Search a number
-
+
50438810592 = 253374378571
BaseRepresentation
bin101110111110011000…
…110010101111100000
311211012011112001121000
4232332120302233200
51311244313414332
635100554432000
73433630546632
oct567630625740
9154164461530
1050438810592
111a433436a35
129937a32600
1349aa94c671
142626b18a52
1514a3172b7c
hexbbe632be0

50438810592 has 96 divisors (see below), whose sum is σ = 147313071360. Its totient is φ = 16790094720.

The previous prime is 50438810573. The next prime is 50438810621. The reversal of 50438810592 is 29501883405.

50438810592 is a `hidden beast` number, since 5 + 0 + 43 + 8 + 8 + 10 + 592 = 666.

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

It is a super-2 number, since 2×504388105922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 602667 + ... + 681237.

It is an arithmetic number, because the mean of its divisors is an integer number (1534511160).

Almost surely, 250438810592 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 50438810592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656535680).

50438810592 is an abundant number, since it is smaller than the sum of its proper divisors (96874260768).

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

50438810592 is a wasteful number, since it uses less digits than its factorization.

50438810592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79333 (or 79319 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 50438810592 in words is "fifty billion, four hundred thirty-eight million, eight hundred ten thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 743 864 1486 2229 2972 4458 5944 6687 8916 11888 13374 17832 20061 23776 26748 35664 40122 53496 71328 78571 80244 106992 157142 160488 213984 235713 314284 320976 471426 628568 641952 707139 942852 1257136 1414278 1885704 2121417 2514272 2828556 3771408 4242834 5657112 7542816 8485668 11314224 16971336 22628448 33942672 58378253 67885344 116756506 175134759 233513012 350269518 467026024 525404277 700539036 934052048 1050808554 1401078072 1576212831 1868104096 2101617108 2802156144 3152425662 4203234216 5604312288 6304851324 8406468432 12609702648 16812936864 25219405296 50438810592