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34269696140767 = 2331671973936343
BaseRepresentation
bin1111100101011000010010…
…00100001010010111011111
311111100011002001020221021121
413302230021010022113133
513442433314203001032
6200515140413311411
710134622005644113
oct762541104122737
9144304061227247
1034269696140767
11aa12773075a5a
123a15843a95567
131617806a51c19
1486693acc7743
153e6677ce6a97
hex1f2b0910a5df

34269696140767 has 32 divisors (see below), whose sum is σ = 37467093565440. Its totient is φ = 31246389329760.

The previous prime is 34269696140761. The next prime is 34269696140831. The reversal of 34269696140767 is 76704169696243.

It is a cyclic number.

It is not a de Polignac number, because 34269696140767 - 23 = 34269696140759 is a prime.

It is a super-2 number, since 2×342696961407672 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34269696140696 and 34269696140705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34269696140761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942933598 + ... + 942969940.

It is an arithmetic number, because the mean of its divisors is an integer number (1170846673920).

Almost surely, 234269696140767 is an apocalyptic number.

34269696140767 is a deficient number, since it is larger than the sum of its proper divisors (3197397424673).

34269696140767 is a wasteful number, since it uses less digits than its factorization.

34269696140767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56203.

The product of its (nonzero) digits is 493807104, while the sum is 70.

The spelling of 34269696140767 in words is "thirty-four trillion, two hundred sixty-nine billion, six hundred ninety-six million, one hundred forty thousand, seven hundred sixty-seven".

Divisors: 1 23 31 67 713 1541 2077 19739 36343 47771 453997 611909 835889 1126633 1322513 2434981 14073907 25912559 30417799 40997903 56004563 75484411 717374477 942951769 1736141453 16499612971 22238608787 48064089959 511488002101 1105474069057 1489986788729 34269696140767