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48453454650456 = 23326194789116387
BaseRepresentation
bin10110000010001011100101…
…11100111101110001011000
320100120002211120020101022100
423001011302330331301120
522322330133342303311
6251015113151123400
713130434530021042
oct1301056274756130
9210502746211270
1048453454650456
1114490aa3a75779
12552672bb13560
1321061ab1b882b
14bd72343a2a92
155905bb370a56
hex2c1172f3dc58

48453454650456 has 96 divisors (see below), whose sum is σ = 133381939906800. Its totient is φ = 15886074481920.

The previous prime is 48453454650449. The next prime is 48453454650487. The reversal of 48453454650456 is 65405645435484.

48453454650456 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 34 + 5 + 46 + 504 + 56 = 666.

48453454650456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48453454650393 and 48453454650402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416255095 + ... + 416371481.

Almost surely, 248453454650456 is an apocalyptic number.

It is an amenable number.

48453454650456 is an abundant number, since it is smaller than the sum of its proper divisors (84928485256344).

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

48453454650456 is a wasteful number, since it uses less digits than its factorization.

48453454650456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211249 (or 211242 counting only the distinct ones).

The product of its (nonzero) digits is 552960000, while the sum is 63.

The spelling of 48453454650456 in words is "forty-eight trillion, four hundred fifty-three billion, four hundred fifty-four million, six hundred fifty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 94789 116387 189578 232774 284367 349161 379156 465548 568734 698322 758312 853101 931096 1047483 1137468 1396644 1706202 2094966 2274936 2793288 3412404 4189932 5782129 6824808 7099607 8379864 11564258 14199214 17346387 21298821 23128516 28398428 34692774 42597642 46257032 52039161 56796856 63896463 69385548 85195284 104078322 127792926 138771096 170390568 208156644 255585852 416313288 511171704 11032207343 22064414686 33096622029 44128829372 66193244058 88257658744 99289866087 132386488116 198579732174 264772976232 397159464348 672964647923 794318928696 1345929295846 2018893943769 2691858591692 4037787887538 5383717183384 6056681831307 8075575775076 12113363662614 16151151550152 24226727325228 48453454650456