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5499999945 = 32511273101137
BaseRepresentation
bin1010001111101001…
…10101011011001001
3112012022012221112200
411013310311123021
542230444444240
62305432030413
7253203141156
oct50764653311
915168187480
105499999945
112372674400
121095b32409
1369861394b
143a265722d
15222cbe930
hex147d356c9

5499999945 has 144 divisors (see below), whose sum is σ = 10805807376. Its totient is φ = 2585088000.

The previous prime is 5499999893. The next prime is 5499999949.

5499999945 is a `hidden beast` number, since 5 + 499 + 9 + 9 + 99 + 45 = 666.

5499999945 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 480135744 + 5019864201 = 21912^2 + 70851^2 .

It is not a de Polignac number, because 5499999945 - 29 = 5499999433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5499999949) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40145917 + ... + 40146053.

It is an arithmetic number, because the mean of its divisors is an integer number (75040329).

Almost surely, 25499999945 is an apocalyptic number.

5499999945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5499999945 is a deficient number, since it is larger than the sum of its proper divisors (5305807431).

5499999945 is a wasteful number, since it uses less digits than its factorization.

5499999945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its digits is 212576400, while the sum is 72.

The square root of 5499999945 is about 74161.9845001467. The cubic root of 5499999945 is about 1765.1741617791.

It can be divided in two parts, 54 and 99999945, that added together give a palindrome (99999999).

The spelling of 5499999945 in words is "five billion, four hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 73 99 101 121 137 165 219 303 363 365 411 495 505 605 657 685 803 909 1089 1095 1111 1233 1507 1515 1815 2055 2409 3285 3333 4015 4521 4545 5445 5555 6165 7227 7373 7535 8833 9999 10001 12045 12221 13563 13837 16577 16665 22119 22605 26499 30003 36135 36663 36865 41511 44165 49731 49995 50005 61105 66357 67815 69185 79497 81103 82885 90009 109989 110011 110595 124533 132495 149193 150015 152207 183315 207555 243309 248655 330033 331785 397485 405515 450045 456621 549945 550055 622665 729927 745965 761035 892133 990099 1010101 1210121 1216545 1369863 1650165 1674277 2283105 2676399 3030303 3630363 3649635 4460665 4950495 5022831 5050505 6050605 6849315 8029197 8371385 9090909 10891089 11111111 13381995 15068493 15151515 18151815 25114155 33333333 40145985 45454545 54455445 55555555 75342465 99999999 122222221 166666665 366666663 499999995 611111105 1099999989 1833333315 5499999945