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54372551409 = 32112172936993
BaseRepresentation
bin110010101000110110…
…110100101011110001
312012100022112210112100
4302220312310223301
51342323333121114
640551200251013
73633255030021
oct625066645361
9165308483470
1054372551409
1121071984700
12a655310a69
135186912157
1428bb341a81
1516336aa909
hexca8db4af1

54372551409 has 36 divisors (see below), whose sum is σ = 91405127268. Its totient is φ = 31014635520.

The previous prime is 54372551381. The next prime is 54372551413. The reversal of 54372551409 is 90415527345.

54372551409 is a `hidden beast` number, since 54 + 3 + 7 + 2 + 551 + 40 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23597568225 + 30774983184 = 153615^2 + 175428^2 .

It is not a de Polignac number, because 54372551409 - 220 = 54371502833 is a prime.

It is a super-3 number, since 3×543725514093 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54372551449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1449984 + ... + 1487009.

It is an arithmetic number, because the mean of its divisors is an integer number (2539031313).

Almost surely, 254372551409 is an apocalyptic number.

It is an amenable number.

54372551409 is a deficient number, since it is larger than the sum of its proper divisors (37032575859).

54372551409 is a wasteful number, since it uses less digits than its factorization.

54372551409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937038 (or 2937024 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 54372551409 in words is "fifty-four billion, three hundred seventy-two million, five hundred fifty-one thousand, four hundred nine".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2057 6171 18513 2936993 8810979 26432937 32306923 49928881 96920769 149786643 290762307 355376153 449359929 549217691 1066128459 1647653073 3198385377 4942959219 6041394601 18124183803 54372551409