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10995429632 = 2811103167227
BaseRepresentation
bin10100011110110000…
…01111000100000000
31001101021211200212112
422033120033010000
5140004312222012
65015022114452
7536322416105
oct121730170400
931337750775
1010995429632
1147326a7030
12216a41ba28
131062cb72a5
14764440aac
1544548a122
hex28f60f100

10995429632 has 144 divisors (see below), whose sum is σ = 24427533312. Its totient is φ = 4898088960.

The previous prime is 10995429629. The next prime is 10995429659. The reversal of 10995429632 is 23692459901.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48437903 + ... + 48438129.

It is an arithmetic number, because the mean of its divisors is an integer number (169635648).

Almost surely, 210995429632 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 10995429632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213766656).

10995429632 is an abundant number, since it is smaller than the sum of its proper divisors (13432103680).

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

10995429632 is a wasteful number, since it uses less digits than its factorization.

10995429632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 50.

The spelling of 10995429632 in words is "ten billion, nine hundred ninety-five million, four hundred twenty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 128 167 176 206 227 256 334 352 412 454 668 704 824 908 1133 1336 1408 1648 1816 1837 2266 2497 2672 2816 3296 3632 3674 4532 4994 5344 6592 7264 7348 9064 9988 10688 13184 14528 14696 17201 18128 19976 21376 23381 26368 29056 29392 34402 36256 37909 39952 42752 46762 58112 58784 68804 72512 75818 79904 93524 117568 137608 145024 151636 159808 187048 189211 235136 257191 275216 290048 303272 319616 374096 378422 416999 470272 514382 550432 606544 639232 748192 756844 833998 1028764 1100864 1213088 1496384 1513688 1667996 2057528 2201728 2426176 2992768 3027376 3335992 3904627 4115056 4403456 4852352 5985536 6054752 6671984 7809254 8230112 9704704 12109504 13343968 15618508 16460224 24219008 26687936 31237016 32920448 42950897 48438016 53375872 62474032 65840896 85901794 106751744 124948064 171803588 249896128 343607176 499792256 687214352 999584512 1374428704 2748857408 5497714816 10995429632