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13788137020 = 2257791246667
BaseRepresentation
bin11001101011101011…
…00100011000111100
31022120220210221012111
430311311210120330
5211214230341040
610200103343404
7665453142130
oct146565443074
938526727174
1013788137020
115936053469
122809751b64
1313b9760078
1494b2c73c0
1555a733dea
hex335d6463c

13788137020 has 48 divisors (see below), whose sum is σ = 33510435840. Its totient is φ = 4667517504.

The previous prime is 13788136981. The next prime is 13788137021. The reversal of 13788137020 is 2073188731.

It is a super-3 number, since 3×137881370203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13788137021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612274 + ... + 634393.

It is an arithmetic number, because the mean of its divisors is an integer number (698134080).

Almost surely, 213788137020 is an apocalyptic number.

13788137020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13788137020 is an abundant number, since it is smaller than the sum of its proper divisors (19722298820).

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

13788137020 is a wasteful number, since it uses less digits than its factorization.

13788137020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246762 (or 1246760 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 13788137020 in words is "thirteen billion, seven hundred eighty-eight million, one hundred thirty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 11060 1246667 2493334 4986668 6233335 8726669 12466670 17453338 24933340 34906676 43633345 87266690 98486693 174533380 196973386 393946772 492433465 689406851 984866930 1378813702 1969733860 2757627404 3447034255 6894068510 13788137020