Search a number
-
+
20182640562 = 23674345989
BaseRepresentation
bin10010110010111110…
…101010011110110010
31221002120012101000000
4102302332222132302
5312313223444222
613134412010430
71313100420450
oct226276523662
957076171000
1020182640562
118617635637
123ab3160a16
131b98494686
14d966699d0
157d1ce69ac
hex4b2faa7b2

20182640562 has 112 divisors (see below), whose sum is σ = 53082025920. Its totient is φ = 5632242336.

The previous prime is 20182640561. The next prime is 20182640573. The reversal of 20182640562 is 26504628102.

It is a happy number.

20182640562 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 2 + 640 + 5 + 6 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (20182640561) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 415864 + ... + 461852.

It is an arithmetic number, because the mean of its divisors is an integer number (473946660).

Almost surely, 220182640562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20182640562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26541012960).

20182640562 is an abundant number, since it is smaller than the sum of its proper divisors (32899385358).

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

20182640562 is an equidigital number, since it uses as much as digits as its factorization.

20182640562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46059 (or 46044 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20182640562 in words is "twenty billion, one hundred eighty-two million, six hundred forty thousand, five hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 243 258 301 378 387 486 567 602 729 774 903 1134 1161 1458 1701 1806 2322 2709 3402 3483 5103 5418 6966 8127 10206 10449 16254 20898 24381 31347 45989 48762 62694 73143 91978 137967 146286 219429 275934 321923 413901 438858 643846 827802 965769 1241703 1931538 1977527 2483406 2897307 3725109 3955054 5794614 5932581 7450218 8691921 11175327 11865162 13842689 17383842 17797743 22350654 26075763 27685378 33525981 35595486 41528067 52151526 53393229 67051962 78227289 83056134 106786458 124584201 156454578 160179687 234681867 249168402 320359374 373752603 469363734 480539061 747505206 961078122 1121257809 1441617183 2242515618 2883234366 3363773427 6727546854 10091320281 20182640562