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5152158090 = 234543532791
BaseRepresentation
bin1001100110001011…
…11011000110001010
3111022001200202020000
410303011323012022
541022423024330
62211124343430
7241450423032
oct46305730612
914261622200
105152158090
1122042936a2
12bb9544b76
13641534b71
1436c38c8c2
152024b0560
hex13317b18a

5152158090 has 160 divisors (see below), whose sum is σ = 14448398976. Its totient is φ = 1316165760.

The previous prime is 5152158083. The next prime is 5152158101. The reversal of 5152158090 is 908512515.

It is a happy number.

5152158090 is a `hidden beast` number, since 51 + 5 + 21 + 580 + 9 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1844595 + ... + 1847385.

Almost surely, 25152158090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5152158090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224199488).

5152158090 is an abundant number, since it is smaller than the sum of its proper divisors (9296240886).

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

5152158090 is a wasteful number, since it uses less digits than its factorization.

5152158090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 5152158090 is about 71778.5350226654. The cubic root of 5152158090 is about 1727.1486872892.

The spelling of 5152158090 in words is "five billion, one hundred fifty-two million, one hundred fifty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 53 54 81 86 90 106 129 135 159 162 215 258 265 270 318 387 405 430 477 530 645 774 795 810 954 1161 1290 1431 1590 1935 2279 2322 2385 2791 2862 3483 3870 4293 4558 4770 5582 5805 6837 6966 7155 8373 8586 11395 11610 13674 13955 14310 16746 17415 20511 21465 22790 25119 27910 34185 34830 41022 41865 42930 50238 61533 68370 75357 83730 102555 120013 123066 125595 147923 150714 184599 205110 226071 240026 251190 295846 307665 360039 369198 376785 443769 452142 600065 615330 720078 739615 753570 887538 922995 1080117 1130355 1200130 1331307 1479230 1800195 1845990 2160234 2218845 2260710 2662614 3240351 3600390 3993921 4437690 5400585 6360689 6480702 6656535 7987842 9721053 10801170 11981763 12721378 13313070 16201755 19082067 19442106 19969605 23963526 31803445 32403510 38164134 39939210 48605265 57246201 59908815 63606890 95410335 97210530 114492402 119817630 171738603 190820670 286231005 343477206 515215809 572462010 858693015 1030431618 1717386030 2576079045 5152158090