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5150510352 = 24321310127241
BaseRepresentation
bin1001100101111111…
…01000110100010000
3111021221121000221200
410302333220310100
541022012312402
62211025151200
7241430421111
oct46277506420
914257530850
105150510352
112203368729
12bb8a8b500
136410a8b80
1436c080208
1520228721c
hex132fe8d10

5150510352 has 120 divisors (see below), whose sum is σ = 15677335128. Its totient is φ = 1569024000.

The previous prime is 5150510263. The next prime is 5150510381. The reversal of 5150510352 is 2530150515.

5150510352 is a `hidden beast` number, since 5 + 1 + 505 + 103 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2952400896 + 2198109456 = 54336^2 + 46884^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175452 + ... + 202692.

Almost surely, 25150510352 is an apocalyptic number.

5150510352 is a gapful number since it is divisible by the number (52) 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 5150510352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838667564).

5150510352 is an abundant number, since it is smaller than the sum of its proper divisors (10526824776).

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

5150510352 is a wasteful number, since it uses less digits than its factorization.

5150510352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27369 (or 27360 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 5150510352 is about 71767.0561748216. The cubic root of 5150510352 is about 1726.9645449088.

Adding to 5150510352 its reverse (2530150515), we get a palindrome (7680660867).

The spelling of 5150510352 in words is "five billion, one hundred fifty million, five hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 101 104 117 144 156 202 208 234 303 312 404 468 606 624 808 909 936 1212 1313 1616 1818 1872 2424 2626 3636 3939 4848 5252 7272 7878 10504 11817 14544 15756 21008 23634 27241 31512 47268 54482 63024 81723 94536 108964 163446 189072 217928 245169 326892 354133 435856 490338 653784 708266 980676 1062399 1307568 1416532 1961352 2124798 2751341 2833064 3187197 3922704 4249596 5502682 5666128 6374394 8254023 8499192 11005364 12748788 16508046 16998384 22010728 24762069 25497576 33016092 35767433 44021456 49524138 50995152 66032184 71534866 99048276 107302299 132064368 143069732 198096552 214604598 286139464 321906897 396193104 429209196 572278928 643813794 858418392 1287627588 1716836784 2575255176 5150510352