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13135683554740 = 22555710331141477
BaseRepresentation
bin1011111100100110001111…
…0000001000110110110100
31201111202111101001021021201
42333021203300020312310
53210203334442222430
643534241050022244
72524010324652235
oct277114360106664
951452441037251
1013135683554740
1142048a2a136aa
121581949a17984
137438c71c0796
14335ab028908c
1517ba514768ca
hexbf263c08db4

13135683554740 has 48 divisors (see below), whose sum is σ = 27661235473872. Its totient is φ = 5239758375936.

The previous prime is 13135683554723. The next prime is 13135683554813. The reversal of 13135683554740 is 4745538653131.

13135683554740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 102269481616 + 13033414073124 = 319796^2 + 3610182^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10936882 + ... + 12078358.

It is an arithmetic number, because the mean of its divisors is an integer number (576275739039).

Almost surely, 213135683554740 is an apocalyptic number.

13135683554740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13135683554740 is an abundant number, since it is smaller than the sum of its proper divisors (14525551919132).

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

13135683554740 is a wasteful number, since it uses less digits than its factorization.

13135683554740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143076 (or 1143074 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 13135683554740 in words is "thirteen trillion, one hundred thirty-five billion, six hundred eighty-three million, five hundred fifty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 557 1033 1114 2066 2228 2785 4132 5165 5570 10330 11140 20660 575381 1141477 1150762 2282954 2301524 2876905 4565908 5707385 5753810 11414770 11507620 22829540 635802689 1179145741 1271605378 2358291482 2543210756 3179013445 4716582964 5895728705 6358026890 11791457410 12716053780 23582914820 656784177737 1313568355474 2627136710948 3283920888685 6567841777370 13135683554740