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40382620092 = 22335926324097
BaseRepresentation
bin100101100110111111…
…011110000110111100
310212020100000122121000
4211212333132012330
51130200422320332
630315043410300
72626501415163
oct454677360674
9125210018530
1040382620092
1116142a331a1
1279b0083990
133a6741a199
141d5132a3da
1510b53b5b7c
hex966fde1bc

40382620092 has 96 divisors (see below), whose sum is σ = 106879449600. Its totient is φ = 13181861376.

The previous prime is 40382620079. The next prime is 40382620123. The reversal of 40382620092 is 29002628304.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1663788 + ... + 1687884.

It is an arithmetic number, because the mean of its divisors is an integer number (1113327600).

Almost surely, 240382620092 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 40382620092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53439724800).

40382620092 is an abundant number, since it is smaller than the sum of its proper divisors (66496829508).

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

40382620092 is a wasteful number, since it uses less digits than its factorization.

40382620092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24432 (or 24424 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40382620092 in words is "forty billion, three hundred eighty-two million, six hundred twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 263 354 526 531 708 789 1052 1062 1578 1593 2124 2367 3156 3186 4734 6372 7101 9468 14202 15517 24097 28404 31034 46551 48194 62068 72291 93102 96388 139653 144582 186204 216873 279306 289164 418959 433746 558612 650619 837918 867492 1301238 1421723 1675836 2602476 2843446 4265169 5686892 6337511 8530338 12675022 12795507 17060676 19012533 25350044 25591014 38025066 38386521 51182028 57037599 76050132 76773042 114075198 153546084 171112797 228150396 342225594 373913149 684451188 747826298 1121739447 1495652596 2243478894 3365218341 4486957788 6730436682 10095655023 13460873364 20191310046 40382620092