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40957964363052 = 223311172797725071
BaseRepresentation
bin10010101000000010001001…
…11010101010010100101100
312101000112122221212211101000
421110001010322222110230
520332023402334104202
6223035455025120300
711425054352553252
oct1124010472522454
9171015587784330
1040957964363052
11120611a2124840
124715b17489090
1319b141cb39a39
14a18539c605d2
154b0625de991c
hex254044eaa52c

40957964363052 has 192 divisors, whose sum is σ = 122698888058880. Its totient is φ = 11677223347200.

The previous prime is 40957964362969. The next prime is 40957964363059. The reversal of 40957964363052 is 25036346975904.

40957964363052 is a `hidden beast` number, since 4 + 0 + 9 + 579 + 6 + 4 + 3 + 6 + 3 + 0 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (40957964363059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56125677 + ... + 56850747.

It is an arithmetic number, because the mean of its divisors is an integer number (639056708640).

Almost surely, 240957964363052 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 40957964363052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61349444029440).

40957964363052 is an abundant number, since it is smaller than the sum of its proper divisors (81740923695828).

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

40957964363052 is a wasteful number, since it uses less digits than its factorization.

40957964363052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727909 (or 727901 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 40957964363052 in words is "forty trillion, nine hundred fifty-seven billion, nine hundred sixty-four million, three hundred sixty-three thousand, fifty-two".