Search a number
-
+
829807042372 = 227117137946179
BaseRepresentation
bin11000001001101000101…
…10101001111101000100
32221022212200100101020221
430010310112221331010
5102043421100323442
61433112540434124
7113644251324130
oct14046426517504
92838780311227
10829807042372
1129aa12495910
121149a4848944
1360334381a59
142c23cd023c0
15168ba003467
hexc1345a9f44

829807042372 has 48 divisors (see below), whose sum is σ = 1835987973120. Its totient is φ = 318747895200.

The previous prime is 829807042367. The next prime is 829807042373. The reversal of 829807042372 is 273240708928.

It is not an unprimeable number, because it can be changed into a prime (829807042373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18951222 + ... + 18994957.

It is an arithmetic number, because the mean of its divisors is an integer number (38249749440).

Almost surely, 2829807042372 is an apocalyptic number.

It is an amenable number.

829807042372 is an abundant number, since it is smaller than the sum of its proper divisors (1006180930748).

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

829807042372 is a wasteful number, since it uses less digits than its factorization.

829807042372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37946272 (or 37946270 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 829807042372 in words is "eight hundred twenty-nine billion, eight hundred seven million, forty-two thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 497 781 994 1562 1988 3124 5467 10934 21868 37946179 75892358 151784716 265623253 417407969 531246506 834815938 1062493012 1669631876 2694178709 2921855783 5388357418 5843711566 10776714836 11687423132 18859250963 29635965799 37718501926 59271931598 75437003852 118543863196 207451760593 414903521186 829807042372