Search a number
-
+
291920139810 = 233513172417019
BaseRepresentation
bin1000011111101111100…
…10111101011000100010
31000220111102020121021000
410033313302331120202
514240323023433220
6342034541412430
730043024150545
oct4176762753042
91026442217230
10291920139810
111028913437a2
12486ab56a116
13216b2ba6c50
14101b400a85c
1578d818b390
hex43f7cbd622

291920139810 has 384 divisors, whose sum is σ = 912400070400. Its totient is φ = 65971445760.

The previous prime is 291920139787. The next prime is 291920139857. The reversal of 291920139810 is 18931029192.

It is a super-2 number, since 2×2919201398102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41586481 + ... + 41593499.

It is an arithmetic number, because the mean of its divisors is an integer number (2376041850).

Almost surely, 2291920139810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 291920139810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456200035200).

291920139810 is an abundant number, since it is smaller than the sum of its proper divisors (620479930590).

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

291920139810 is a wasteful number, since it uses less digits than its factorization.

291920139810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 291920139810 in words is "two hundred ninety-one billion, nine hundred twenty million, one hundred thirty-nine thousand, eight hundred ten".