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13776940840 = 2351325338453
BaseRepresentation
bin11001101010010101…
…10110111100101000
31022120010202002221011
430311022312330220
5211203344101330
610155023353304
7665256031165
oct146512667450
938503662834
1013776940840
11592a7a6623
122805a52834
1313b733cc00
14949a1106c
1555977182a
hex3352b6f28

13776940840 has 96 divisors (see below), whose sum is σ = 34200218520. Its totient is φ = 4990761984.

The previous prime is 13776940819. The next prime is 13776940901. The reversal of 13776940840 is 4804967731.

It can be written as a sum of positive squares in 12 ways, for example, as 44382244 + 13732558596 = 6662^2 + 117186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339054 + ... + 377506.

Almost surely, 213776940840 is an apocalyptic number.

13776940840 is a gapful number since it is divisible by the number (10) 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 13776940840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100109260).

13776940840 is an abundant number, since it is smaller than the sum of its proper divisors (20423277680).

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

13776940840 is a wasteful number, since it uses less digits than its factorization.

13776940840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38543 (or 38526 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 13776940840 in words is "thirteen billion, seven hundred seventy-six million, nine hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 169 212 260 265 338 424 520 530 676 689 845 1060 1352 1378 1690 2120 2756 3380 3445 5512 6760 6890 8957 13780 17914 27560 35828 38453 44785 71656 76906 89570 153812 179140 192265 307624 358280 384530 499889 769060 999778 1538120 1999556 2038009 2499445 3999112 4076018 4998890 6498557 8152036 9997780 10190045 12997114 16304072 19995560 20380090 25994228 26494117 32492785 40760180 51988456 52988234 64985570 81520360 105976468 129971140 132470585 211952936 259942280 264941170 344423521 529882340 688847042 1059764680 1377694084 1722117605 2755388168 3444235210 6888470420 13776940840