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13353000053052 = 223111734131743491
BaseRepresentation
bin1100001001001111110011…
…0100110010100100111100
31202021112102112101012202110
43002103330310302210330
53222233421003144202
644222141124454020
72545502534503122
oct302237464624474
952245375335673
1013353000053052
114288a80466330
1215b7a9884a310
1375b24ac5945a
143424080b5912
1518251ec9026c
hexc24fcd3293c

13353000053052 has 96 divisors (see below), whose sum is σ = 35999399649024. Its totient is φ = 3807224243200.

The previous prime is 13353000053047. The next prime is 13353000053143. The reversal of 13353000053052 is 25035000035331.

13353000053052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133530000530522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6787027 + ... + 8530517.

It is an arithmetic number, because the mean of its divisors is an integer number (374993746344).

Almost surely, 213353000053052 is an apocalyptic number.

13353000053052 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 13353000053052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17999699824512).

13353000053052 is an abundant number, since it is smaller than the sum of its proper divisors (22646399595972).

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

13353000053052 is a wasteful number, since it uses less digits than its factorization.

13353000053052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746939 (or 1746937 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 30.

Adding to 13353000053052 its reverse (25035000035331), we get a palindrome (38388000088383).

The spelling of 13353000053052 in words is "thirteen trillion, three hundred fifty-three billion, fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 3413 6826 10239 13652 20478 37543 40956 58021 75086 112629 116042 150172 174063 225258 232084 348126 450516 638231 696252 1276462 1743491 1914693 2552924 3486982 3829386 5230473 6973964 7658772 10460946 19178401 20921892 29639347 38356802 57535203 59278694 76713604 88918041 115070406 118557388 177836082 230140812 326032817 355672164 652065634 978098451 1304131268 1956196902 3912393804 5950534783 11901069566 17851604349 23802139132 35703208698 65455882613 71406417396 101159091311 130911765226 196367647839 202318182622 261823530452 303477273933 392735295678 404636365244 606954547866 785470591356 1112750004421 1213909095732 2225500008842 3338250013263 4451000017684 6676500026526 13353000053052