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40026505632 = 25310911333851
BaseRepresentation
bin100101010001110001…
…000000000110100000
310211022111221011101120
4211101301000012200
51123433241140012
630215442532240
72614615453461
oct452161000640
9124274834346
1040026505632
1115a7aa12123
127910967080
133a0b702b79
141d19d0ad68
151093ec058c
hex951c401a0

40026505632 has 96 divisors (see below), whose sum is σ = 106975028160. Its totient is φ = 13102387200.

The previous prime is 40026505621. The next prime is 40026505633. The reversal of 40026505632 is 23650562004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 40026505593 and 40026505602.

It is not an unprimeable number, because it can be changed into a prime (40026505633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1165507 + ... + 1199357.

It is an arithmetic number, because the mean of its divisors is an integer number (1114323210).

Almost surely, 240026505632 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 40026505632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53487514080).

40026505632 is an abundant number, since it is smaller than the sum of its proper divisors (66948522528).

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

40026505632 is a wasteful number, since it uses less digits than its factorization.

40026505632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34086 (or 34078 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 40026505632 in words is "forty billion, twenty-six million, five hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 113 218 226 327 339 436 452 654 678 872 904 1308 1356 1744 1808 2616 2712 3488 3616 5232 5424 10464 10848 12317 24634 33851 36951 49268 67702 73902 98536 101553 135404 147804 197072 203106 270808 295608 394144 406212 541616 591216 812424 1083232 1182432 1624848 3249696 3689759 3825163 7379518 7650326 11069277 11475489 14759036 15300652 22138554 22950978 29518072 30601304 44277108 45901956 59036144 61202608 88554216 91803912 118072288 122405216 177108432 183607824 354216864 367215648 416942767 833885534 1250828301 1667771068 2501656602 3335542136 5003313204 6671084272 10006626408 13342168544 20013252816 40026505632