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11319166096 = 2471937233617
BaseRepresentation
bin10101000101010110…
…01100010010010000
31002012212000012210221
422202223030102100
5141140201303341
65111105002424
7550333216150
oct124253142220
932185005727
1011319166096
114889413027
12223a923414
1310b50a6124
14795432760
15463ad6ed1
hex2a2acc490

11319166096 has 160 divisors (see below), whose sum is σ = 27256469760. Its totient is φ = 4445134848.

The previous prime is 11319166091. The next prime is 11319166099. The reversal of 11319166096 is 69066191311.

It is a super-2 number, since 2×113191660962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11319166091) 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 31 ways as a sum of consecutive naturals, for example, 18345180 + ... + 18345796.

It is an arithmetic number, because the mean of its divisors is an integer number (170352936).

Almost surely, 211319166096 is an apocalyptic number.

11319166096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11319166096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628234880).

11319166096 is an abundant number, since it is smaller than the sum of its proper divisors (15937303664).

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

11319166096 is a wasteful number, since it uses less digits than its factorization.

11319166096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 43.

The spelling of 11319166096 in words is "eleven billion, three hundred nineteen million, one hundred sixty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 56 74 76 112 133 148 152 233 259 266 296 304 466 518 532 592 617 703 932 1036 1064 1234 1406 1631 1864 2072 2128 2468 2812 3262 3728 4144 4319 4427 4921 4936 5624 6524 8621 8638 8854 9842 9872 11248 11723 13048 17242 17276 17708 19684 22829 23446 26096 30989 34484 34552 35416 39368 45658 46892 60347 61978 68968 69104 70832 78736 82061 91316 93784 120694 123956 137936 143761 159803 163799 164122 182632 187568 241388 247912 287522 319606 327598 328244 365264 433751 482776 495824 575044 639212 655196 656488 867502 965552 1006327 1146593 1150088 1278424 1310392 1312976 1735004 2012654 2293186 2300176 2556848 2620784 2731459 3036257 3470008 4025308 4586372 5319157 5462918 6072514 6940016 8050616 9172744 10638314 10925836 12145028 16101232 18345488 19120213 21276628 21851672 24290056 37234099 38240426 42553256 43703344 48580112 74468198 76480852 85106512 101063983 148936396 152961704 202127966 297872792 305923408 404255932 595745584 707447881 808511864 1414895762 1617023728 2829791524 5659583048 11319166096