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2132136618150 = 235271129411071451
BaseRepresentation
bin11111000001101101001…
…111101110100010100110
321112211102021012112200110
4133001231033232202212
5234413103433240100
64311253503153450
7310020222140610
oct37015517564246
97484367175613
102132136618150
11752263599840
122a52802a5886
131260a0ca81a6
14752a5a17db0
153a6dd6dd250
hex1f06d3ee8a6

2132136618150 has 768 divisors, whose sum is σ = 7056268369920. Its totient is φ = 413145600000.

The previous prime is 2132136618149. The next prime is 2132136618151. The reversal of 2132136618150 is 518166312312.

It is an interprime number because it is at equal distance from previous prime (2132136618149) and next prime (2132136618151).

It is a super-2 number, since 2×21321366181502 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2132136618099 and 2132136618108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132136618151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1469424925 + ... + 1469426375.

It is an arithmetic number, because the mean of its divisors is an integer number (9187849440).

Almost surely, 22132136618150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132136618150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528134184960).

2132136618150 is an abundant number, since it is smaller than the sum of its proper divisors (4924131751770).

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

2132136618150 is a wasteful number, since it uses less digits than its factorization.

2132136618150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 2132136618150 in words is "two trillion, one hundred thirty-two billion, one hundred thirty-six million, six hundred eighteen thousand, one hundred fifty".