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1918606390272 = 2103311133731301
BaseRepresentation
bin11011111010110101110…
…110100011010000000000
320210102020222102001211000
4123322311312203100000
5222413301213442042
64025221241252000
7255420566144235
oct33726566432000
96712228361730
101918606390272
1167a749320130
1226ba09494000
1310bc017aa620
1468c0a9c778c
1534d924cc74c
hex1beb5da3400

1918606390272 has 704 divisors, whose sum is σ = 6698378776320. Its totient is φ = 534822912000.

The previous prime is 1918606390249. The next prime is 1918606390279. The reversal of 1918606390272 is 2720936068191.

1918606390272 is a `hidden beast` number, since 1 + 9 + 1 + 8 + 606 + 3 + 9 + 0 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918606390279) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1474716022 + ... + 1474717322.

It is an arithmetic number, because the mean of its divisors is an integer number (9514742580).

Almost surely, 21918606390272 is an apocalyptic number.

1918606390272 is a gapful number since it is divisible by the number (12) 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 1918606390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349189388160).

1918606390272 is an abundant number, since it is smaller than the sum of its proper divisors (4779772386048).

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

1918606390272 is a wasteful number, since it uses less digits than its factorization.

1918606390272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1918606390272 in words is "one trillion, nine hundred eighteen billion, six hundred six million, three hundred ninety thousand, two hundred seventy-two".