Search a number
-
+
13613992488 = 23333113914627
BaseRepresentation
bin11001010110111010…
…10000101000101000
31022010210010110211000
430223131100220220
5210340140224423
610130523035000
7661240012125
oct145335205050
938123113730
1013613992488
115856820068
12277b36ba60
13138c659475
1493211574c
1554a2d5843
hex32b750a28

13613992488 has 128 divisors (see below), whose sum is σ = 39320064000. Its totient is φ = 4359718080.

The previous prime is 13613992487. The next prime is 13613992489. The reversal of 13613992488 is 88429931631.

13613992488 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 399 + 248 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13613992487) and next prime (13613992489).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13613992481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923431 + ... + 938057.

It is an arithmetic number, because the mean of its divisors is an integer number (307188000).

Almost surely, 213613992488 is an apocalyptic number.

13613992488 is a gapful number since it is divisible by the number (18) 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 13613992488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19660032000).

13613992488 is an abundant number, since it is smaller than the sum of its proper divisors (25706071512).

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

13613992488 is a wasteful number, since it uses less digits than its factorization.

13613992488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14812 (or 14802 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 13613992488 in words is "thirteen billion, six hundred thirteen million, nine hundred ninety-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 139 186 216 248 278 279 372 417 556 558 744 834 837 1112 1116 1251 1668 1674 2232 2502 3336 3348 3753 4309 5004 6696 7506 8618 10008 12927 14627 15012 17236 25854 29254 30024 34472 38781 43881 51708 58508 77562 87762 103416 116343 117016 131643 155124 175524 232686 263286 310248 351048 394929 453437 465372 526572 789858 906874 930744 1053144 1360311 1579716 1813748 2033153 2720622 3159432 3627496 4066306 4080933 5441244 6099459 8132612 8161866 10882488 12198918 12242799 16265224 16323732 18298377 24397836 24485598 32647464 36596754 48795672 48971196 54895131 63027743 73193508 97942392 109790262 126055486 146387016 189083229 219580524 252110972 378166458 439161048 504221944 567249687 756332916 1134499374 1512665832 1701749061 2268998748 3403498122 4537997496 6806996244 13613992488