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13263013152 = 2532229201101
BaseRepresentation
bin11000101101000100…
…11000010100100000
31021020022200212200100
430112202120110200
5204130312410102
610032024222400
7646445515554
oct142642302440
937208625610
1013263013152
1156966970a4
1226a190aa00
131334a1c59c
148db671864
155295a6a1c
hex316898520

13263013152 has 72 divisors (see below), whose sum is σ = 37881583740. Its totient is φ = 4401676800.

The previous prime is 13263013151. The next prime is 13263013171. The reversal of 13263013152 is 25131036231.

13263013152 is a `hidden beast` number, since 1 + 3 + 2 + 630 + 13 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13262746896 + 266256 = 115164^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13263013151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34599 + ... + 166502.

Almost surely, 213263013152 is an apocalyptic number.

13263013152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13263013152 is an abundant number, since it is smaller than the sum of its proper divisors (24618570588).

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

13263013152 is a wasteful number, since it uses less digits than its factorization.

13263013152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201346 (or 201335 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13263013152 its reverse (25131036231), we get a palindrome (38394049383).

The spelling of 13263013152 in words is "thirteen billion, two hundred sixty-three million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 687 916 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 16488 21984 32976 65952 201101 402202 603303 804404 1206606 1608808 1809909 2413212 3217616 3619818 4826424 6435232 7239636 9652848 14479272 19305696 28958544 46052129 57917088 92104258 138156387 184208516 276312774 368417032 414469161 552625548 736834064 828938322 1105251096 1473668128 1657876644 2210502192 3315753288 4421004384 6631506576 13263013152