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193770631703104 = 26232756532
BaseRepresentation
bin101100000011101110111101…
…101010111010101001000000
3221102002021212111011202112221
4230003232331222322221000
5200344214223203444404
61524040555503500424
755546315614410431
oct5403567552725100
9842067774152487
10193770631703104
1156817733008655
12198960685b7714
138417652393961
1435bc797585488
151760643739954
hexb03bbdabaa40

193770631703104 has 63 divisors (see below), whose sum is σ = 401963761836553. Its totient is φ = 92671685841152.

The previous prime is 193770631703087. The next prime is 193770631703153. The reversal of 193770631703104 is 401307136077391.

It is a happy number.

The square root of 193770631703104 is 13920152.

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

193770631703104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 107866503374400 + 85904128328704 = 10385880^2 + 9268448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2561270142 + ... + 2561345794.

Almost surely, 2193770631703104 is an apocalyptic number.

193770631703104 is the 13920152-nd square number.

It is an amenable number.

193770631703104 is an abundant number, since it is smaller than the sum of its proper divisors (208193130133449).

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

193770631703104 is an frugal number, since it uses more digits than its factorization.

193770631703104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151364 (or 75678 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 52.

The spelling of 193770631703104 in words is "one hundred ninety-three trillion, seven hundred seventy billion, six hundred thirty-one million, seven hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 8464 16928 33856 75653 151306 302612 605224 1210448 1740019 2420896 3480038 4841792 6960076 13920152 27840304 40020437 55680608 80040874 111361216 160081748 320163496 640326992 1280653984 2561307968 5723376409 11446752818 22893505636 45787011272 91574022544 131637657407 183148045088 263275314814 366296090176 526550629628 1053101259256 2106202518512 3027666120361 4212405037024 6055332240722 8424810074048 12110664481444 24221328962888 48442657925776 96885315851552 193770631703104