Search a number
-
+
34511351137732 = 22741138323217333
BaseRepresentation
bin1111101100011010011001…
…10100110100010111000100
311112012020211101202201022101
413312031030310310113010
514010413221342401412
6201222143522441444
710161235311351010
oct766151464642704
9145166741681271
1034511351137732
11aaa620000a987
123a54645803284
131634538c740a1
148745032a5540
153ecabd1b7457
hex1f634cd345c4

34511351137732 has 48 divisors (see below), whose sum is σ = 70707019324032. Its totient is φ = 14429662513920.

The previous prime is 34511351137729. The next prime is 34511351137733. The reversal of 34511351137732 is 23773115311543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34511351137733) 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 15 ways as a sum of consecutive naturals, for example, 158686138 + ... + 158903470.

It is an arithmetic number, because the mean of its divisors is an integer number (1473062902584).

Almost surely, 234511351137732 is an apocalyptic number.

It is an amenable number.

34511351137732 is an abundant number, since it is smaller than the sum of its proper divisors (36195668186300).

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

34511351137732 is a wasteful number, since it uses less digits than its factorization.

34511351137732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355708 (or 355706 counting only the distinct ones).

The product of its digits is 793800, while the sum is 46.

The spelling of 34511351137732 in words is "thirty-four trillion, five hundred eleven billion, three hundred fifty-one million, one hundred thirty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1148 138323 217333 276646 434666 553292 869332 968261 1521331 1936522 3042662 3873044 5671243 6085324 8910653 11342486 17821306 22684972 35642612 39698701 62374571 79397402 124749142 158794804 249498284 30062152559 60124305118 120248610236 210435067913 420870135826 841740271652 1232548254919 2465096509838 4930193019676 8627837784433 17255675568866 34511351137732