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2137621140420 = 2235474318232137
BaseRepresentation
bin11111000110110100001…
…001100001001111000100
321120100120111022010211220
4133012310021201033010
5240010322002443140
64314002023400340
7310303146616503
oct37066411411704
97510514263756
102137621140420
11754618451577
122a6350bb30b0
1312676632cc3c
14756661a283a
153a90ee51bd0
hex1f1b42613c4

2137621140420 has 192 divisors, whose sum is σ = 6137184485376. Its totient is φ = 555673052160.

The previous prime is 2137621140397. The next prime is 2137621140427. The reversal of 2137621140420 is 240411267312.

It is not an unprimeable number, because it can be changed into a prime (2137621140427) 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 63 ways as a sum of consecutive naturals, for example, 1000289592 + ... + 1000291728.

It is an arithmetic number, because the mean of its divisors is an integer number (31964502528).

Almost surely, 22137621140420 is an apocalyptic number.

2137621140420 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 2137621140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068592242688).

2137621140420 is an abundant number, since it is smaller than the sum of its proper divisors (3999563344956).

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

2137621140420 is a wasteful number, since it uses less digits than its factorization.

2137621140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 2137621140420 in words is "two trillion, one hundred thirty-seven billion, six hundred twenty-one million, one hundred forty thousand, four hundred twenty".