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13893942312 = 2334187911411
BaseRepresentation
bin11001111000010010…
…01011110000101000
31022212021220101210000
430330021023300220
5211423322123222
610214403223000
71001206363305
oct147411136050
938767811700
1013893942312
11598a84a558
122839077a60
131405657053
1495b38a0ac
15564b839ac
hex33c24bc28

13893942312 has 80 divisors (see below), whose sum is σ = 38940026400. Its totient is φ = 4628443680.

The previous prime is 13893942263. The next prime is 13893942317. The reversal of 13893942312 is 21324939831.

13893942312 is a `hidden beast` number, since 1 + 389 + 39 + 4 + 231 + 2 = 666.

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 (13893942317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1211887 + ... + 1223297.

It is an arithmetic number, because the mean of its divisors is an integer number (486750330).

Almost surely, 213893942312 is an apocalyptic number.

13893942312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13893942312 is an abundant number, since it is smaller than the sum of its proper divisors (25046084088).

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

13893942312 is a wasteful number, since it uses less digits than its factorization.

13893942312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13308 (or 13295 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 13893942312 in words is "thirteen billion, eight hundred ninety-three million, nine hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1879 3758 5637 7516 11274 11411 15032 16911 22548 22822 33822 34233 45096 45644 50733 67644 68466 91288 101466 102699 135288 136932 152199 202932 205398 273864 304398 308097 405864 410796 608796 616194 821592 924291 1217592 1232388 1848582 2464776 3697164 7394328 21441269 42882538 64323807 85765076 128647614 171530152 192971421 257295228 385942842 514590456 578914263 771885684 1157828526 1543771368 1736742789 2315657052 3473485578 4631314104 6946971156 13893942312