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13188391392 = 2531125149757
BaseRepresentation
bin11000100100001011…
…01110000111100000
31021001010021200212110
430102011232013200
5204002212011032
610020400555320
7644551322451
oct142205560740
937033250773
1013188391392
115658559720
122680922b40
1313224231b7
148d17a9128
15522c667cc
hex31216e1e0

13188391392 has 96 divisors (see below), whose sum is σ = 37917984384. Its totient is φ = 3980480000.

The previous prime is 13188391387. The next prime is 13188391399. The reversal of 13188391392 is 29319388131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13188391399) 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, 240178 + ... + 289934.

It is an arithmetic number, because the mean of its divisors is an integer number (394979004).

Almost surely, 213188391392 is an apocalyptic number.

13188391392 is a gapful number since it is divisible by the number (12) 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 13188391392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18958992192).

13188391392 is an abundant number, since it is smaller than the sum of its proper divisors (24729592992).

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

13188391392 is a wasteful number, since it uses less digits than its factorization.

13188391392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50032 (or 50024 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

It can be divided in two parts, 1318839 and 1392, that added together give a palindrome (1320231).

The spelling of 13188391392 in words is "thirteen billion, one hundred eighty-eight million, three hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 251 264 352 502 528 753 1004 1056 1506 2008 2761 3012 4016 5522 6024 8032 8283 11044 12048 16566 22088 24096 33132 44176 49757 66264 88352 99514 132528 149271 199028 265056 298542 398056 547327 597084 796112 1094654 1194168 1592224 1641981 2189308 2388336 3283962 4378616 4776672 6567924 8757232 12489007 13135848 17514464 24978014 26271696 37467021 49956028 52543392 74934042 99912056 137379077 149868084 199824112 274758154 299736168 399648224 412137231 549516308 599472336 824274462 1099032616 1198944672 1648548924 2198065232 3297097848 4396130464 6594195696 13188391392