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12135307420992 = 26379029246593
BaseRepresentation
bin1011000010010111100010…
…1100000010010101000000
31120222010100102212021022010
42300211320230002111000
53042311102144432432
641450514441412520
72361514142062320
oct260457054022500
946863312767263
1012135307420992
113959611743978
12143baa1a9a140
136a047c01b7c2
142dd4cdcd1280
15160a01bb33cc
hexb0978b02540

12135307420992 has 56 divisors (see below), whose sum is σ = 36694858158016. Its totient is φ = 3467230691328.

The previous prime is 12135307420987. The next prime is 12135307421033. The reversal of 12135307420992 is 29902470353121.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4514621953 + ... + 4514624640.

Almost surely, 212135307420992 is an apocalyptic number.

12135307420992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12135307420992 is an abundant number, since it is smaller than the sum of its proper divisors (24559550737024).

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

12135307420992 is an equidigital number, since it uses as much as digits as its factorization.

12135307420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9029246615 (or 9029246605 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 12135307420992 in words is "twelve trillion, one hundred thirty-five billion, three hundred seven million, four hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 9029246593 18058493186 27087739779 36116986372 54175479558 63204726151 72233972744 108350959116 126409452302 144467945488 189614178453 216701918232 252818904604 288935890976 379228356906 433403836464 505637809208 577871781952 758456713812 866807672928 1011275618416 1516913427624 1733615345856 2022551236832 3033826855248 4045102473664 6067653710496 12135307420992