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2136453635400 = 233527349121143
BaseRepresentation
bin11111000101101110100…
…011110101110101001000
321120020120010102202001020
4133011232203311311020
5240000424112313100
64313250115552440
7310232212161000
oct37055643656510
97506503382036
102136453635400
1175407941a797
122a6085bbb720
1312660b4a5276
14755950d1000
153a8926d45a0
hex1f16e8f5d48

2136453635400 has 384 divisors, whose sum is σ = 7739718912000. Its totient is φ = 487314643200.

The previous prime is 2136453635357. The next prime is 2136453635443. The reversal of 2136453635400 is 45363546312.

It is an interprime number because it is at equal distance from previous prime (2136453635357) and next prime (2136453635443).

It is a super-2 number, since 2×21364536354002 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 101037229 + ... + 101058371.

It is an arithmetic number, because the mean of its divisors is an integer number (20155518000).

Almost surely, 22136453635400 is an apocalyptic number.

2136453635400 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 2136453635400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869859456000).

2136453635400 is an abundant number, since it is smaller than the sum of its proper divisors (5603265276600).

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

2136453635400 is a wasteful number, since it uses less digits than its factorization.

2136453635400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21674 (or 21651 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 2136453635400 in words is "two trillion, one hundred thirty-six billion, four hundred fifty-three million, six hundred thirty-five thousand, four hundred".