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40736104008 = 23337435320129
BaseRepresentation
bin100101111100000011…
…111001111001001000
310220010222011111100220
4211330003321321020
51131411420312013
630414112030040
72641323112425
oct457403717110
9126128144326
1040736104008
1116304517966
127a8a532320
133ac2723072
141d86262d4c
1510d643bb23
hex97c0f9e48

40736104008 has 128 divisors (see below), whose sum is σ = 109049846400. Its totient is φ = 12660350976.

The previous prime is 40736103997. The next prime is 40736104043. The reversal of 40736104008 is 80040163704.

40736104008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40736104008.

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, 2013688 + ... + 2033816.

It is an arithmetic number, because the mean of its divisors is an integer number (851951925).

Almost surely, 240736104008 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 40736104008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54524923200).

40736104008 is an abundant number, since it is smaller than the sum of its proper divisors (68313742392).

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

40736104008 is a wasteful number, since it uses less digits than its factorization.

40736104008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20271 (or 20267 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 40736104008 in words is "forty billion, seven hundred thirty-six million, one hundred four thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 37 43 53 74 86 106 111 129 148 159 172 212 222 258 296 318 344 424 444 516 636 888 1032 1272 1591 1961 2279 3182 3922 4558 4773 5883 6364 6837 7844 9116 9546 11766 12728 13674 15688 18232 19092 20129 23532 27348 38184 40258 47064 54696 60387 80516 84323 120774 161032 168646 241548 252969 337292 483096 505938 674584 744773 865547 1011876 1066837 1489546 1731094 2023752 2133674 2234319 2596641 2979092 3200511 3462188 4267348 4468638 5193282 5958184 6401022 6924376 8534696 8937276 10386564 12802044 17874552 20773128 25604088 32025239 39472969 45873991 64050478 78945938 91747982 96075717 118418907 128100956 137621973 157891876 183495964 192151434 236837814 256201912 275243946 315783752 366991928 384302868 473675628 550487892 768605736 947351256 1100975784 1697337667 3394675334 5092013001 6789350668 10184026002 13578701336 20368052004 40736104008