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5344363756944 = 243238325032
BaseRepresentation
bin100110111000101010011…
…1001110011110110010000
3200220220201220021111211100
41031301110321303312100
51200030224110210234
615211100010544400
71061055213253662
oct115612471636620
920826656244740
105344363756944
111780594016aa3
12723934738100
132c9c82058914
14146950858532
1594044a42399
hex4dc54e73d90

5344363756944 has 135 divisors (see below), whose sum is σ = 15025821731947. Its totient is φ = 1773270856128.

The previous prime is 5344363756903. The next prime is 5344363756951. The reversal of 5344363756944 is 4496573634435.

The square root of 5344363756944 is 2311788.

It is a perfect power (a square), and thus also a powerful number.

5344363756944 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 3 + 63 + 7 + 569 + 4 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10624977397 + ... + 10624977899.

Almost surely, 25344363756944 is an apocalyptic number.

5344363756944 is the 2311788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5344363756944

5344363756944 is an abundant number, since it is smaller than the sum of its proper divisors (9681457975003).

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

5344363756944 is an frugal number, since it uses more digits than its factorization.

5344363756944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 891 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 63.

The spelling of 5344363756944 in words is "five trillion, three hundred forty-four billion, three hundred sixty-three million, seven hundred fifty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 383 503 766 1006 1149 1509 1532 2012 2298 3018 3064 3447 4024 4527 4596 6036 6128 6894 8048 9054 9192 12072 13788 18108 18384 24144 27576 36216 55152 72432 146689 192649 253009 293378 385298 440067 506018 577947 586756 759027 770596 880134 1012036 1155894 1173512 1320201 1518054 1541192 1733841 1760268 2024072 2277081 2311788 2347024 2640402 3036108 3082384 3467682 3520536 4048144 4554162 4623576 5280804 6072216 6935364 7041072 9108324 9247152 10561608 12144432 13870728 18216648 21123216 27741456 36433296 73784567 96902447 147569134 193804894 221353701 290707341 295138268 387609788 442707402 581414682 590276536 664061103 775219576 872122023 885414804 1162829364 1180553072 1328122206 1550439152 1744244046 1770829608 2325658728 2656244412 3488488092 3541659216 4651317456 5312488824 6976976184 10624977648 13953952368 37113637201 74227274402 111340911603 148454548804 222681823206 296909097608 334022734809 445363646412 593818195216 668045469618 890727292824 1336090939236 1781454585648 2672181878472 5344363756944