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13333401252 = 223637123581
BaseRepresentation
bin11000110101011101…
…11000111010100100
31021102020010222000000
430122232320322210
5204301322320002
610043021021300
7651262016643
oct143256707244
937366128000
1013333401252
1157223a2786
1227013b4830
131346495952
14906b5535a
1553085c61c
hex31abb8ea4

13333401252 has 84 divisors (see below), whose sum is σ = 35929983516. Its totient is φ = 4324311360.

The previous prime is 13333401241. The next prime is 13333401281. The reversal of 13333401252 is 25210433331.

13333401252 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 3 + 401 + 252 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9616548096 + 3716853156 = 98064^2 + 60966^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 46102 + ... + 169682.

It is an arithmetic number, because the mean of its divisors is an integer number (427737899).

Almost surely, 213333401252 is an apocalyptic number.

13333401252 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 13333401252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964991758).

13333401252 is an abundant number, since it is smaller than the sum of its proper divisors (22596582264).

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

13333401252 is a wasteful number, since it uses less digits than its factorization.

13333401252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123640 (or 123623 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13333401252 its reverse (25210433331), we get a palindrome (38543834583).

The spelling of 13333401252 in words is "thirteen billion, three hundred thirty-three million, four hundred one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1332 1458 1998 2916 2997 3996 5994 8991 11988 17982 26973 35964 53946 107892 123581 247162 370743 494324 741486 1112229 1482972 2224458 3336687 4448916 4572497 6673374 9144994 10010061 13346748 13717491 18289988 20020122 27434982 30030183 40040244 41152473 54869964 60060366 82304946 90090549 120120732 123457419 164609892 180181098 246914838 360362196 370372257 493829676 740744514 1111116771 1481489028 2222233542 3333350313 4444467084 6666700626 13333401252