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10849241309972 = 22131139649191353
BaseRepresentation
bin1001110111100000100100…
…1011001010001100010100
31102102011210021120201101012
42131320021023022030110
52410223221233404342
635024023405351352
72166555212360642
oct235701113121424
942364707521335
1010849241309972
11350315697580a
1212727a4b68558
136091049268b0
1429716b130192
1513c3311b2b82
hex9de092ca314

10849241309972 has 48 divisors (see below), whose sum is σ = 20629836469200. Its totient is φ = 4962489090048.

The previous prime is 10849241309939. The next prime is 10849241309993. The reversal of 10849241309972 is 27990314294801.

It can be written as a sum of positive squares in 8 ways, for example, as 4479301342096 + 6369939967876 = 2116436^2 + 2523874^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56601848 + ... + 56793200.

It is an arithmetic number, because the mean of its divisors is an integer number (429788259775).

Almost surely, 210849241309972 is an apocalyptic number.

It is an amenable number.

10849241309972 is a deficient number, since it is larger than the sum of its proper divisors (9780595159228).

10849241309972 is a wasteful number, since it uses less digits than its factorization.

10849241309972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201132 (or 201130 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 59.

The spelling of 10849241309972 in words is "ten trillion, eight hundred forty-nine billion, two hundred forty-one million, three hundred nine thousand, nine hundred seventy-two".

Divisors: 1 2 4 13 26 52 113 226 452 1469 2938 5876 9649 19298 38596 125437 191353 250874 382706 501748 765412 1090337 2180674 2487589 4361348 4975178 9950356 14174381 21622889 28348762 43245778 56697524 86491556 281097557 562195114 1124390228 1846365097 3692730194 7385460388 24002746261 48005492522 96010985044 208639255961 417278511922 834557023844 2712310327493 5424620654986 10849241309972