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194826897664 = 28745632
BaseRepresentation
bin1011010101110010010…
…1101000100100000000
3200121212211011212011121
42311130211220210000
511143001141211124
6225300252322024
720034664210000
oct2653445504400
9617784155147
10194826897664
1175697782913
1231913173314
13154ab663189
149603040000
1551042282e4
hex2d5c968900

194826897664 has 135 divisors (see below), whose sum is σ = 454488475763. Its totient is φ = 83348934144.

The previous prime is 194826897649. The next prime is 194826897689. The reversal of 194826897664 is 466798628491.

The square root of 194826897664 is 441392.

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

It is a junction number, because it is equal to n+sod(n) for n = 194826897593 and 194826897602.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 346051047 + ... + 346051609.

Almost surely, 2194826897664 is an apocalyptic number.

194826897664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

194826897664 is the 441392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194826897664

194826897664 is an abundant number, since it is smaller than the sum of its proper divisors (259661578099).

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

194826897664 is an frugal number, since it uses more digits than its factorization.

194826897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 572 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 70.

The spelling of 194826897664 in words is "one hundred ninety-four billion, eight hundred twenty-six million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 563 686 784 896 1126 1372 1568 1792 2252 2401 2744 3136 3941 4504 4802 5488 6272 7882 9008 9604 10976 12544 15764 18016 19208 21952 27587 31528 36032 38416 43904 55174 63056 72064 76832 87808 110348 126112 144128 153664 193109 220696 252224 307328 316969 386218 441392 504448 614656 633938 772436 882784 1008896 1267876 1351763 1544872 1765568 2218783 2535752 2703526 3089744 3531136 4437566 5071504 5407052 6179488 7062272 8875132 10143008 10814104 12358976 15531481 17750264 20286016 21628208 24717952 31062962 35500528 40572032 43256416 49435904 62125924 71001056 81144064 86512832 108720367 124251848 142002112 173025664 217440734 248503696 284004224 346051328 434881468 497007392 568008448 761042569 869762936 994014784 1522085138 1739525872 1988029568 3044170276 3479051744 3976059136 6088340552 6958103488 12176681104 13916206976 24353362208 27832413952 48706724416 97413448832 194826897664