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40785116520 = 233519314011439
BaseRepresentation
bin100101111110111110…
…110111110101101000
310220021101101120220010
4211332332313311220
51132011442212040
630423022331520
72642456525151
oct457676676550
9126241346803
1040785116520
111632a153775
127aa2a29ba0
133acc923b55
141d8c980928
1510da8bde80
hex97efb7d68

40785116520 has 256 divisors, whose sum is σ = 133373952000. Its totient is φ = 9939456000.

The previous prime is 40785116507. The next prime is 40785116563. The reversal of 40785116520 is 2561158704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28341961 + ... + 28343399.

It is an arithmetic number, because the mean of its divisors is an integer number (520992000).

Almost surely, 240785116520 is an apocalyptic number.

40785116520 is a gapful number since it is divisible by the number (40) 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 40785116520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66686976000).

40785116520 is an abundant number, since it is smaller than the sum of its proper divisors (92588835480).

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

40785116520 is a wasteful number, since it uses less digits than its factorization.

40785116520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 40785116520 in words is "forty billion, seven hundred eighty-five million, one hundred sixteen thousand, five hundred twenty".