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20941969446 = 2334724192
BaseRepresentation
bin10011100000001111…
…010001100000100110
32000001111000021102000
4103200033101200212
5320342121010241
613342015030130
71340650542336
oct234017214046
960044007360
1020941969446
118977217672
12408550b346
131c898a73c8
1410294490c6
158287d7eb6
hex4e03d1826

20941969446 has 72 divisors (see below), whose sum is σ = 47662694040. Its totient is φ = 6815826072.

The previous prime is 20941969441. The next prime is 20941969511. The reversal of 20941969446 is 64496914902.

It is a happy number.

20941969446 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 196 + 9 + 446 = 666.

It is a super-4 number, since 4×209419694464 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20941969392 and 20941969401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20941969441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49980625 + ... + 49981043.

Almost surely, 220941969446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20941969446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831347020).

20941969446 is an abundant number, since it is smaller than the sum of its proper divisors (26720724594).

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

20941969446 is an frugal number, since it uses more digits than its factorization.

20941969446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

Multiplying 20941969446 by its sum of digits (54), we get a square (1130866350084 = 10634222).

20941969446 divided by its sum of digits (54) gives a square (387814249 = 196932).

The spelling of 20941969446 in words is "twenty billion, nine hundred forty-one million, nine hundred sixty-nine thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 419 423 838 846 1257 1269 2209 2514 2538 3771 4418 6627 7542 11313 13254 19693 19881 22626 39386 39762 59079 59643 118158 119286 175561 177237 351122 354474 526683 531711 925571 1053366 1063422 1580049 1851142 2776713 3160098 4740147 5553426 8251367 8330139 9480294 16502734 16660278 24754101 24990417 49508202 49980834 74262303 148524606 222786909 387814249 445573818 775628498 1163442747 2326885494 3490328241 6980656482 10470984723 20941969446