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20841755994 = 232191311732689
BaseRepresentation
bin10011011010010000…
…111111010101011010
31222210111102220101200
4103122100333111122
5320140442142434
613324035055030
71335323001003
oct233220772532
958714386350
1020841755994
11892569a834
124057a41476
131c71bba6c7
14101a0001aa
1581eae0199
hex4da43f55a

20841755994 has 96 divisors (see below), whose sum is σ = 48191457600. Its totient is φ = 6491197440.

The previous prime is 20841755971. The next prime is 20841756007. The reversal of 20841755994 is 49955714802.

It is a happy number.

20841755994 is a `hidden beast` number, since 2 + 0 + 8 + 41 + 7 + 5 + 599 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20841755994.

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 47 ways as a sum of consecutive naturals, for example, 7749402 + ... + 7752090.

It is an arithmetic number, because the mean of its divisors is an integer number (501994350).

Almost surely, 220841755994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20841755994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095728800).

20841755994 is an abundant number, since it is smaller than the sum of its proper divisors (27349701606).

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

20841755994 is a wasteful number, since it uses less digits than its factorization.

20841755994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 20841755994 in words is "twenty billion, eight hundred forty-one million, seven hundred fifty-five thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 131 171 173 262 342 346 393 519 786 1038 1179 1557 2358 2489 2689 3114 3287 4978 5378 6574 7467 8067 9861 14934 16134 19722 22401 22663 24201 29583 44802 45326 48402 51091 59166 67989 102182 135978 153273 203967 306546 352259 407934 430597 459819 465197 704518 861194 919638 930394 1056777 1291791 1395591 2113554 2583582 2791182 3170331 3875373 4186773 6340662 6692921 7750746 8373546 8838743 13385842 17677486 20078763 26516229 40157526 53032458 60236289 60940807 79548687 120472578 121881614 159097374 182822421 365644842 548467263 1096934526 1157875333 2315750666 3473625999 6947251998 10420877997 20841755994