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13589676972 = 22325921130323
BaseRepresentation
bin11001010100000001…
…00000001110101100
31022002002101010012100
430222000200032230
5210312424130342
610124253535100
7660523230324
oct145200401654
938062333170
1013589676972
1158440224a3
1227731a4490
1313875c49a1
1492cbc6284
155480d0e4c
hex32a0203ac

13589676972 has 72 divisors (see below), whose sum is σ = 35100636480. Its totient is φ = 4431863520.

The previous prime is 13589676959. The next prime is 13589676973. The reversal of 13589676972 is 27967698531.

It is not an unprimeable number, because it can be changed into a prime (13589676973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433003 + ... + 463325.

It is an arithmetic number, because the mean of its divisors is an integer number (487508840).

Almost surely, 213589676972 is an apocalyptic number.

13589676972 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 13589676972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17550318240).

13589676972 is an abundant number, since it is smaller than the sum of its proper divisors (21510959508).

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

13589676972 is a wasteful number, since it uses less digits than its factorization.

13589676972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30603 (or 30598 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

It can be divided in two parts, 13589 and 676972, that added together give a square (690561 = 8312).

The spelling of 13589676972 in words is "thirteen billion, five hundred eighty-nine million, six hundred seventy-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 211 236 354 422 531 633 708 844 1062 1266 1899 2124 2532 3798 7596 12449 24898 30323 37347 49796 60646 74694 90969 112041 121292 149388 181938 224082 272907 363876 448164 545814 1091628 1789057 3578114 5367171 6398153 7156228 10734342 12796306 16101513 19194459 21468684 25592612 32203026 38388918 57583377 64406052 76777836 115166754 230333508 377491027 754982054 1132473081 1509964108 2264946162 3397419243 4529892324 6794838486 13589676972