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1072454039104 = 26717314542449
BaseRepresentation
bin11111001101100110011…
…11011111011001000000
310210112012011110222010211
433212303033133121000
5120032341213222404
62140402324003504
7140324260631440
oct17466317373100
93715164428124
101072454039104
11383909389958
12153a22830594
137a193c6c826
1439c9ad48120
151cd6c524b04
hexf9b33df640

1072454039104 has 112 divisors (see below), whose sum is σ = 2658314419200. Its totient is φ = 418632007680.

The previous prime is 1072454039081. The next prime is 1072454039143. The reversal of 1072454039104 is 4019304542701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10724540391042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035129 + ... + 2507320.

Almost surely, 21072454039104 is an apocalyptic number.

1072454039104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1072454039104 is an abundant number, since it is smaller than the sum of its proper divisors (1585860380096).

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

1072454039104 is a wasteful number, since it uses less digits than its factorization.

1072454039104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542516 (or 4542506 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1072454039104 in words is "one trillion, seventy-two billion, four hundred fifty-four million, thirty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 136 217 224 238 248 272 434 448 476 496 527 544 868 952 992 1054 1088 1736 1904 1984 2108 3472 3689 3808 4216 6944 7378 7616 8432 13888 14756 16864 29512 33728 59024 118048 236096 4542449 9084898 18169796 31797143 36339592 63594286 72679184 77221633 127188572 140815919 145358368 154443266 254377144 281631838 290716736 308886532 508754288 540551431 563263676 617773064 985711433 1017508576 1081102862 1126527352 1235546128 1971422866 2035017152 2162205724 2253054704 2393870623 2471092256 3942845732 4324411448 4506109408 4787741246 4942184512 7885691464 8648822896 9012218816 9575482492 15771382928 16757094361 17297645792 19150964984 31542765856 33514188722 34595291584 38301929968 63085531712 67028377444 76603859936 134056754888 153207719872 268113509776 536227019552 1072454039104