Search a number
-
+
30475746642 = 23114327738767
BaseRepresentation
bin11100011000011111…
…101111110101010010
32220122220111100002010
4130120133233311102
5444403242343032
622000025003350
72126134400205
oct343037576522
986586440063
1030475746642
1111a19845580
125aa6323556
132b48b07aa3
1416916c993c
15bd57a0ccc
hex7187efd52

30475746642 has 64 divisors (see below), whose sum is σ = 68286265344. Its totient is φ = 8987509440.

The previous prime is 30475746617. The next prime is 30475746647. The reversal of 30475746642 is 24664757403.

It is a super-2 number, since 2×304757466422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30475746591 and 30475746600.

It is not an unprimeable number, because it can be changed into a prime (30475746647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766743 + ... + 805509.

It is an arithmetic number, because the mean of its divisors is an integer number (1066972896).

Almost surely, 230475746642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30475746642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34143132672).

30475746642 is an abundant number, since it is smaller than the sum of its proper divisors (37810518702).

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

30475746642 is a wasteful number, since it uses less digits than its factorization.

30475746642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39103.

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 30475746642 in words is "thirty billion, four hundred seventy-five million, seven hundred forty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 277 473 554 831 946 1419 1662 2838 3047 6094 9141 11911 18282 23822 35733 38767 71466 77534 116301 131021 232602 262042 393063 426437 786126 852874 1279311 1666981 2558622 3333962 5000943 10001886 10738459 18336791 21476918 32215377 36673582 55010373 64430754 110020746 118123049 236246098 354369147 461753737 708738294 923507474 1385261211 2770522422 5079291107 10158582214 15237873321 30475746642