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100489167840 = 25351712919539
BaseRepresentation
bin101110110010110011…
…1110000001111100000
3100121101021002122101010
41131211213300033200
53121300211332330
6114055235340520
710155133555545
oct1354547601740
9317337078333
10100489167840
1139687574146
1217585751740
139625c71279
144c13dd6bcc
1529321633b0
hex17659f03e0

100489167840 has 192 divisors, whose sum is σ = 335455706880. Its totient is φ = 25198632960.

The previous prime is 100489167809. The next prime is 100489167841. The reversal of 100489167840 is 48761984001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100489167840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100489167841) 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, 10529791 + ... + 10539329.

It is an arithmetic number, because the mean of its divisors is an integer number (1747165140).

Almost surely, 2100489167840 is an apocalyptic number.

100489167840 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 100489167840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167727853440).

100489167840 is an abundant number, since it is smaller than the sum of its proper divisors (234966539040).

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

100489167840 is a wasteful number, since it uses less digits than its factorization.

100489167840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10865 (or 10857 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 100489167840 in words is "one hundred billion, four hundred eighty-nine million, one hundred sixty-seven thousand, eight hundred forty".