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5145100728 = 2331771917539
BaseRepresentation
bin1001100101010110…
…00000000110111000
3111021120102012100020
410302223000012320
541014121210403
62210313210440
7241333430445
oct46253000670
914246365306
105145100728
112200303369
12bb7100a20
1363cc33801
1436b4729cc
15201a69453
hex132ac01b8

5145100728 has 64 divisors (see below), whose sum is σ = 13639104000. Its totient is φ = 1611812352.

The previous prime is 5145100699. The next prime is 5145100733. The reversal of 5145100728 is 8270015415.

It is a super-2 number, since 2×51451007282 = 52944123002532259968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284583 + ... + 302121.

It is an arithmetic number, because the mean of its divisors is an integer number (213111000).

Almost surely, 25145100728 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 5145100728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819552000).

5145100728 is an abundant number, since it is smaller than the sum of its proper divisors (8494003272).

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

5145100728 is a wasteful number, since it uses less digits than its factorization.

5145100728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18284 (or 18280 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 5145100728 is about 71729.3575044417. The cubic root of 5145100728 is about 1726.3597180172.

The spelling of 5145100728 in words is "five billion, one hundred forty-five million, one hundred thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 719 1438 2157 2876 4314 5752 8628 12223 17256 17539 24446 35078 36669 48892 52617 70156 73338 97784 105234 140312 146676 210468 293352 298163 420936 596326 894489 1192652 1788978 2385304 3577956 7155912 12610541 25221082 37831623 50442164 75663246 100884328 151326492 214379197 302652984 428758394 643137591 857516788 1286275182 1715033576 2572550364 5145100728