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2139108972 = 22371113374813
BaseRepresentation
bin111111110000000…
…0011011001101100
312112002002222212020
41333200003121230
513340102441342
6552132310140
7104003061210
oct17740033154
95462088766
102139108972
119a8520260
124b8472350
13281231c70
1416414a940
15c7be00ec
hex7f80366c

2139108972 has 192 divisors, whose sum is σ = 6884097024. Its totient is φ = 498908160.

The previous prime is 2139108971. The next prime is 2139108989. The reversal of 2139108972 is 2798019312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2139108971) 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, 442038 + ... + 446850.

It is an arithmetic number, because the mean of its divisors is an integer number (35854672).

Almost surely, 22139108972 is an apocalyptic number.

2139108972 is a gapful number since it is divisible by the number (22) 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 2139108972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442048512).

2139108972 is an abundant number, since it is smaller than the sum of its proper divisors (4744988052).

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

2139108972 is a wasteful number, since it uses less digits than its factorization.

2139108972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 2139108972 is about 46250.5023972713. The cubic root of 2139108972 is about 1288.4798655294.

It can be divided in two parts, 2139 and 108972, that added together give a palindrome (111111).

The spelling of 2139108972 in words is "two billion, one hundred thirty-nine million, one hundred eight thousand, nine hundred seventy-two".