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13048077312 = 210329371511
BaseRepresentation
bin11000010011011100…
…11101110000000000
31020200100021000010200
430021232131300000
5203210301433222
65554425325200
7641225553504
oct141156356000
936610230120
1013048077312
115596332676
122641936800
1312cc335c0a
148bacc2304
1551579beac
hex309b9dc00

13048077312 has 132 divisors (see below), whose sum is σ = 37741210416. Its totient is φ = 4341841920.

The previous prime is 13048077311. The next prime is 13048077391. The reversal of 13048077312 is 21377084031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13048077311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8634637 + ... + 8636147.

Almost surely, 213048077312 is an apocalyptic number.

13048077312 is a gapful number since it is divisible by the number (12) 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 13048077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18870605208).

13048077312 is an abundant number, since it is smaller than the sum of its proper divisors (24693133104).

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

13048077312 is a wasteful number, since it uses less digits than its factorization.

13048077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13048077312 in words is "thirteen billion, forty-eight million, seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 937 1024 1152 1511 1536 1874 2304 2811 3022 3072 3748 4533 4608 5622 6044 7496 8433 9066 9216 11244 12088 13599 14992 16866 18132 22488 24176 27198 29984 33732 36264 44976 48352 54396 59968 67464 72528 89952 96704 108792 119936 134928 145056 179904 193408 217584 239872 269856 290112 359808 386816 435168 479744 539712 580224 719616 773632 870336 959488 1079424 1160448 1415807 1439232 1547264 1740672 2158848 2320896 2831614 2878464 3481344 4247421 4317696 4641792 5663228 6962688 8494842 8635392 11326456 12742263 13925376 16989684 22652912 25484526 33979368 45305824 50969052 67958736 90611648 101938104 135917472 181223296 203876208 271834944 362446592 407752416 543669888 724893184 815504832 1087339776 1449786368 1631009664 2174679552 3262019328 4349359104 6524038656 13048077312