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5000742032 = 24111317831549
BaseRepresentation
bin1001010100001000…
…10100010010010000
3110220111210000102212
410222010110102100
540220142221112
62144115131252
7234631414556
oct45204242220
913814700385
105000742032
112136874560
12b768a3b28
1361905b570
14356215bd6
151e4051522
hex12a114490

5000742032 has 160 divisors (see below), whose sum is σ = 12205468800. Its totient is φ = 1949736960.

The previous prime is 5000742017. The next prime is 5000742059. The reversal of 5000742032 is 2302470005.

It is a super-2 number, since 2×50007420322 = 50014841741222978048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5000741989 and 5000742007.

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, 3227594 + ... + 3229142.

It is an arithmetic number, because the mean of its divisors is an integer number (76284180).

Almost surely, 25000742032 is an apocalyptic number.

5000742032 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 5000742032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102734400).

5000742032 is an abundant number, since it is smaller than the sum of its proper divisors (7204726768).

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

5000742032 is a wasteful number, since it uses less digits than its factorization.

5000742032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 5000742032 is about 70715.9248825892. The cubic root of 5000742032 is about 1710.0605329506.

The spelling of 5000742032 in words is "five billion, seven hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 83 88 104 136 143 166 176 187 208 221 272 286 332 374 442 572 664 748 884 913 1079 1144 1328 1411 1496 1549 1768 1826 2158 2288 2431 2822 2992 3098 3536 3652 4316 4862 5644 6196 7304 8632 9724 11288 11869 12392 14608 15521 17039 17264 18343 19448 20137 22576 23738 24784 26333 31042 34078 36686 38896 40274 47476 52666 62084 68156 73372 80548 94952 105332 124168 128567 136312 146744 161096 189904 201773 210664 221507 248336 257134 272624 289663 293488 322192 342329 403546 421328 443014 514268 579326 684658 807092 886028 1028536 1158652 1369316 1414237 1614184 1671371 1772056 2057072 2185639 2317304 2738632 2828474 3228368 3342742 3544112 3765619 4371278 4634608 5477264 5656948 6685484 7531238 8742556 11313896 13370968 15062476 17485112 18385081 22627792 24042029 26741936 28413307 30124952 34970224 36770162 48084058 56826614 60249904 73540324 96168116 113653228 147080648 192336232 227306456 294161296 312546377 384672464 454612912 625092754 1250185508 2500371016 5000742032