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34426325556 = 22327491278233
BaseRepresentation
bin100000000011111110…
…000000101000110100
310021212020012112112200
4200003332000220310
51031001114404211
623452031344500
72326054640040
oct400376005064
9107766175480
1034426325556
1113666843a27
126809382130
13332841474c
141948257020
15d67512b56
hex803f80a34

34426325556 has 72 divisors (see below), whose sum is σ = 99656741184. Its totient is φ = 9816024960.

The previous prime is 34426325533. The next prime is 34426325569. The reversal of 34426325556 is 65552362443.

34426325556 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 632 + 5 + 5 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15385 + ... + 262848.

Almost surely, 234426325556 is an apocalyptic number.

34426325556 is a gapful number since it is divisible by the number (36) 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 34426325556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49828370592).

34426325556 is an abundant number, since it is smaller than the sum of its proper divisors (65230415628).

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

34426325556 is a wasteful number, since it uses less digits than its factorization.

34426325556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278741 (or 278736 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

Adding to 34426325556 its reverse (65552362443), we get a palindrome (99978687999).

The spelling of 34426325556 in words is "thirty-four billion, four hundred twenty-six million, three hundred twenty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 491 982 1473 1964 2946 3437 4419 5892 6874 8838 10311 13748 17676 20622 30933 41244 61866 123732 278233 556466 834699 1112932 1669398 1947631 2504097 3338796 3895262 5008194 5842893 7790524 10016388 11685786 17528679 23371572 35057358 70114716 136612403 273224806 409837209 546449612 819674418 956286821 1229511627 1639348836 1912573642 2459023254 2868860463 3825147284 4918046508 5737720926 8606581389 11475441852 17213162778 34426325556