Search a number
-
+
379820987136 = 28331723313873
BaseRepresentation
bin1011000011011110001…
…10000101001100000000
31100022101101012022021000
411201233012011030000
522210333133042021
6450253133532000
736304214056503
oct5415706051400
91308341168230
10379820987136
11137099055368
1261741344000
1329a80b46c46
14145521dd13a
159d300bbb26
hex586f185300

379820987136 has 288 divisors, whose sum is σ = 1194458166720. Its totient is φ = 118639558656.

The previous prime is 379820987131. The next prime is 379820987141. The reversal of 379820987136 is 631789028973.

379820987136 is a `hidden beast` number, since 379 + 82 + 0 + 98 + 71 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (379820987131) and next prime (379820987141).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (379820987131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27371496 + ... + 27385368.

It is an arithmetic number, because the mean of its divisors is an integer number (4147424190).

Almost surely, 2379820987136 is an apocalyptic number.

379820987136 is a gapful number since it is divisible by the number (36) 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 379820987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597229083360).

379820987136 is an abundant number, since it is smaller than the sum of its proper divisors (814637179584).

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

379820987136 is a wasteful number, since it uses less digits than its factorization.

379820987136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14148 (or 14128 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 379820987136 in words is "three hundred seventy-nine billion, eight hundred twenty million, nine hundred eighty-seven thousand, one hundred thirty-six".