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34426008054 = 23229467141221
BaseRepresentation
bin100000000011111100…
…110011000111110110
310021212012121102000100
4200003330303013312
51031001024224204
623452020454530
72326052145264
oct400374630766
9107765542010
1034426008054
1113666647429
12680924a446
133328333089
1419481b3434
15d6749da39
hex803f331f6

34426008054 has 48 divisors (see below), whose sum is σ = 77327518320. Its totient is φ = 11055831360.

The previous prime is 34426008041. The next prime is 34426008101. The reversal of 34426008054 is 45080062443.

34426008054 is a `hidden beast` number, since 3 + 4 + 42 + 600 + 8 + 0 + 5 + 4 = 666.

34426008054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173164 + ... + 314384.

It is an arithmetic number, because the mean of its divisors is an integer number (1610989965).

Almost surely, 234426008054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34426008054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38663759160).

34426008054 is an abundant number, since it is smaller than the sum of its proper divisors (42901510266).

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

34426008054 is a wasteful number, since it uses less digits than its factorization.

34426008054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141725 (or 141722 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 34426008054 in words is "thirty-four billion, four hundred twenty-six million, eight thousand, fifty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 467 522 934 1401 2802 4203 8406 13543 27086 40629 81258 121887 141221 243774 282442 423663 847326 1270989 2541978 4095409 8190818 12286227 24572454 36858681 65950207 73717362 131900414 197850621 395701242 593551863 1187103726 1912556003 3825112006 5737668009 11475336018 17213004027 34426008054