Search a number
-
+
422679607392 = 25374713619833
BaseRepresentation
bin1100010011010011010…
…10101111100001100000
31111102000021020210112210
412021221222233201200
523411121434414032
6522102030522120
742352252245240
oct6115152574140
91442007223483
10422679607392
1115329168a089
1269b02666340
1330b2120c683
141665a2cdb20
15aedca1c2cc
hex6269aaf860

422679607392 has 192 divisors, whose sum is σ = 1296101689344. Its totient is φ = 118097264640.

The previous prime is 422679607369. The next prime is 422679607393. The reversal of 422679607392 is 293706976224.

It is a super-2 number, since 2×4226796073922 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422679607393) 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, 42980908 + ... + 42990740.

It is an arithmetic number, because the mean of its divisors is an integer number (6750529632).

Almost surely, 2422679607392 is an apocalyptic number.

422679607392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422679607392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648050844672).

422679607392 is an abundant number, since it is smaller than the sum of its proper divisors (873422081952).

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

422679607392 is a wasteful number, since it uses less digits than its factorization.

422679607392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11261 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 422679607392 in words is "four hundred twenty-two billion, six hundred seventy-nine million, six hundred seven thousand, three hundred ninety-two".