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920150769408 = 28313313523563
BaseRepresentation
bin11010110001111010100…
…00100111111100000000
310020222001220000020020020
431120331100213330000
5110033432044110113
61542413400213440
7123323123330253
oct15307520477400
93228056006206
10920150769408
11325263137132
1212a3b876a280
1368a01471bc0
143276d71709a
1518e0662a023
hexd63d427f00

920150769408 has 288 divisors, whose sum is σ = 2655516267264. Its totient is φ = 281178832896.

The previous prime is 920150769353. The next prime is 920150769409. The reversal of 920150769408 is 804967051029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920150769409) 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 31 ways as a sum of consecutive naturals, for example, 1634370535 + ... + 1634371097.

Almost surely, 2920150769408 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 920150769408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327758133632).

920150769408 is an abundant number, since it is smaller than the sum of its proper divisors (1735365497856).

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

920150769408 is a wasteful number, since it uses less digits than its factorization.

920150769408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 920150769408 in words is "nine hundred twenty billion, one hundred fifty million, seven hundred sixty-nine thousand, four hundred eight".