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11132329780 = 225111312730649
BaseRepresentation
bin10100101111000100…
…11101111100110100
31001201211102221120101
422113202131330310
5140244334023110
65040352243444
7542604145645
oct122742357464
931654387511
1011132329780
1147a2a01150
1221a8240584
13108547a6b0
147786b96cc
154524cd13a
hex29789df34

11132329780 has 96 divisors (see below), whose sum is σ = 27682099200. Its totient is φ = 3707182080.

The previous prime is 11132329739. The next prime is 11132329883. The reversal of 11132329780 is 8792323111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347896 + ... + 378544.

It is an arithmetic number, because the mean of its divisors is an integer number (288355200).

Almost surely, 211132329780 is an apocalyptic number.

11132329780 is a gapful number since it is divisible by the number (10) 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 11132329780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841049600).

11132329780 is an abundant number, since it is smaller than the sum of its proper divisors (16549769420).

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

11132329780 is a wasteful number, since it uses less digits than its factorization.

11132329780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30809 (or 30807 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 11132329780 in words is "eleven billion, one hundred thirty-two million, three hundred twenty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 127 130 143 220 254 260 286 508 572 635 715 1270 1397 1430 1651 2540 2794 2860 3302 5588 6604 6985 8255 13970 16510 18161 27940 30649 33020 36322 61298 72644 90805 122596 153245 181610 306490 337139 363220 398437 612980 674278 796874 1348556 1593748 1685695 1992185 3371390 3892423 3984370 4382807 6742780 7784846 7968740 8765614 15569692 17531228 19462115 21914035 38924230 42816653 43828070 50601499 77848460 85633306 87656140 101202998 171266612 202405996 214083265 253007495 428166530 506014990 556616489 856333060 1012029980 1113232978 2226465956 2783082445 5566164890 11132329780