Search a number
-
+
11051141139504 = 24321374211330583
BaseRepresentation
bin1010000011010000101101…
…0101111000110000110000
31110010110221000201202001100
42200310023111320300300
52422030214112431004
635300454003404400
72220263402534364
oct240641325706060
943113830652040
1011051141139504
113580843085a64
1212a5950983700
1362216c719b4b
142a2c416732a4
151426eb30e739
hexa0d0b578c30

11051141139504 has 120 divisors (see below), whose sum is σ = 31227619599072. Its totient is φ = 3648136504320.

The previous prime is 11051141139499. The next prime is 11051141139527. The reversal of 11051141139504 is 40593114115011.

11051141139504 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 1 + 14 + 1 + 139 + 504 = 666.

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

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, 7640197 + ... + 8970779.

Almost surely, 211051141139504 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 11051141139504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15613809799536).

11051141139504 is an abundant number, since it is smaller than the sum of its proper divisors (20176478459568).

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

11051141139504 is a wasteful number, since it uses less digits than its factorization.

11051141139504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331155 (or 1331146 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 11051141139504 in words is "eleven trillion, fifty-one billion, one hundred forty-one million, one hundred thirty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 421 548 822 842 1096 1233 1263 1644 1684 2192 2466 2526 3288 3368 3789 4932 5052 6576 6736 7578 9864 10104 15156 19728 20208 30312 57677 60624 115354 173031 230708 346062 461416 519093 692124 922832 1038186 1330583 1384248 2076372 2661166 2768496 3991749 4152744 5322332 7983498 8305488 10644664 11975247 15966996 21289328 23950494 31933992 47900988 63867984 95801976 182289871 191603952 364579742 546869613 560175443 729159484 1093739226 1120350886 1458318968 1640608839 1680526329 2187478452 2240701772 2916637936 3281217678 3361052658 4374956904 4481403544 5041578987 6562435356 6722105316 8749913808 8962807088 10083157974 13124870712 13444210632 20166315948 26249741424 26888421264 40332631896 76744035691 80665263792 153488071382 230232107073 306976142764 460464214146 613952285528 690696321219 920928428292 1227904571056 1381392642438 1841856856584 2762785284876 3683713713168 5525570569752 11051141139504