Search a number
-
+
192201694944 = 25371109257903
BaseRepresentation
bin1011001100000000011…
…1010001111011100000
3200101002212101202001020
42303000013101323200
511122112113214234
6224143553205440
716612636310520
oct2630007217340
9611085352036
10192201694944
117456a934196
12312bbb60880
131518080799c
14943451b680
154eeda1a549
hex2cc01d1ee0

192201694944 has 96 divisors (see below), whose sum is σ = 577127255040. Its totient is φ = 54865039872.

The previous prime is 192201694931. The next prime is 192201694967. The reversal of 192201694944 is 449496102291.

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

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, 616297 + ... + 874199.

It is an arithmetic number, because the mean of its divisors is an integer number (6011742240).

Almost surely, 2192201694944 is an apocalyptic number.

192201694944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192201694944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288563627520).

192201694944 is an abundant number, since it is smaller than the sum of its proper divisors (384925560096).

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

192201694944 is a wasteful number, since it uses less digits than its factorization.

192201694944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259032 (or 259024 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 192201694944 in words is "one hundred ninety-two billion, two hundred one million, six hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1109 2218 3327 4436 6654 7763 8872 13308 15526 17744 23289 26616 31052 35488 46578 53232 62104 93156 106464 124208 186312 248416 257903 372624 515806 745248 773709 1031612 1547418 1805321 2063224 3094836 3610642 4126448 5415963 6189672 7221284 8252896 10831926 12379344 14442568 21663852 24758688 28885136 43327704 57770272 86655408 173310816 286014427 572028854 858043281 1144057708 1716086562 2002100989 2288115416 3432173124 4004201978 4576230832 6006302967 6864346248 8008403956 9152461664 12012605934 13728692496 16016807912 24025211868 27457384992 32033615824 48050423736 64067231648 96100847472 192201694944