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13106316023504 = 24113713913144659
BaseRepresentation
bin1011111010111000110101…
…0011111001011011010000
31201101221200200212002221122
42332232031103321123100
53204213213400223004
643512543005541412
72521620505032524
oct276561523713320
951357620762848
1013106316023504
1141a33a2794830
121578112874868
13740bc6b81b72
143344c5c39d84
1517add3130cbe
hexbeb8d4f96d0

13106316023504 has 80 divisors (see below), whose sum is σ = 28452930056640. Its totient is φ = 5795948436480.

The previous prime is 13106316023503. The next prime is 13106316023587. The reversal of 13106316023504 is 40532061360131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106316023503) 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, 90529127 + ... + 90673785.

It is an arithmetic number, because the mean of its divisors is an integer number (355661625708).

Almost surely, 213106316023504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106316023504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226465028320).

13106316023504 is an abundant number, since it is smaller than the sum of its proper divisors (15346614033136).

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

13106316023504 is a wasteful number, since it uses less digits than its factorization.

13106316023504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158628 (or 158622 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 13106316023504 its reverse (40532061360131), we get a palindrome (53638377383635).

The spelling of 13106316023504 in words is "thirteen trillion, one hundred six billion, three hundred sixteen million, twenty-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1628 3256 6512 13913 27826 55652 111304 144659 153043 222608 289318 306086 514781 578636 612172 1029562 1157272 1224344 1591249 2059124 2314544 2448688 3182498 4118248 5352383 5662591 6364996 8236496 10704766 11325182 12729992 21409532 22650364 25459984 42819064 45300728 58876213 85638128 90601456 117752426 235504852 471009704 942019408 2012640667 4025281334 8050562668 16101125336 22139047337 32202250672 44278094674 74467704679 88556189348 148935409358 177112378696 297870818716 354224757392 595741637432 819144751469 1191483274864 1638289502938 3276579005876 6553158011752 13106316023504