Search a number
-
+
29421962041878 = 23273137263774073
BaseRepresentation
bin1101011000010010101011…
…00110001001101000010110
310212011201020010022000201100
412230021111212021220112
512324022134240320003
6142324132431410530
76124444434664620
oct654112546115026
9125151203260640
1029421962041878
1194138695a869a
12337220b683a46
13135562c8036c3
1473a05dc05c10
153604ed08cba3
hex1ac255989a16

29421962041878 has 192 divisors, whose sum is σ = 77530855514112. Its totient is φ = 7885130872320.

The previous prime is 29421962041819. The next prime is 29421962041883. The reversal of 29421962041878 is 87814026912492.

29421962041878 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 196 + 20 + 418 + 7 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37622250 + ... + 38396322.

It is an arithmetic number, because the mean of its divisors is an integer number (403806539136).

Almost surely, 229421962041878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29421962041878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38765427757056).

29421962041878 is an abundant number, since it is smaller than the sum of its proper divisors (48108893472234).

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

29421962041878 is a wasteful number, since it uses less digits than its factorization.

29421962041878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774419 (or 774416 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 29421962041878 in words is "twenty-nine trillion, four hundred twenty-one billion, nine hundred sixty-two million, forty-one thousand, eight hundred seventy-eight".