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41780070900 = 2232521929173487
BaseRepresentation
bin100110111010010010…
…010100100111110100
310222211201120111201100
4212322102110213310
51141031144232100
631105443530100
73006230512611
oct467222244764
9128751514640
1041780070900
111679a840717
128120089930
133c2aab5559
142044b77508
151147e05400
hex9ba4949f4

41780070900 has 432 divisors, whose sum is σ = 143722051200. Its totient is φ = 10111288320.

The previous prime is 41780070869. The next prime is 41780070907. The reversal of 41780070900 is 907008714.

41780070900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41780070907) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85790457 + ... + 85790943.

Almost surely, 241780070900 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 41780070900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71861025600).

41780070900 is an abundant number, since it is smaller than the sum of its proper divisors (101941980300).

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

41780070900 is a wasteful number, since it uses less digits than its factorization.

41780070900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 41780070900 in words is "forty-one billion, seven hundred eighty million, seventy thousand, nine hundred".