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2139188480 = 285111322931
BaseRepresentation
bin111111110000001…
…0110110100000000
312112002021000220222
41333200112310000
513340113012410
6552134122212
7104003542052
oct17740266400
95462230828
102139188480
119a8574a70
124b84b0368
1328125c200
1416416b8d2
15c7c08955
hex7f816d00

2139188480 has 432 divisors, whose sum is σ = 6463618560. Its totient is φ = 670924800.

The previous prime is 2139188459. The next prime is 2139188507. The reversal of 2139188480 is 848819312.

It is a super-2 number, since 2×21391884802 = 9152254705929420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69006065 + ... + 69006095.

It is an arithmetic number, because the mean of its divisors is an integer number (14962080).

Almost surely, 22139188480 is an apocalyptic number.

2139188480 is a gapful number since it is divisible by the number (20) 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 2139188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231809280).

2139188480 is an abundant number, since it is smaller than the sum of its proper divisors (4324430080).

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

2139188480 is a wasteful number, since it uses less digits than its factorization.

2139188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 2139188480 is about 46251.3619258936. The cubic root of 2139188480 is about 1288.4958290590.

The spelling of 2139188480 in words is "two billion, one hundred thirty-nine million, one hundred eighty-eight thousand, four hundred eighty".