Search a number
-
+
11336481504 = 2532374792221
BaseRepresentation
bin10101000111011010…
…01111101011100000
31002021001120221002100
422203231033223200
5141204114402004
65112524050400
7550633334325
oct124355175340
932231527070
1011336481504
11489816a387
122244693a00
1310b885962a
1479785cb4c
154653a7739
hex2a3b4fae0

11336481504 has 144 divisors (see below), whose sum is σ = 33193480320. Its totient is φ = 3667368960.

The previous prime is 11336481479. The next prime is 11336481517. The reversal of 11336481504 is 40518463311.

11336481504 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 648 + 1 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5103114 + ... + 5105334.

It is an arithmetic number, because the mean of its divisors is an integer number (230510280).

Almost surely, 211336481504 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 11336481504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16596740160).

11336481504 is an abundant number, since it is smaller than the sum of its proper divisors (21856998816).

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

11336481504 is a wasteful number, since it uses less digits than its factorization.

11336481504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11336481504 in words is "eleven billion, three hundred thirty-six million, four hundred eighty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 479 592 666 888 958 1184 1332 1437 1776 1916 2221 2664 2874 3552 3832 4311 4442 5328 5748 6663 7664 8622 8884 10656 11496 13326 15328 17244 17723 17768 19989 22992 26652 34488 35446 35536 39978 45984 53169 53304 68976 70892 71072 79956 82177 106338 106608 137952 141784 159507 159912 164354 212676 213216 246531 283568 319014 319824 328708 425352 493062 567136 638028 639648 657416 739593 850704 986124 1063859 1276056 1314832 1479186 1701408 1972248 2127718 2552112 2629664 2958372 3191577 3944496 4255436 5104224 5916744 6383154 7888992 8510872 9574731 11833488 12766308 17021744 19149462 23666976 25532616 34043488 38298924 39362783 51065232 76597848 78725566 102130464 118088349 153195696 157451132 236176698 306391392 314902264 354265047 472353396 629804528 708530094 944706792 1259609056 1417060188 1889413584 2834120376 3778827168 5668240752 11336481504