Search a number
-
+
54451221120 = 273259453337
BaseRepresentation
bin110010101101100010…
…111011001010000000
312012112210120122002100
4302231202323022000
51343004003033440
641003050350400
73635231512542
oct625542731200
9165483518070
1054451221120
112110232739a
12a67772b400
135199cc7b8a
1428c797d692
15163a54a230
hexcad8bb280

54451221120 has 96 divisors (see below), whose sum is σ = 188026892820. Its totient is φ = 14520324096.

The previous prime is 54451221107. The next prime is 54451221133. The reversal of 54451221120 is 2112215445.

It is a happy number.

54451221120 is a `hidden beast` number, since 5 + 4 + 4 + 512 + 21 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (54451221107) and next prime (54451221133).

It can be written as a sum of positive squares in 2 ways, for example, as 54117647424 + 333573696 = 232632^2 + 18264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×544512211203 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4720909 + ... + 4732428.

Almost surely, 254451221120 is an apocalyptic number.

It is an amenable number.

54451221120 is an abundant number, since it is smaller than the sum of its proper divisors (133575671700).

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

54451221120 is a wasteful number, since it uses less digits than its factorization.

54451221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453362 (or 9453347 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 54451221120 its reverse (2112215445), we get a palindrome (56563436565).

The spelling of 54451221120 in words is "fifty-four billion, four hundred fifty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9453337 18906674 28360011 37813348 47266685 56720022 75626696 85080033 94533370 113440044 141800055 151253392 170160066 189066740 226880088 283600110 302506784 340320132 378133480 425400165 453760176 567200220 605013568 680640264 756266960 850800330 907520352 1134400440 1210027136 1361280528 1512533920 1701600660 1815040704 2268800880 2722561056 3025067840 3403201320 3630081408 4537601760 5445122112 6050135680 6806402640 9075203520 10890244224 13612805280 18150407040 27225610560 54451221120