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13677962640 = 243599757163
BaseRepresentation
bin11001011110100010…
…10010010110010000
31022022020111111100220
430233101102112100
5211003024301030
610141130113040
7662644523046
oct145721222620
938266444326
1013677962640
115889942861
12279887b780
13139c996524
1493a808396
15550c1ea10
hex32f452590

13677962640 has 80 divisors (see below), whose sum is σ = 42444955968. Its totient is φ = 3643734528.

The previous prime is 13677962633. The next prime is 13677962647. The reversal of 13677962640 is 4626977631.

It is an interprime number because it is at equal distance from previous prime (13677962633) and next prime (13677962647).

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

It is not an unprimeable number, because it can be changed into a prime (13677962647) 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, 210699 + ... + 267861.

Almost surely, 213677962640 is an apocalyptic number.

13677962640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13677962640 is an abundant number, since it is smaller than the sum of its proper divisors (28766993328).

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

13677962640 is a wasteful number, since it uses less digits than its factorization.

13677962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58176 (or 58170 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 13677962640 in words is "thirteen billion, six hundred seventy-seven million, nine hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 997 1994 2991 3988 4985 5982 7976 9970 11964 14955 15952 19940 23928 29910 39880 47856 57163 59820 79760 114326 119640 171489 228652 239280 285815 342978 457304 571630 685956 857445 914608 1143260 1371912 1714890 2286520 2743824 3429780 4573040 6859560 13719120 56991511 113983022 170974533 227966044 284957555 341949066 455932088 569915110 683898132 854872665 911864176 1139830220 1367796264 1709745330 2279660440 2735592528 3419490660 4559320880 6838981320 13677962640