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4268745300 = 2235233742223
BaseRepresentation
bin1111111001101111…
…1110001001010100
3102000111101201200210
43332123332021110
532220244322200
61543330005420
7210532510401
oct37633761124
912014351623
104268745300
1118a0660586
129b1716870
135304c83c1
142c6d0d2a8
1519eb5d650
hexfe6fe254

4268745300 has 72 divisors (see below), whose sum is σ = 12387846016. Its totient is φ = 1134927360.

The previous prime is 4268745293. The next prime is 4268745307. The reversal of 4268745300 is 35478624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4268745293) and next prime (4268745307).

It is a super-3 number, since 3×42687453003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268745307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79989 + ... + 122211.

Almost surely, 24268745300 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 4268745300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193923008).

4268745300 is an abundant number, since it is smaller than the sum of its proper divisors (8119100716).

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

4268745300 is a wasteful number, since it uses less digits than its factorization.

4268745300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42577 (or 42570 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 4268745300 is about 65335.6357587496. The cubic root of 4268745300 is about 1622.1838783046.

The spelling of 4268745300 in words is "four billion, two hundred sixty-eight million, seven hundred forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 337 674 1011 1348 1685 2022 3370 4044 5055 6740 8425 10110 16850 20220 25275 33700 42223 50550 84446 101100 126669 168892 211115 253338 422230 506676 633345 844460 1055575 1266690 2111150 2533380 3166725 4222300 6333450 12666900 14229151 28458302 42687453 56916604 71145755 85374906 142291510 170749812 213437265 284583020 355728775 426874530 711457550 853749060 1067186325 1422915100 2134372650 4268745300