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11004031232432 = 2472127163678023
BaseRepresentation
bin1010000000100001001101…
…0111110110100110110000
31102221222022212010111121022
42200020103113312212300
52420242223443414212
635223103202515012
72214005103120500
oct240102327664660
942858285114538
1011004031232432
113562868835567
1212987a3965a68
1361a8a265c6a4
142a0852ad9a00
1514139054d772
hexa02135f69b0

11004031232432 has 120 divisors (see below), whose sum is σ = 25149852020736. Its totient is φ = 4650167781504.

The previous prime is 11004031232419. The next prime is 11004031232461. The reversal of 11004031232432 is 23423213040011.

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 23 ways as a sum of consecutive naturals, for example, 15890573 + ... + 16568595.

Almost surely, 211004031232432 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 11004031232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12574926010368).

11004031232432 is an abundant number, since it is smaller than the sum of its proper divisors (14145820788304).

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

11004031232432 is a wasteful number, since it uses less digits than its factorization.

11004031232432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678335 (or 678322 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 11004031232432 its reverse (23423213040011), we get a palindrome (34427244272443).

The spelling of 11004031232432 in words is "eleven trillion, four billion, thirty-one million, two hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 127 163 196 254 326 392 508 652 784 889 1016 1141 1304 1778 2032 2282 2608 3556 4564 6223 7112 7987 9128 12446 14224 15974 18256 20701 24892 31948 41402 49784 63896 82804 99568 127792 144907 165608 289814 331216 579628 678023 1014349 1159256 1356046 2028698 2318512 2712092 4057396 4746161 5424184 8114792 9492322 10848368 16229584 18984644 33223127 37969288 66446254 75938576 86108921 110517749 132892508 172217842 221035498 265785016 344435684 442070996 531570032 602762447 688871368 773624243 884141992 1205524894 1377742736 1547248486 1768283984 2411049788 3094496972 4219337129 4822099576 5415369701 6188993944 8438674258 9644199152 10830739402 12377987888 14035754123 16877348516 21661478804 28071508246 33754697032 43322957608 56143016492 67509394064 86645915216 98250278861 112286032984 196500557722 224572065968 393001115444 687751952027 786002230888 1375503904054 1572004461776 2751007808108 5502015616216 11004031232432