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34625606444 = 221113161337529
BaseRepresentation
bin100000001111110110…
…001101001100101100
310022101010012001112022
4200033312031030230
51031403123401234
623523510525312
72334024540632
oct401766151454
9108333161468
1034625606444
1113759285680
126864066838
13335a7a9630
1419668cd352
15d79c78e2e
hex80fd8d32c

34625606444 has 48 divisors (see below), whose sum is σ = 71234341920. Its totient is φ = 14518832640.

The previous prime is 34625606429. The next prime is 34625606453. The reversal of 34625606444 is 44460652643.

It is a super-2 number, since 2×346256064442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 34625606395 and 34625606404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903872 + ... + 941400.

It is an arithmetic number, because the mean of its divisors is an integer number (1484048790).

Almost surely, 234625606444 is an apocalyptic number.

It is an amenable number.

34625606444 is an abundant number, since it is smaller than the sum of its proper divisors (36608735476).

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

34625606444 is a wasteful number, since it uses less digits than its factorization.

34625606444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39170 (or 39168 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 44.

The spelling of 34625606444 in words is "thirty-four billion, six hundred twenty-five million, six hundred six thousand, four hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 1613 3226 6452 17743 20969 35486 37529 41938 70972 75058 83876 150116 230659 412819 461318 487877 825638 922636 975754 1651276 1951508 5366647 10733294 21466588 60534277 121068554 242137108 665877047 786945601 1331754094 1573891202 2663508188 3147782404 8656401611 17312803222 34625606444