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1187024148401 = 713219293180241
BaseRepresentation
bin10001010001100000001…
…001110001011110110001
311012110220202100112220012
4101101200021301132301
5123422011140222101
62305151131024305
7151521364532630
oct21214011613661
94173822315805
101187024148401
114184612057a3
12172077b9b095
1387c2221c700
1441649087517
1520d25958bbb
hex114602717b1

1187024148401 has 48 divisors (see below), whose sum is σ = 1551580813440. Its totient is φ = 886711587840.

The previous prime is 1187024148361. The next prime is 1187024148403. The reversal of 1187024148401 is 1048414207811.

It is a de Polignac number, because none of the positive numbers 2k-1187024148401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1187024148403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6495641 + ... + 6675881.

It is an arithmetic number, because the mean of its divisors is an integer number (32324600280).

Almost surely, 21187024148401 is an apocalyptic number.

It is an amenable number.

1187024148401 is a deficient number, since it is larger than the sum of its proper divisors (364556665039).

1187024148401 is a wasteful number, since it uses less digits than its factorization.

1187024148401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180586 (or 180573 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 41.

The spelling of 1187024148401 in words is "one trillion, one hundred eighty-seven billion, twenty-four million, one hundred forty-eight thousand, four hundred one".

Divisors: 1 7 13 19 91 133 169 247 293 1183 1729 2051 3211 3809 5567 22477 26663 38969 49517 72371 180241 346619 506597 940823 1261687 2343133 3424579 6585761 16401931 23972053 30460729 44519527 52810613 213225103 311636689 369674291 578753851 686537969 1003401647 4051276957 4805765783 7023811529 8924993597 13044221411 62474955179 91309549877 169574878343 1187024148401