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34126676056083 = 31319193241990151
BaseRepresentation
bin1111100001001101111000…
…11001110101100000010011
311110211110220201201212012010
413300212330121311200103
513433112413032243313
6200325324544434003
710121366563201152
oct760467431654023
9143743821655163
1034126676056083
11a968050a53566
1239b1b8a918903
131607193595890
1485da50545599
153e2aa6db54c3
hex1f09bc675813

34126676056083 has 64 divisors (see below), whose sum is σ = 52063934827520. Its totient is φ = 19710480384000.

The previous prime is 34126676056079. The next prime is 34126676056091. The reversal of 34126676056083 is 38065067662143.

It is not a de Polignac number, because 34126676056083 - 22 = 34126676056079 is a prime.

It is a super-2 number, since 2×341266760560832 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34126676056003) 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 63 ways as a sum of consecutive naturals, for example, 33971058 + ... + 34961208.

It is an arithmetic number, because the mean of its divisors is an integer number (813498981680).

Almost surely, 234126676056083 is an apocalyptic number.

34126676056083 is a deficient number, since it is larger than the sum of its proper divisors (17937258771437).

34126676056083 is a wasteful number, since it uses less digits than its factorization.

34126676056083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990620.

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 34126676056083 in words is "thirty-four trillion, one hundred twenty-six billion, six hundred seventy-six million, fifty-six thousand, eighty-three".

Divisors: 1 3 13 19 39 57 193 241 247 579 723 741 2509 3133 3667 4579 7527 9399 11001 13737 46513 47671 59527 139539 143013 178581 604669 883747 990151 1814007 2651241 2970453 11488711 12871963 18812869 34466133 38615889 56438607 191099143 238626391 244567297 573297429 715879173 733701891 2484288859 3102143083 3630883717 4533901429 7452866577 9306429249 10892651151 13601704287 46054893463 47201488321 58940718577 138164680389 141604464963 176822155731 598713615019 875042975797 1796140845057 2625128927391 11375558685361 34126676056083