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40956847848 = 23327177960509
BaseRepresentation
bin100110001001001101…
…111110011011101000
310220201100112102222200
4212021031332123220
51132334423112343
630452035220200
72646643314450
oct461115763350
9126640472880
1040956847848
1116408088a94
127b30447660
133b29391217
141da76c4d60
1510ea9e24d3
hex98937e6e8

40956847848 has 192 divisors, whose sum is σ = 135929664000. Its totient is φ = 10874013696.

The previous prime is 40956847847. The next prime is 40956847889. The reversal of 40956847848 is 84874865904.

It is a super-2 number, since 2×409568478482 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40956847843) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 646618 + ... + 707126.

It is an arithmetic number, because the mean of its divisors is an integer number (707967000).

Almost surely, 240956847848 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 40956847848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67964832000).

40956847848 is an abundant number, since it is smaller than the sum of its proper divisors (94972816152).

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

40956847848 is a wasteful number, since it uses less digits than its factorization.

40956847848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60624 (or 60617 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 40956847848 in words is "forty billion, nine hundred fifty-six million, eight hundred forty-seven thousand, eight hundred forty-eight".