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53006535945 = 335113294997
BaseRepresentation
bin110001010111011011…
…111000110100001001
312001211010011000121000
4301113123320310021
51332024133122240
640203442005213
73554360056446
oct612733706411
9161733130530
1053006535945
1120530898000
12a333946809
134cc990218c
1427cbb589cd
1515a37ca430
hexc576f8d09

53006535945 has 64 divisors (see below), whose sum is σ = 103650497280. Its totient is φ = 25700051520.

The previous prime is 53006535919. The next prime is 53006535983. The reversal of 53006535945 is 54953560035.

53006535945 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 6 + 53 + 594 + 5 = 666.

It is not a de Polignac number, because 53006535945 - 211 = 53006533897 is a prime.

It is a super-3 number, since 3×530065359453 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 53006535945.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 32187 + ... + 327183.

It is an arithmetic number, because the mean of its divisors is an integer number (1619539020).

Almost surely, 253006535945 is an apocalyptic number.

53006535945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53006535945 is a deficient number, since it is larger than the sum of its proper divisors (50643961335).

53006535945 is a wasteful number, since it uses less digits than its factorization.

53006535945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295044 (or 295016 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 53006535945 in words is "fifty-three billion, six million, five hundred thirty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 121 135 165 297 363 495 605 1089 1331 1485 1815 3267 3993 5445 6655 11979 16335 19965 35937 59895 179685 294997 884991 1474985 2654973 3244967 4424955 7964919 9734901 13274865 16224835 29204703 35694637 39824595 48674505 87614109 107083911 146023515 178473185 321251733 392641007 438070545 535419555 963755199 1177923021 1606258665 1963205035 3533769063 4818775995 5889615105 10601307189 17668845315 53006535945