 675103820903. The reversal of 675103820900 is 9028301576.

675103820900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10370163556 + 664733657344 = 101834^2 + 815312^2 .

It is not an unprimeable number, because it can be changed into a prime (675103820903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116394311 + ... + 116400110.

Almost surely, 2675103820900 is an apocalyptic number.

It is an amenable number.

675103820900 is an abundant number, since it is smaller than the sum of its proper divisors (840387866320).

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

675103820900 is a wasteful number, since it uses less digits than its factorization.

675103820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232794464 (or 232794457 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 675103820900 in words is "six hundred seventy-five billion, one hundred three million, eight hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 232794421 465588842 931177684 1163972105 2327944210 4655888420 5819860525 6751038209 11639721050 13502076418 23279442100 27004152836 33755191045 67510382090 135020764180 168775955225 337551910450 675103820900