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13662201312 = 253424121871
BaseRepresentation
bin11001011100101010…
…01010010111100000
31022021010211201220000
430232111022113200
5210440010420222
610135404220000
7662363536464
oct145625122740
938233751800
1013662201312
115880a58071
12279353a600
1313996384b6
149386a44a4
1554e6599ac
hex32e54a5e0

13662201312 has 120 divisors (see below), whose sum is σ = 40348721952. Its totient is φ = 4534963200.

The previous prime is 13662201277. The next prime is 13662201323. The reversal of 13662201312 is 21310226631.

13662201312 is a `hidden beast` number, since 1 + 3 + 6 + 622 + 0 + 1 + 31 + 2 = 666.

It is a super-2 number, since 2×136622013122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 613737 + ... + 635607.

Almost surely, 213662201312 is an apocalyptic number.

13662201312 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 13662201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174360976).

13662201312 is an abundant number, since it is smaller than the sum of its proper divisors (26686520640).

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

13662201312 is a wasteful number, since it uses less digits than its factorization.

13662201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22134 (or 22117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13662201312 its reverse (21310226631), we get a palindrome (34972427943).

The spelling of 13662201312 in words is "thirteen billion, six hundred sixty-two million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 241 288 324 432 482 648 723 864 964 1296 1446 1928 2169 2592 2892 3856 4338 5784 6507 7712 8676 11568 13014 17352 19521 21871 23136 26028 34704 39042 43742 52056 65613 69408 78084 87484 104112 131226 156168 174968 196839 208224 262452 312336 349936 393678 524904 590517 624672 699872 787356 1049808 1181034 1574712 1771551 2099616 2362068 3149424 3543102 4724136 5270911 6298848 7086204 9448272 10541822 14172408 15812733 18896544 21083644 28344816 31625466 42167288 47438199 56689632 63250932 84334576 94876398 126501864 142314597 168669152 189752796 253003728 284629194 379505592 426943791 506007456 569258388 759011184 853887582 1138516776 1518022368 1707775164 2277033552 3415550328 4554067104 6831100656 13662201312