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12707874480 = 243577564211
BaseRepresentation
bin10111101010111001…
…01100011010110000
31012210122002220120210
423311130230122300
5202011203440410
65500553504120
7626625102510
oct136534543260
935718086523
1012707874480
11543129a204
122567a12040
131276a00172
14887a45840
154e599b220
hex2f572c6b0

12707874480 has 80 divisors (see below), whose sum is σ = 45022189824. Its totient is φ = 2904656640.

The previous prime is 12707874467. The next prime is 12707874499. The reversal of 12707874480 is 8447870721.

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

It is a super-3 number, since 3×127078744803 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3780426 + ... + 3783785.

Almost surely, 212707874480 is an apocalyptic number.

12707874480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12707874480 is an abundant number, since it is smaller than the sum of its proper divisors (32314315344).

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

12707874480 is a wasteful number, since it uses less digits than its factorization.

12707874480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7564234 (or 7564228 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The spelling of 12707874480 in words is "twelve billion, seven hundred seven million, eight hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7564211 15128422 22692633 30256844 37821055 45385266 52949477 60513688 75642110 90770532 105898954 113463165 121027376 151284220 158848431 181541064 211797908 226926330 264747385 302568440 317696862 363082128 423595816 453852660 529494770 605136880 635393724 794242155 847191632 907705320 1058989540 1270787448 1588484310 1815410640 2117979080 2541574896 3176968620 4235958160 6353937240 12707874480