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40547297648 = 24111397118251
BaseRepresentation
bin100101110000110011…
…101010100101110000
310212122210220010201202
4211300303222211300
51131020102011043
630343245150332
72633541225524
oct456063524560
9125583803652
1040547297648
111621798a950
127a3725b3a8
133a92587a20
141d69155d84
1510c4a941b8
hex970cea970

40547297648 has 80 divisors (see below), whose sum is σ = 92394836352. Its totient is φ = 16994400000.

The previous prime is 40547297591. The next prime is 40547297653. The reversal of 40547297648 is 84679274504.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40547297593 and 40547297602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2212523 + ... + 2230773.

Almost surely, 240547297648 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 40547297648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46197418176).

40547297648 is an abundant number, since it is smaller than the sum of its proper divisors (51847538704).

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

40547297648 is a wasteful number, since it uses less digits than its factorization.

40547297648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19254 (or 19248 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 40547297648 in words is "forty billion, five hundred forty-seven million, two hundred ninety-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 971 1144 1942 2288 3884 7768 10681 12623 15536 18251 21362 25246 36502 42724 50492 73004 85448 100984 138853 146008 170896 200761 201968 237263 277706 292016 401522 474526 555412 803044 949052 1110824 1606088 1898104 2221648 2609893 3212176 3796208 5219786 10439572 17721721 20879144 35443442 41758288 70886884 141773768 194938931 230382373 283547536 389877862 460764746 779755724 921529492 1559511448 1843058984 2534206103 3119022896 3686117968 5068412206 10136824412 20273648824 40547297648