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40773777436 = 22723213192087
BaseRepresentation
bin100101111110010011…
…100111100000011100
310220020121001111121001
4211332103213200130
51132001041334221
630421535320044
72642261250460
oct457623474034
9126217044531
1040773777436
1116323809527
127a9b080024
133aca483932
141d8b26c4a0
1510d98ce391
hex97e4e781c

40773777436 has 72 divisors (see below), whose sum is σ = 85352762880. Its totient is φ = 16694041056.

The previous prime is 40773777409. The next prime is 40773777463. The reversal of 40773777436 is 63477737704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40773777409) and next prime (40773777463).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19535985 + ... + 19538071.

It is an arithmetic number, because the mean of its divisors is an integer number (1185455040).

Almost surely, 240773777436 is an apocalyptic number.

40773777436 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40773777436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42676381440).

40773777436 is an abundant number, since it is smaller than the sum of its proper divisors (44578985444).

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

40773777436 is a wasteful number, since it uses less digits than its factorization.

40773777436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 14521248, while the sum is 55.

The spelling of 40773777436 in words is "forty billion, seven hundred seventy-three million, seven hundred seventy-seven thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 529 644 1058 1319 2087 2116 2638 3703 4174 5276 7406 8348 9233 14609 14812 18466 29218 30337 36932 48001 58436 60674 96002 121348 192004 212359 336007 424718 672014 697751 849436 1104023 1344028 1395502 2208046 2752753 2791004 4416092 4884257 5505506 7728161 9768514 11011012 15456322 19269271 19537028 30912644 38538542 63313319 77077084 126626638 253253276 443193233 886386466 1456206337 1772772932 2912412674 5824825348 10193444359 20386888718 40773777436