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54188125109382 = 23115316823920833
BaseRepresentation
bin11000101001000101001111…
…11100101011110010000110
321002212100000121102201000210
430110202213330223302012
524100304240012000012
6311125403033220250
714261651153446005
oct1424424774536206
9232770017381023
1054188125109382
11162a2066a40870
1260b2031561686
132430bc259b784
14d54a0d896c3c
1563e8567d323c
hex3148a7f2bc86

54188125109382 has 64 divisors (see below), whose sum is σ = 120466656815616. Its totient is φ = 16109845340160.

The previous prime is 54188125109381. The next prime is 54188125109383. The reversal of 54188125109382 is 28390152188145.

54188125109382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54188125109381) and next prime (54188125109383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54188125109381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58386438 + ... + 59307270.

It is an arithmetic number, because the mean of its divisors is an integer number (1882291512744).

Almost surely, 254188125109382 is an apocalyptic number.

54188125109382 is an abundant number, since it is smaller than the sum of its proper divisors (66278531706234).

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

54188125109382 is a wasteful number, since it uses less digits than its factorization.

54188125109382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937725.

The product of its (nonzero) digits is 5529600, while the sum is 57.

The spelling of 54188125109382 in words is "fifty-four trillion, one hundred eighty-eight billion, one hundred twenty-five million, one hundred nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 1166 1749 3498 16823 33646 50469 100938 185053 370106 555159 891619 920833 1110318 1783238 1841666 2674857 2762499 5349714 5524998 9807809 10129163 19615618 20258326 29423427 30387489 48804149 58846854 60774978 97608298 146412447 292824894 536845639 1073691278 1610536917 3221073834 15491173559 30982347118 46473520677 92947041354 170402909149 340805818298 511208727447 821032198627 1022417454894 1642064397254 2463096595881 4926193191762 9031354184897 18062708369794 27094062554691 54188125109382