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5638073000 = 235374717137
BaseRepresentation
bin1010100000000111…
…00010101010101000
3112112221000210011112
411100003202222220
543021321314000
62331243245452
7256500554420
oct52003425250
915487023145
105638073000
1124335aa76a
121114219888
136bb0c7b91
143b6b19480
1522ee95235
hex1500e2aa8

5638073000 has 128 divisors (see below), whose sum is σ = 15399521280. Its totient is φ = 1891814400.

The previous prime is 5638072991. The next prime is 5638073039. The reversal of 5638073000 is 3708365.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320432 + ... + 337568.

It is an arithmetic number, because the mean of its divisors is an integer number (120308760).

Almost surely, 25638073000 is an apocalyptic number.

5638073000 is a gapful number since it is divisible by the number (50) 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 5638073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699760640).

5638073000 is an abundant number, since it is smaller than the sum of its proper divisors (9761448280).

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

5638073000 is a wasteful number, since it uses less digits than its factorization.

5638073000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17212 (or 17198 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 5638073000 is about 75087.1027540682. The cubic root of 5638073000 is about 1779.8233423132.

The spelling of 5638073000 in words is "five billion, six hundred thirty-eight million, seventy-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 125 140 175 188 200 235 250 280 329 350 376 470 500 658 700 875 940 1000 1175 1316 1400 1645 1750 1880 2350 2632 3290 3500 4700 5875 6580 7000 8225 9400 11750 13160 16450 17137 23500 32900 34274 41125 47000 65800 68548 82250 85685 119959 137096 164500 171370 239918 329000 342740 428425 479836 599795 685480 805439 856850 959672 1199590 1610878 1713700 2142125 2399180 2998975 3221756 3427400 4027195 4284250 4798360 5638073 5997950 6443512 8054390 8568500 11276146 11995900 14994875 16108780 17137000 20135975 22552292 23991800 28190365 29989750 32217560 40271950 45104584 56380730 59979500 80543900 100679875 112761460 119959000 140951825 161087800 201359750 225522920 281903650 402719500 563807300 704759125 805439000 1127614600 1409518250 2819036500 5638073000