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200274119136 = 253371331127647
BaseRepresentation
bin1011101010000101000…
…1001000100111100000
3201010221110002101021000
42322201101020213200
511240130133303021
6232001001232000
720316656632110
oct2724121104740
9633843071230
10200274119136
1177a32578a43
1232993492600
1315b69057b50
14999c679040
15532256eb26
hex2ea14489e0

200274119136 has 768 divisors, whose sum is σ = 749123665920. Its totient is φ = 50634823680.

The previous prime is 200274119099. The next prime is 200274119173. The reversal of 200274119136 is 631911472002.

200274119136 is a `hidden beast` number, since 200 + 2 + 7 + 411 + 9 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (200274119099) and next prime (200274119173).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 200274119136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 309542365 + ... + 309543011.

It is an arithmetic number, because the mean of its divisors is an integer number (975421440).

Almost surely, 2200274119136 is an apocalyptic number.

200274119136 is a gapful number since it is divisible by the number (26) 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 200274119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374561832960).

200274119136 is an abundant number, since it is smaller than the sum of its proper divisors (548849546784).

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

200274119136 is a wasteful number, since it uses less digits than its factorization.

200274119136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 200274119136 in words is "two hundred billion, two hundred seventy-four million, one hundred nineteen thousand, one hundred thirty-six".