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11338833924 = 223711117833
BaseRepresentation
bin10101000111101100…
…01110000000000100
31002021020000110000000
422203312032000010
5141210220141144
65113050321300
7550662332565
oct124366160004
932236013000
1011338833924
114899526830
122245429230
1310b91a12b2
14797cb216c
154656be769
hex2a3d8e004

11338833924 has 96 divisors (see below), whose sum is σ = 32465623680. Its totient is φ = 3435981120.

The previous prime is 11338833899. The next prime is 11338833949. The reversal of 11338833924 is 42933883311.

It is an interprime number because it is at equal distance from previous prime (11338833899) and next prime (11338833949).

It is a self number, because there is not a number n which added to its sum of digits gives 11338833924.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 37312 + ... + 155144.

It is an arithmetic number, because the mean of its divisors is an integer number (338183580).

Almost surely, 211338833924 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 11338833924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232811840).

11338833924 is an abundant number, since it is smaller than the sum of its proper divisors (21126789756).

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

11338833924 is a wasteful number, since it uses less digits than its factorization.

11338833924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117869 (or 117849 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 11338833924 in words is "eleven billion, three hundred thirty-eight million, eight hundred thirty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2187 2673 2916 3564 4374 5346 8019 8748 10692 16038 24057 32076 48114 96228 117833 235666 353499 471332 706998 1060497 1296163 1413996 2120994 2592326 3181491 3888489 4241988 5184652 6362982 7776978 9544473 11665467 12725964 15553956 19088946 23330934 28633419 34996401 38177892 46661868 57266838 69992802 85900257 104989203 114533676 139985604 171800514 209978406 257700771 314967609 343601028 419956812 515401542 629935218 944902827 1030803084 1259870436 1889805654 2834708481 3779611308 5669416962 11338833924