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12136483389464 = 2371959251770239
BaseRepresentation
bin1011000010011011111011…
…0010000000000000011000
31120222020101101122122202222
42300212332302000000120
53042321004221430324
641451231250443212
72361555241460660
oct260467662000030
946866341578688
1012136483389464
11395a065526445
12144016b893508
136a060884a835
142dd5a21671a0
15160a7005355e
hexb09bec80018

12136483389464 has 128 divisors (see below), whose sum is σ = 27950469120000. Its totient is φ = 4824770832000.

The previous prime is 12136483389439. The next prime is 12136483389469. The reversal of 12136483389464 is 46498338463121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12136483389397 and 12136483389406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12136483389469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15371657 + ... + 16141895.

It is an arithmetic number, because the mean of its divisors is an integer number (218363040000).

Almost surely, 212136483389464 is an apocalyptic number.

12136483389464 is a gapful number since it is divisible by the number (14) 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 12136483389464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13975234560000).

12136483389464 is an abundant number, since it is smaller than the sum of its proper divisors (15813985730536).

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

12136483389464 is a wasteful number, since it uses less digits than its factorization.

12136483389464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770581 (or 770577 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 62.

The spelling of 12136483389464 in words is "twelve trillion, one hundred thirty-six billion, four hundred eighty-three million, three hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 59 76 118 133 152 236 251 266 413 472 502 532 826 1004 1064 1121 1652 1757 2008 2242 3304 3514 4484 4769 7028 7847 8968 9538 14056 14809 15694 19076 29618 31388 33383 38152 59236 62776 66766 103663 118472 133532 207326 267064 281371 414652 562742 770239 829304 1125484 1540478 1969597 2250968 3080956 3939194 5391673 6161912 7878388 10783346 14634541 15756776 21566692 29269082 43133384 45444101 58538164 90888202 102441787 117076328 181776404 193329989 204883574 318108707 363552808 386659978 409767148 636217414 773319956 819534296 863437919 1272434828 1353309923 1546639912 1726875838 2544869656 2706619846 3453751676 3673269791 5413239692 6044065433 6907503352 7346539582 10826479384 11406469351 12088130866 14693079164 22812938702 24176261732 25712888537 29386158328 45625877404 48352523464 51425777074 79845285457 91251754808 102851554148 159690570914 205703108296 216722917669 319381141828 433445835338 638762283656 866891670676 1517060423683 1733783341352 3034120847366 6068241694732 12136483389464