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12970802249999 = 11172361151327409
BaseRepresentation
bin1011110011000000000000…
…0011111000000100001111
31200220222220111210011000022
42330300000003320010033
53200003200333444444
643330412043252355
72506052366666666
oct274600003700417
950828814704008
1012970802249999
1141509827a3aa0
1215559b351a0bb
137311ab883379
1432bb0c36dddd
151776011cb9ee
hexbcc000f810f

12970802249999 has 64 divisors (see below), whose sum is σ = 15995293378560. Its totient is φ = 10372285440000.

The previous prime is 12970802249969. The next prime is 12970802250013. The reversal of 12970802249999 is 99994220807921.

It is a Cunningham number, because it is equal to 36015002-1.

It is not a de Polignac number, because 12970802249999 - 216 = 12970802184463 is a prime.

It is a super-2 number, since 2×129708022499992 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12970802249939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39452807 + ... + 39780215.

It is an arithmetic number, because the mean of its divisors is an integer number (249926459040).

Almost surely, 212970802249999 is an apocalyptic number.

12970802249999 is a deficient number, since it is larger than the sum of its proper divisors (3024491128561).

12970802249999 is a wasteful number, since it uses less digits than its factorization.

12970802249999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327672.

The product of its (nonzero) digits is 105815808, while the sum is 71.

The spelling of 12970802249999 in words is "twelve trillion, nine hundred seventy billion, eight hundred two million, two hundred forty-nine thousand, nine hundred ninety-nine".

Divisors: 1 11 17 23 61 151 187 253 391 671 1037 1403 1661 2567 3473 4301 9211 11407 15433 23851 28237 38203 59041 101321 156587 211853 262361 327409 649451 1722457 2330383 3601499 3601501 5565953 7530407 19971949 39616511 49438759 61225483 82834477 128016919 219691439 339523133 459354827 543826349 840458903 1137091457 1408186109 3015764299 3734754463 5052903097 7809032059 9245047933 12508006027 19330554769 33173407289 51267993083 69362578877 85899352649 212636102459 563947923913 762988367647 1179163840909 12970802249999