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34053242526 = 23223313317829
BaseRepresentation
bin11111101101101110…
…110011111010011110
310020220020011221211200
4133231232303322132
51024220112230101
623351023100330
72313604533312
oct375556637236
9106806157750
1034053242526
1113495193146
1267244416a6
133299038a64
14191089bb42
15d448b9986
hex7edbb3e9e

34053242526 has 96 divisors (see below), whose sum is σ = 77573021760. Its totient is φ = 10775711232.

The previous prime is 34053242513. The next prime is 34053242563. The reversal of 34053242526 is 62524235043.

34053242526 is a `hidden beast` number, since 3 + 40 + 53 + 2 + 42 + 526 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41077080 + ... + 41077908.

It is an arithmetic number, because the mean of its divisors is an integer number (808052310).

Almost surely, 234053242526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34053242526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38786510880).

34053242526 is an abundant number, since it is smaller than the sum of its proper divisors (43519779234).

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

34053242526 is a wasteful number, since it uses less digits than its factorization.

34053242526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 34053242526 its reverse (62524235043), we get a palindrome (96577477569).

The spelling of 34053242526 in words is "thirty-four billion, fifty-three million, two hundred forty-two thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 313 317 414 626 634 829 939 951 1658 1878 1902 2487 2817 2853 4974 5634 5706 7199 7291 7461 14398 14582 14922 19067 21597 21873 38134 43194 43746 57201 64791 65619 99221 114402 129582 131238 171603 198442 259477 262793 297663 343206 518954 525586 595326 778431 788379 892989 1556862 1576758 1785978 2282083 2335293 2365137 4564166 4670586 4730274 5967971 6044239 6846249 11935942 12088478 13692498 17903913 18132717 20538747 35807826 36265434 41077494 53711739 54398151 82254209 107423478 108796302 164508418 246762627 493525254 740287881 1480575762 1891846807 3783693614 5675540421 11351080842 17026621263 34053242526