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45467078816 = 2517293777893
BaseRepresentation
bin101010010110000011…
…001001000010100000
311100100200022220202002
4222112003021002200
51221104033010231
632515353143132
73166500536045
oct522603110240
9140320286662
1045467078816
1118311a872a5
12898a9baaa8
13439790a743
1422b46d51cc
1512b19520cb
hexa960c90a0

45467078816 has 96 divisors (see below), whose sum is σ = 100698247440. Its totient is φ = 20099874816.

The previous prime is 45467078801. The next prime is 45467078837. The reversal of 45467078816 is 61887076454.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43405555600 + 2061523216 = 208340^2 + 45404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544766 + ... + 622658.

Almost surely, 245467078816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45467078816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50349123720).

45467078816 is an abundant number, since it is smaller than the sum of its proper divisors (55231168624).

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

45467078816 is a wasteful number, since it uses less digits than its factorization.

45467078816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77986 (or 77978 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 45467078816 in words is "forty-five billion, four hundred sixty-seven million, seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 29 32 34 37 58 68 74 116 136 148 232 272 296 464 493 544 592 629 928 986 1073 1184 1258 1972 2146 2516 3944 4292 5032 7888 8584 10064 15776 17168 18241 20128 34336 36482 72964 77893 145928 155786 291856 311572 583712 623144 1246288 1324181 2258897 2492576 2648362 2882041 4517794 5296724 5764082 9035588 10593448 11528164 18071176 21186896 23056328 36142352 38401249 42373792 46112656 48994697 72284704 76802498 83579189 92225312 97989394 153604996 167158378 195978788 307209992 334316756 391957576 614419984 668633512 783915152 1228839968 1337267024 1420846213 1567830304 2674534048 2841692426 5683384852 11366769704 22733539408 45467078816