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11159900496 = 2433195572441
BaseRepresentation
bin10100110010010111…
…01001000101010000
31001210202022200111000
422121023221011100
5140323413303441
65043215222000
7543360406023
oct123113510520
931722280430
1011159900496
114807522468
1221b5517900
13108b0b1a24
1477c2151ba
15454b272b6
hex2992e9150

11159900496 has 160 divisors (see below), whose sum is σ = 33793372800. Its totient is φ = 3516410880.

The previous prime is 11159900473. The next prime is 11159900513. The reversal of 11159900496 is 69400995111.

11159900496 is a `hidden beast` number, since 1 + 1 + 159 + 9 + 0 + 0 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4570636 + ... + 4573076.

It is an arithmetic number, because the mean of its divisors is an integer number (211208580).

Almost surely, 211159900496 is an apocalyptic number.

11159900496 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 11159900496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16896686400).

11159900496 is an abundant number, since it is smaller than the sum of its proper divisors (22633472304).

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

11159900496 is a wasteful number, since it uses less digits than its factorization.

11159900496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 11159900496 in words is "eleven billion, one hundred fifty-nine million, nine hundred thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 557 684 912 1026 1114 1368 1671 2052 2228 2441 2736 3342 4104 4456 4882 5013 6684 7323 8208 8912 9764 10026 10583 13368 14646 15039 19528 20052 21166 21969 26736 29292 30078 31749 39056 40104 42332 43938 46379 58584 60156 63498 65907 80208 84664 87876 92758 95247 117168 120312 126996 131814 139137 169328 175752 185516 190494 240624 253992 263628 278274 285741 351504 371032 380988 417411 507984 527256 556548 571482 742064 761976 834822 1054512 1113096 1142964 1252233 1359637 1523952 1669644 2226192 2285928 2504466 2719274 3339288 4078911 4571856 5008932 5438548 6678576 8157822 10017864 10877096 12236733 16315644 20035728 21754192 24473466 25833103 32631288 36710199 48946932 51666206 65262576 73420398 77499309 97893864 103332412 146840796 154998618 195787728 206664824 232497927 293681592 309997236 413329648 464995854 587363184 619994472 697493781 929991708 1239988944 1394987562 1859983416 2789975124 3719966832 5579950248 11159900496