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2154992974200 = 23335211172134079
BaseRepresentation
bin11111010110111111100…
…101110011100101111000
321122000102011110201211000
4133112333211303211320
5240301411200133300
64325553510205000
7311456510022303
oct37267745634570
97560364421730
102154992974200
11760a223983a0
122a979a953760
131282a4382521
14764333d3b3a
153b0ca0c6c00
hex1f5bf973978

2154992974200 has 384 divisors, whose sum is σ = 8573879808000. Its totient is φ = 491691571200.

The previous prime is 2154992974193. The next prime is 2154992974213. The reversal of 2154992974200 is 24792994512.

It is a happy number.

2154992974200 is a `hidden beast` number, since 2 + 1 + 5 + 49 + 92 + 97 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57240 + ... + 2076839.

It is an arithmetic number, because the mean of its divisors is an integer number (22327812000).

Almost surely, 22154992974200 is an apocalyptic number.

2154992974200 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 2154992974200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286939904000).

2154992974200 is an abundant number, since it is smaller than the sum of its proper divisors (6418886833800).

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

2154992974200 is a wasteful number, since it uses less digits than its factorization.

2154992974200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134132 (or 2134117 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2154992974200 in words is "two trillion, one hundred fifty-four billion, nine hundred ninety-two million, nine hundred seventy-four thousand, two hundred".