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54465072270 = 23578311327653
BaseRepresentation
bin110010101110010111…
…110000110010001110
312012120202122100021220
4302232113300302032
51343021024303040
641004303304210
73635460322110
oct625627606216
9165522570256
1054465072270
112110a127a24
12a6802ab066
13519cb3761b
1428c97473b0
15163b8842d0
hexcae5f0c8e

54465072270 has 128 divisors (see below), whose sum is σ = 152533269504. Its totient is φ = 12189886464.

The previous prime is 54465072239. The next prime is 54465072281. The reversal of 54465072270 is 7227056445.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1955764 + ... + 1983416.

It is an arithmetic number, because the mean of its divisors is an integer number (1191666168).

Almost surely, 254465072270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54465072270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76266634752).

54465072270 is an abundant number, since it is smaller than the sum of its proper divisors (98068197234).

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

54465072270 is a wasteful number, since it uses less digits than its factorization.

54465072270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27866.

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 54465072270 in words is "fifty-four billion, four hundred sixty-five million, seventy-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 113 166 210 226 249 339 415 498 565 581 678 791 830 1130 1162 1245 1582 1695 1743 2373 2490 2905 3390 3486 3955 4746 5810 7910 8715 9379 11865 17430 18758 23730 27653 28137 46895 55306 56274 65653 82959 93790 131306 138265 140685 165918 193571 196959 276530 281370 328265 387142 393918 414795 580713 656530 829590 967855 984795 1161426 1935710 1969590 2295199 2903565 3124789 4590398 5807130 6249578 6885597 9374367 11475995 13771194 15623945 16066393 18748734 21873523 22951990 31247890 32132786 34427985 43747046 46871835 48199179 65620569 68855970 80331965 93743670 96398358 109367615 131241138 160663930 218735230 240995895 259357487 328102845 481991790 518714974 656205690 778072461 1296787435 1556144922 1815502409 2593574870 3631004818 3890362305 5446507227 7780724610 9077512045 10893014454 18155024090 27232536135 54465072270