Search a number
-
+
5123952972 = 2233234743889
BaseRepresentation
bin1001100010110100…
…10101000101001100
3111020002121210002000
410301122111011030
540443212443342
62204240032300
7240655611255
oct46132250514
914202553060
105123952972
11219a379786
12bb0002690
1363873ab48
14368729b2c
151eec8d44c
hex13169514c

5123952972 has 96 divisors (see below), whose sum is σ = 14157158400. Its totient is φ = 1598927616.

The previous prime is 5123952923. The next prime is 5123953013. The reversal of 5123952972 is 2792593215.

5123952972 is a `hidden beast` number, since 51 + 2 + 3 + 9 + 529 + 72 = 666.

It is a super-3 number, since 3×51239529723 (a number of 30 digits) contains 333 as substring.

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, 94804 + ... + 138692.

It is an arithmetic number, because the mean of its divisors is an integer number (147470400).

Almost surely, 25123952972 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 5123952972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078579200).

5123952972 is an abundant number, since it is smaller than the sum of its proper divisors (9033205428).

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

5123952972 is a wasteful number, since it uses less digits than its factorization.

5123952972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43972 (or 43964 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 5123952972 is about 71581.7921820906. The cubic root of 5123952972 is about 1723.9912014631.

The spelling of 5123952972 in words is "five billion, one hundred twenty-three million, nine hundred fifty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 47 54 69 92 94 108 138 141 188 207 276 282 414 423 564 621 828 846 1081 1242 1269 1692 2162 2484 2538 3243 4324 5076 6486 9729 12972 19458 29187 38916 43889 58374 87778 116748 131667 175556 263334 395001 526668 790002 1009447 1185003 1580004 2018894 2062783 2370006 3028341 4037788 4125566 4740012 6056682 6188349 8251132 9085023 12113364 12376698 18170046 18565047 24753396 27255069 36340092 37130094 47444009 54510138 55695141 74260188 94888018 109020276 111390282 142332027 189776036 222780564 284664054 426996081 569328108 853992162 1280988243 1707984324 2561976486 5123952972