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193631681296 = 2423247832
BaseRepresentation
bin1011010001010101011…
…0001111101100010000
3200111210112011120112201
42310111112033230100
511133024202300141
6224541514532544
716663242064114
oct2642526175420
9614715146481
10193631681296
1175134044099
123163aa37154
131534ab55161
14952c3d7744
155084335031
hex2d1558fb10

193631681296 has 45 divisors (see below), whose sum is σ = 392263948839. Its totient is φ = 92587094688.

The previous prime is 193631681291. The next prime is 193631681357. The reversal of 193631681296 is 692186136391.

The square root of 193631681296 is 440036.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193631681291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40480921 + ... + 40485703.

Almost surely, 2193631681296 is an apocalyptic number.

193631681296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193631681296 is the 440036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193631681296

193631681296 is an abundant number, since it is smaller than the sum of its proper divisors (198632267543).

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

193631681296 is an frugal number, since it uses more digits than its factorization.

193631681296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9620 (or 4808 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 55.

The spelling of 193631681296 in words is "one hundred ninety-three billion, six hundred thirty-one million, six hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 4783 8464 9566 19132 38264 76528 110009 220018 440036 880072 1760144 2530207 5060414 10120828 20241656 22877089 40483312 45754178 91508356 183016712 366033424 526173047 1052346094 2104692188 4209384376 8418768752 12101980081 24203960162 48407920324 96815840648 193631681296