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12247963440 = 2435163313087
BaseRepresentation
bin10110110100000100…
…10001011100110000
31011121120201000020120
423122002101130300
5200040434312230
65343204210240
7612341654136
oct133202213460
934546630216
1012247963440
115215724239
122459999980
13120264325b
14842927756
154ba401310
hex2da091730

12247963440 has 80 divisors (see below), whose sum is σ = 38201745408. Its totient is φ = 3246075648.

The previous prime is 12247963393. The next prime is 12247963457. The reversal of 12247963440 is 4436974221.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12247963392 and 12247963401.

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, 117424 + ... + 195663.

Almost surely, 212247963440 is an apocalyptic number.

12247963440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12247963440 is an abundant number, since it is smaller than the sum of its proper divisors (25953781968).

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

12247963440 is a wasteful number, since it uses less digits than its factorization.

12247963440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313266 (or 313260 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 12247963440 in words is "twelve billion, two hundred forty-seven million, nine hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 6520 7824 9780 13040 19560 39120 313087 626174 939261 1252348 1565435 1878522 2504696 3130870 3757044 4696305 5009392 6261740 7514088 9392610 12523480 15028176 18785220 25046960 37570440 51033181 75140880 102066362 153099543 204132724 255165905 306199086 408265448 510331810 612398172 765497715 816530896 1020663620 1224796344 1530995430 2041327240 2449592688 3061990860 4082654480 6123981720 12247963440