Search a number
-
+
30415767272 = 23112364323371
BaseRepresentation
bin11100010100111010…
…111100011011101000
32220111201122001211222
4130110322330123220
5444242414023042
621550043241212
72124505520222
oct342472743350
986451561758
1030415767272
11119989a9150
125a8a219208
132b39567337
141687755412
15bd03a42d2
hex714ebc6e8

30415767272 has 64 divisors (see below), whose sum is σ = 65022773760. Its totient is φ = 13203115200.

The previous prime is 30415767271. The next prime is 30415767299. The reversal of 30415767272 is 27276751403.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (30415767271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289747 + ... + 1313117.

It is an arithmetic number, because the mean of its divisors is an integer number (1015980840).

Almost surely, 230415767272 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 30415767272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32511386880).

30415767272 is an abundant number, since it is smaller than the sum of its proper divisors (34607006488).

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

30415767272 is a wasteful number, since it uses less digits than its factorization.

30415767272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24054 (or 24050 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 44.

The spelling of 30415767272 in words is "thirty billion, four hundred fifteen million, seven hundred sixty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 643 1012 1286 2024 2572 5144 7073 14146 14789 23371 28292 29578 46742 56584 59156 93484 118312 162679 186968 257081 325358 514162 537533 650716 1028324 1075066 1301432 2056648 2150132 4300264 5912863 11825726 15027553 23651452 30055106 47302904 60110212 120220424 165303083 330606166 345633719 661212332 691267438 1322424664 1382534876 2765069752 3801970909 7603941818 15207883636 30415767272