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34536139232 = 257226898191
BaseRepresentation
bin100000001010100000…
…111010100111100000
310022010212211122120212
4200022200322213200
51031212222423412
623510553153252
72331560224400
oct401240724740
9108125748525
1034536139232
1113712828631
12683a0bb828
1333450b305a
141958a80800
15d71ea5222
hex80a83a9e0

34536139232 has 72 divisors (see below), whose sum is σ = 79132999680. Its totient is φ = 14793891840.

The previous prime is 34536139223. The next prime is 34536139271. The reversal of 34536139232 is 23293163543.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34536139232.

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 11 ways as a sum of consecutive naturals, for example, 4212257 + ... + 4220447.

It is an arithmetic number, because the mean of its divisors is an integer number (1099069440).

Almost surely, 234536139232 is an apocalyptic number.

34536139232 is a gapful number since it is divisible by the number (32) 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 34536139232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39566499840).

34536139232 is an abundant number, since it is smaller than the sum of its proper divisors (44596860448).

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

34536139232 is a wasteful number, since it uses less digits than its factorization.

34536139232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904 (or 10889 counting only the distinct ones).

The product of its digits is 349920, while the sum is 41.

The spelling of 34536139232 in words is "thirty-four billion, five hundred thirty-six million, one hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2689 5378 8191 10756 16382 18823 21512 32764 37646 43024 57337 65528 75292 86048 114674 131056 131761 150584 229348 262112 263522 301168 401359 458696 527044 602336 802718 917392 1054088 1605436 1834784 2108176 3210872 4216352 6421744 12843488 22025599 44051198 88102396 154179193 176204792 308358386 352409584 616716772 704819168 1079254351 1233433544 2158508702 2466867088 4317017404 4933734176 8634034808 17268069616 34536139232