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10048034374 = 2724315115791
BaseRepresentation
bin10010101101110100…
…01101011001000110
3221221021011000220021
421112322031121012
5131034244044444
64341020125354
7503666611600
oct112672153106
927837130807
1010048034374
114296942a44
121b4509685a
13c41937c91
146b46a8170
153dc1ea584
hex256e8d646

10048034374 has 48 divisors (see below), whose sum is σ = 18060489216. Its totient is φ = 4178034000.

The previous prime is 10048034333. The next prime is 10048034377. The reversal of 10048034374 is 47343084001.

10048034374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048034377) 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 23 ways as a sum of consecutive naturals, for example, 628419 + ... + 644209.

It is an arithmetic number, because the mean of its divisors is an integer number (376260192).

Almost surely, 210048034374 is an apocalyptic number.

10048034374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10048034374 is a deficient number, since it is larger than the sum of its proper divisors (8012454842).

10048034374 is a wasteful number, since it uses less digits than its factorization.

10048034374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16001 (or 15994 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 10048034374 in words is "ten billion, forty-eight million, thirty-four thousand, three hundred seventy-four".

Divisors: 1 2 7 14 43 49 86 98 151 301 302 602 1057 2107 2114 4214 6493 7399 12986 14798 15791 31582 45451 90902 110537 221074 318157 636314 679013 773759 1358026 1547518 2384441 4753091 4768882 9506182 16691087 33271637 33382174 66543274 102530963 116837609 205061926 233675218 717716741 1435433482 5024017187 10048034374