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13302917680 = 2451331740351
BaseRepresentation
bin11000110001110101…
…00110101000110000
31021100002210020101211
430120322212220300
5204221021331210
610040011405504
7650441635363
oct143072465060
937302706354
1013302917680
115707171a48
1226b3153894
131340081830
14902a9c0da
1552cd3a38a
hex318ea6a30

13302917680 has 80 divisors (see below), whose sum is σ = 33414361344. Its totient is φ = 4896230400.

The previous prime is 13302917669. The next prime is 13302917681. The reversal of 13302917680 is 8671920331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13302917681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309505 + ... + 349855.

Almost surely, 213302917680 is an apocalyptic number.

13302917680 is a gapful number since it is divisible by the number (10) 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 13302917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707180672).

13302917680 is an abundant number, since it is smaller than the sum of its proper divisors (20111443664).

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

13302917680 is a wasteful number, since it uses less digits than its factorization.

13302917680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40694 (or 40688 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 13302917680 in words is "thirteen billion, three hundred two million, nine hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 317 520 634 1040 1268 1585 2536 3170 4121 5072 6340 8242 12680 16484 20605 25360 32968 40351 41210 65936 80702 82420 161404 164840 201755 322808 329680 403510 524563 645616 807020 1049126 1614040 2098252 2622815 3228080 4196504 5245630 8393008 10491260 12791267 20982520 25582534 41965040 51165068 63956335 102330136 127912670 166286471 204660272 255825340 332572942 511650680 665145884 831432355 1023301360 1330291768 1662864710 2660583536 3325729420 6651458840 13302917680