Search a number
-
+
35502044112 = 24321743333493
BaseRepresentation
bin100001000100000101…
…100011001111010000
310101122012100200222200
4201010011203033100
51040202010402422
624150500003200
72364526252533
oct410405431720
9111565320880
1035502044112
1114068a84227
126a69690500
13346a2432c2
141a0b074a1a
15dcbb9e2ac
hex8441633d0

35502044112 has 120 divisors (see below), whose sum is σ = 105447016584. Its totient is φ = 11111841792.

The previous prime is 35502044041. The next prime is 35502044113. The reversal of 35502044112 is 21144020553.

35502044112 is a `hidden beast` number, since 3 + 5 + 502 + 0 + 44 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14741845056 + 20760199056 = 121416^2 + 144084^2 .

It is a super-2 number, since 2×355020441122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35502044113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1043238 + ... + 1076730.

Almost surely, 235502044112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35502044112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52723508292).

35502044112 is an abundant number, since it is smaller than the sum of its proper divisors (69944972472).

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

35502044112 is a wasteful number, since it uses less digits than its factorization.

35502044112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33957 (or 33948 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 35502044112 its reverse (21144020553), we get a palindrome (56646064665).

The spelling of 35502044112 in words is "thirty-five billion, five hundred two million, forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 433 612 816 866 1224 1299 1732 2448 2598 3464 3897 5196 6928 7361 7794 10392 14722 15588 20784 22083 29444 31176 33493 44166 58888 62352 66249 66986 88332 100479 117776 132498 133972 176664 200958 264996 267944 301437 353328 401916 529992 535888 569381 602874 803832 1059984 1138762 1205748 1607664 1708143 2277524 2411496 3416286 4555048 4822992 5124429 6832572 9110096 10248858 13665144 14502469 20497716 27330288 29004938 40995432 43507407 58009876 81990864 87014814 116019752 130522221 174029628 232039504 246541973 261044442 348059256 493083946 522088884 696118512 739625919 986167892 1044177768 1479251838 1972335784 2088355536 2218877757 2958503676 3944671568 4437755514 5917007352 8875511028 11834014704 17751022056 35502044112