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54412882095 = 35111337709967
BaseRepresentation
bin110010101011010000…
…101011000010101111
312012110010102210211110
4302223100223002233
51342414144211340
640555200523103
73634254603135
oct625320530257
9165403383743
1054412882095
1121092720750
12a666920493
135192093370
1428c283d755
151636ec5680
hexcab42b0af

54412882095 has 128 divisors (see below), whose sum is σ = 105302292480. Its totient is φ = 23636551680.

The previous prime is 54412882087. The next prime is 54412882099. The reversal of 54412882095 is 59028821445.

54412882095 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54412882095 - 23 = 54412882087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54412882099) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56269302 + ... + 56270268.

It is an arithmetic number, because the mean of its divisors is an integer number (822674160).

Almost surely, 254412882095 is an apocalyptic number.

54412882095 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54412882095 is a deficient number, since it is larger than the sum of its proper divisors (50889410385).

54412882095 is a wasteful number, since it uses less digits than its factorization.

54412882095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745.

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 54412882095 in words is "fifty-four billion, four hundred twelve million, eight hundred eighty-two thousand, ninety-five".

Divisors: 1 3 5 11 13 15 33 37 39 55 65 111 143 165 185 195 407 429 481 555 709 715 967 1221 1443 2035 2127 2145 2405 2901 3545 4835 5291 6105 7215 7799 9217 10635 10637 12571 14505 15873 23397 26233 26455 27651 31911 35779 37713 38995 46085 53185 62855 78699 79365 101387 107337 116985 131165 138255 138281 159555 178895 188565 288563 304161 341029 393495 393569 414843 465127 506935 536685 685603 691405 865689 1023087 1180707 1395381 1442815 1520805 1705145 1967845 2056809 2074215 2325635 3428015 3751319 4328445 5115435 5116397 5903535 6976905 7541633 8912839 10284045 11253957 15349191 18756595 22624899 25367311 25581985 26738517 37708165 44564195 56269785 76101933 76745955 98041229 113124495 126836555 133692585 279040421 294123687 329775043 380509665 490206145 837121263 989325129 1395202105 1470618435 1648875215 3627525473 4185606315 4946625645 10882576419 18137627365 54412882095