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13744782228108 = 2238940142297589
BaseRepresentation
bin1100100000000011010011…
…0111001011101010001100
31210122222200111122211012110
43020000310313023222030
53300143303222244413
645122133224304020
72616012342156621
oct310006467135214
953588614584173
1013744782228108
11441a147273168
12165b9b7912010
13789186b98c89
14357372aac348
1518c7eeeb28c3
hexc8034dcba8c

13744782228108 has 96 divisors (see below), whose sum is σ = 32524358328000. Its totient is φ = 4517154611200.

The previous prime is 13744782228103. The next prime is 13744782228113. The reversal of 13744782228108 is 80182228744731.

It is an interprime number because it is at equal distance from previous prime (13744782228103) and next prime (13744782228113).

It is a super-2 number, since 2×137447822281082 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13744782228103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811141578 + ... + 1811149166.

It is an arithmetic number, because the mean of its divisors is an integer number (338795399250).

Almost surely, 213744782228108 is an apocalyptic number.

It is an amenable number.

13744782228108 is an abundant number, since it is smaller than the sum of its proper divisors (18779576099892).

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

13744782228108 is a wasteful number, since it uses less digits than its factorization.

13744782228108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12315 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 57.

The spelling of 13744782228108 in words is "thirteen trillion, seven hundred forty-four billion, seven hundred eighty-two million, two hundred twenty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 89 178 267 356 401 534 802 1068 1203 1604 2406 4229 4812 7589 8458 12687 15178 16916 22767 25374 30356 35689 45534 50748 71378 91068 107067 142756 214134 376381 428268 675421 752762 1129143 1350842 1505524 1695829 2026263 2258286 2701684 3043189 3391658 4052526 4516572 5087487 6086378 6783316 8105052 9129567 10174974 12172756 18259134 20349948 32093881 36518268 64187762 96281643 128375524 150928781 192563286 270843821 301857562 385126572 452786343 541687642 603715124 812531463 905572686 1083375284 1625062926 1811145372 2856355409 3250125852 5712710818 8569066227 11425421636 12869646281 17138132454 25739292562 34276264908 38608938843 51478585124 77217877686 154435755372 1145398519009 2290797038018 3436195557027 4581594076036 6872391114054 13744782228108