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50214598656 = 211315752057
BaseRepresentation
bin101110110001000001…
…011111100000000000
311210121112121220122020
4232301001133200000
51310314414124111
635022425041440
73425236021545
oct566101374000
9153545556566
1050214598656
111a328917212
129894926280
134973368a91
142605032bcc
15148d634906
hexbb105f800

50214598656 has 96 divisors (see below), whose sum is σ = 134728186320. Its totient is φ = 16631267328.

The previous prime is 50214598633. The next prime is 50214598663. The reversal of 50214598656 is 65689541205.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 50214598599 and 50214598608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 938580 + ... + 990636.

Almost surely, 250214598656 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 50214598656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67364093160).

50214598656 is an abundant number, since it is smaller than the sum of its proper divisors (84513587664).

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

50214598656 is a wasteful number, since it uses less digits than its factorization.

50214598656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52239 (or 52219 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 50214598656 in words is "fifty billion, two hundred fourteen million, five hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 512 628 768 942 1024 1256 1536 1884 2048 2512 3072 3768 5024 6144 7536 10048 15072 20096 30144 40192 52057 60288 80384 104114 120576 156171 160768 208228 241152 312342 321536 416456 482304 624684 832912 964608 1249368 1665824 2498736 3331648 4997472 6663296 8172949 9994944 13326592 16345898 19989888 24518847 26653184 32691796 39979776 49037694 53306368 65383592 79959552 98075388 106612736 130767184 159919104 196150776 261534368 319838208 392301552 523068736 784603104 1046137472 1569206208 2092274944 3138412416 4184549888 6276824832 8369099776 12553649664 16738199552 25107299328 50214598656