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192680614116 = 223214924912
BaseRepresentation
bin1011001101110010101…
…0001101100011100100
3200102100020120100122100
42303130222031203210
511124102214122431
6224303302132100
716630543124364
oct2633452154344
9612306510570
10192680614116
1174796202261
1231414421030
1315228abb703
14947bd869a4
15502aabc4e6
hex2cdca8d8e4

192680614116 has 81 divisors (see below), whose sum is σ = 491345229193. Its totient is φ = 63665888160.

The previous prime is 192680614079. The next prime is 192680614123. The reversal of 192680614116 is 611416086291.

The square root of 192680614116 is 438954.

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

192680614116 is a `hidden beast` number, since 1 + 9 + 26 + 8 + 0 + 614 + 1 + 1 + 6 = 666.

192680614116 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., 22573860516 + 170106753600 = 150246^2 + 412440^2 .

It is a super-2 number, since 2×1926806141162 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 392424631 + ... + 392425121.

Almost surely, 2192680614116 is an apocalyptic number.

192680614116 is the 438954-th square number.

It is an amenable number.

192680614116 is an abundant number, since it is smaller than the sum of its proper divisors (298664615077).

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

192680614116 is an equidigital number, since it uses as much as digits as its factorization.

192680614116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 192680614116 in words is "one hundred ninety-two billion, six hundred eighty million, six hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 491 596 894 982 1341 1473 1788 1964 2682 2946 4419 5364 5892 8838 17676 22201 44402 66603 73159 88804 133206 146318 199809 219477 241081 266412 292636 399618 438954 482162 658431 723243 799236 877908 964324 1316862 1446486 2169729 2633724 2892972 4339458 8678916 10900691 21801382 32702073 35921069 43602764 65404146 71842138 98106219 107763207 130808292 143684276 196212438 215526414 323289621 392424876 431052828 646579242 1293158484 5352239281 10704478562 16056717843 21408957124 32113435686 48170153529 64226871372 96340307058 192680614116