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192945294108 = 2235752335419
BaseRepresentation
bin1011001110110001101…
…1111000101100011100
3200110000200121111100000
42303230123320230130
511130122443402413
6224345435134300
716640235640230
oct2635433705434
9613020544300
10192945294108
1174911652256
1231488ba4390
131526b8a0ba8
1494a51a45c0
155043e51073
hex2cec6f8b1c

192945294108 has 144 divisors (see below), whose sum is σ = 578259019520. Its totient is φ = 55106521344.

The previous prime is 192945294089. The next prime is 192945294119. The reversal of 192945294108 is 801492549291.

192945294108 is a `hidden beast` number, since 1 + 9 + 2 + 9 + 4 + 529 + 4 + 108 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35602623 + ... + 35608041.

Almost surely, 2192945294108 is an apocalyptic number.

192945294108 is a gapful number since it is divisible by the number (18) 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 192945294108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289129509760).

192945294108 is an abundant number, since it is smaller than the sum of its proper divisors (385313725412).

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

192945294108 is a wasteful number, since it uses less digits than its factorization.

192945294108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 192945294108 in words is "one hundred ninety-two billion, nine hundred forty-five million, two hundred ninety-four thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 5233 5419 6804 10466 10838 15699 16257 20932 21676 31398 32514 36631 37933 47097 48771 62796 65028 73262 75866 94194 97542 109893 113799 141291 146313 146524 151732 188388 195084 219786 227598 282582 292626 329679 341397 423873 438939 439572 455196 565164 585252 659358 682794 847746 877878 989037 1024191 1271619 1316817 1318716 1365588 1695492 1755756 1978074 2048382 2543238 2633634 2967111 3072573 3956148 4096764 5086476 5267268 5934222 6145146 8901333 9217719 11868444 12290292 17802666 18435438 28357627 35605332 36870876 56715254 85072881 113430508 170145762 198503389 255218643 340291524 397006778 510437286 595510167 765655929 794013556 1020874572 1191020334 1531311858 1786530501 2296967787 2382040668 3062623716 3573061002 4593935574 5359591503 6890903361 7146122004 9187871148 10719183006 13781806722 16078774509 21438366012 27563613444 32157549018 48236323527 64315098036 96472647054 192945294108