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36404136104 = 2375985312917
BaseRepresentation
bin100001111001110110…
…110000100010101000
310110222001210201120012
4201321312300202220
51044023424323404
624420202551052
72426062023410
oct417166604250
9113861721505
1036404136104
11144912052a6
12707b808488
1335820bcc4b
141a94bb7640
15e30e90a6e
hex879db08a8

36404136104 has 64 divisors (see below), whose sum is σ = 79430198400. Its totient is φ = 15318169344.

The previous prime is 36404136047. The next prime is 36404136133. The reversal of 36404136104 is 40163140463.

It is a super-2 number, since 2×364041361042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2811854 + ... + 2824770.

It is an arithmetic number, because the mean of its divisors is an integer number (1241096850).

Almost surely, 236404136104 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 36404136104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39715099200).

36404136104 is an abundant number, since it is smaller than the sum of its proper divisors (43026062296).

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

36404136104 is a wasteful number, since it uses less digits than its factorization.

36404136104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13842 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 36404136104 its reverse (40163140463), we get a palindrome (76567276567).

The spelling of 36404136104 in words is "thirty-six billion, four hundred four million, one hundred thirty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 853 1652 1706 3304 3412 5971 6824 11942 12917 23884 25834 47768 50327 51668 90419 100654 103336 180838 201308 352289 361676 402616 704578 723352 762103 1409156 1524206 2818312 3048412 5334721 6096824 10669442 11018201 21338884 22036402 42677768 44072804 77127407 88145608 154254814 308509628 617019256 650073859 1300147718 2600295436 4550517013 5200590872 9101034026 18202068052 36404136104