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11374089792 = 2631327716451
BaseRepresentation
bin10101001011111001…
…01101011001000000
31002100200100121221220
422211330231121000
5141243231333132
65120350115040
7551601111432
oct124574553100
932320317856
1011374089792
11490741700a
1222551aba80
1310c3596660
1479c84c652
15468835a2c
hex2a5f2d640

11374089792 has 112 divisors (see below), whose sum is σ = 32527841472. Its totient is φ = 3486873600.

The previous prime is 11374089791. The next prime is 11374089799. The reversal of 11374089792 is 29798047311.

It is not an unprimeable number, because it can be changed into a prime (11374089791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683167 + ... + 699617.

It is an arithmetic number, because the mean of its divisors is an integer number (290427156).

Almost surely, 211374089792 is an apocalyptic number.

11374089792 is a gapful number since it is divisible by the number (12) 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 11374089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263920736).

11374089792 is an abundant number, since it is smaller than the sum of its proper divisors (21153751680).

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

11374089792 is a wasteful number, since it uses less digits than its factorization.

11374089792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16756 (or 16746 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 11374089792 in words is "eleven billion, three hundred seventy-four million, eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 277 312 416 554 624 831 832 1108 1248 1662 2216 2496 3324 3601 4432 6648 7202 8864 10803 13296 14404 16451 17728 21606 26592 28808 32902 43212 49353 53184 57616 65804 86424 98706 115232 131608 172848 197412 213863 230464 263216 345696 394824 427726 526432 641589 691392 789648 855452 1052864 1283178 1579296 1710904 2566356 3158592 3421808 4556927 5132712 6843616 9113854 10265424 13670781 13687232 18227708 20530848 27341562 36455416 41061696 54683124 59240051 72910832 109366248 118480102 145821664 177720153 218732496 236960204 291643328 355440306 437464992 473920408 710880612 874929984 947840816 1421761224 1895681632 2843522448 3791363264 5687044896 11374089792