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100490150880 = 2533574018287
BaseRepresentation
bin101110110010110101…
…1100000001111100000
3100121101022221120212000
41131211223200033200
53121300434312010
6114055312404000
710155145121550
oct1354553401740
9317338846760
10100490150880
1139688085779
1217585b46600
139626226852
144c141b1160
1529322a97c0
hex1765ae03e0

100490150880 has 384 divisors, whose sum is σ = 403011624960. Its totient is φ = 22909132800.

The previous prime is 100490150867. The next prime is 100490150881. The reversal of 100490150880 is 88051094001.

100490150880 is a `hidden beast` number, since 10 + 0 + 490 + 150 + 8 + 8 + 0 = 666.

100490150880 is digitally balanced in base 3, 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 (100490150881) 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, 12122097 + ... + 12130383.

It is an arithmetic number, because the mean of its divisors is an integer number (1049509440).

Almost surely, 2100490150880 is an apocalyptic number.

100490150880 is a gapful number since it is divisible by the number (10) 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 100490150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201505812480).

100490150880 is an abundant number, since it is smaller than the sum of its proper divisors (302521474080).

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

100490150880 is a wasteful number, since it uses less digits than its factorization.

100490150880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8719 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 100490150880 in words is "one hundred billion, four hundred ninety million, one hundred fifty thousand, eight hundred eighty".