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5129394432 = 28319714951
BaseRepresentation
bin1001100011011110…
…00101100100000000
3111020110212020100120
410301233011210000
541001111110212
62204552420240
7241053063501
oct46157054400
914213766316
105129394432
1121a2455a58
12bb19a7680
136398c4846
14369344ba8
152004b588c
hex131bc5900

5129394432 has 144 divisors (see below), whose sum is σ = 14575518720. Its totient is φ = 1596672000.

The previous prime is 5129394379. The next prime is 5129394437. The reversal of 5129394432 is 2344939215.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5129394437) by changing a digit.

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, 1033557 + ... + 1038507.

It is an arithmetic number, because the mean of its divisors is an integer number (101218880).

Almost surely, 25129394432 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 5129394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287759360).

5129394432 is an abundant number, since it is smaller than the sum of its proper divisors (9446124288).

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

5129394432 is a wasteful number, since it uses less digits than its factorization.

5129394432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5046 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 5129394432 is about 71619.7907843914. The cubic root of 5129394432 is about 1724.6012584768.

The spelling of 5129394432 in words is "five billion, one hundred twenty-nine million, three hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 71 76 96 114 128 142 152 192 213 228 256 284 304 384 426 456 568 608 768 852 912 1136 1216 1349 1704 1824 2272 2432 2698 3408 3648 4047 4544 4864 4951 5396 6816 7296 8094 9088 9902 10792 13632 14592 14853 16188 18176 19804 21584 27264 29706 32376 39608 43168 54528 59412 64752 79216 86336 94069 118824 129504 158432 172672 188138 237648 259008 282207 316864 345344 351521 376276 475296 518016 564414 633728 703042 752552 950592 1036032 1054563 1128828 1267456 1406084 1505104 1901184 2109126 2257656 2812168 3010208 3802368 4218252 4515312 5624336 6020416 6678899 8436504 9030624 11248672 12040832 13357798 16873008 18061248 20036697 22497344 24081664 26715596 33746016 36122496 40073394 44994688 53431192 67492032 72244992 80146788 89989376 106862384 134984064 160293576 213724768 269968128 320587152 427449536 641174304 854899072 1282348608 1709798144 2564697216 5129394432