Search a number
-
+
5012846272 = 267292411601
BaseRepresentation
bin1001010101100100…
…11111011011000000
3110221100112222100001
410222302133123000
540231242040042
62145230405344
7235136330110
oct45262373300
913840488301
105012846272
112142691665
12b7a960854
1361b708b35
14357a87040
151e5142bb7
hex12ac9f6c0

5012846272 has 112 divisors (see below), whose sum is σ = 11816608320. Its totient is φ = 2064384000.

The previous prime is 5012846269. The next prime is 5012846291. The reversal of 5012846272 is 2726482105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3130272 + ... + 3131872.

Almost surely, 25012846272 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 5012846272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908304160).

5012846272 is an abundant number, since it is smaller than the sum of its proper divisors (6803762048).

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

5012846272 is a wasteful number, since it uses less digits than its factorization.

5012846272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 5012846272 is about 70801.4567081780. The cubic root of 5012846272 is about 1711.4391486868.

The spelling of 5012846272 in words is "five billion, twelve million, eight hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 241 406 448 464 482 812 928 964 1601 1624 1687 1856 1928 3202 3248 3374 3856 6404 6496 6748 6989 7712 11207 12808 12992 13496 13978 15424 22414 25616 26992 27956 44828 46429 48923 51232 53984 55912 89656 92858 97846 102464 107968 111824 179312 185716 195692 223648 325003 358624 371432 385841 391384 447296 650006 717248 742864 771682 782768 1300012 1485728 1543364 1565536 2600024 2700887 2971456 3086728 3131072 5200048 5401774 6173456 10400096 10803548 11189389 12346912 20800192 21607096 22378778 24693824 43214192 44757556 78325723 86428384 89515112 156651446 172856768 179030224 313302892 358060448 626605784 716120896 1253211568 2506423136 5012846272