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12804273990 = 2335101617761
BaseRepresentation
bin10111110110011000…
…11011011101000110
31020001100111111212000
423323030123131012
5202210343231430
65514320010130
7632205350604
oct137314333506
936040444760
1012804273990
115480751622
122594160946
131290982bb1
1489677a874
154ee18de60
hex2fb31b746

12804273990 has 128 divisors (see below), whose sum is σ = 34584071040. Its totient is φ = 3370752000.

The previous prime is 12804273961. The next prime is 12804273997. The reversal of 12804273990 is 9937240821.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12804273997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16825210 + ... + 16825970.

It is an arithmetic number, because the mean of its divisors is an integer number (270188055).

Almost surely, 212804273990 is an apocalyptic number.

12804273990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12804273990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17292035520).

12804273990 is an abundant number, since it is smaller than the sum of its proper divisors (21779797050).

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

12804273990 is a wasteful number, since it uses less digits than its factorization.

12804273990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12804273990 in words is "twelve billion, eight hundred four million, two hundred seventy-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 617 761 909 1010 1234 1515 1522 1818 1851 2283 2727 3030 3085 3702 3805 4545 4566 5454 5553 6170 6849 7610 9090 9255 11106 11415 13635 13698 16659 18510 20547 22830 27270 27765 33318 34245 41094 55530 62317 68490 76861 83295 102735 124634 153722 166590 186951 205470 230583 311585 373902 384305 461166 469537 560853 623170 691749 768610 934755 939074 1121706 1152915 1383498 1408611 1682559 1869510 2075247 2305830 2347685 2804265 2817222 3365118 3458745 4150494 4225833 4695370 5608530 6917490 7043055 8412795 8451666 10376235 12677499 14086110 16825590 20752470 21129165 25354998 42258330 47423237 63387495 94846474 126774990 142269711 237116185 284539422 426809133 474232370 711348555 853618266 1280427399 1422697110 2134045665 2560854798 4268091330 6402136995 12804273990