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193012864 = 2711292163
BaseRepresentation
bin10111000000100…
…10010010000000
3111110012001212121
423200102102000
5343402402424
631052534024
74532403502
oct1340222200
9443161777
10193012864
1199a50470
1254781314
1330cabbc5
141b8c3d72
1511e28ee4
hexb812480

193012864 has 96 divisors (see below), whose sum is σ = 437102640. Its totient is φ = 84188160.

The previous prime is 193012843. The next prime is 193012873. The reversal of 193012864 is 468210391.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1184047 + ... + 1184209.

Almost surely, 2193012864 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 193012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218551320).

193012864 is an abundant number, since it is smaller than the sum of its proper divisors (244089776).

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

193012864 is a wasteful number, since it uses less digits than its factorization.

193012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 193012864 is about 13892.9069672261. The cubic root of 193012864 is about 577.9124957829.

The spelling of 193012864 in words is "one hundred ninety-three million, twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 163 176 232 319 326 352 464 638 652 704 841 928 1276 1304 1408 1682 1793 1856 2552 2608 3364 3586 3712 4727 5104 5216 6728 7172 9251 9454 10208 10432 13456 14344 18502 18908 20416 20864 26912 28688 37004 37816 40832 51997 53824 57376 74008 75632 103994 107648 114752 137083 148016 151264 207988 229504 274166 296032 302528 415976 548332 592064 605056 831952 1096664 1184128 1507913 1663904 2193328 3015826 3327808 4386656 6031652 6655616 8773312 12063304 17546624 24126608 48253216 96506432 193012864