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10528364921904 = 2433137177892081
BaseRepresentation
bin1001100100110101001101…
…1100111000010000110000
31101021111112212001021222000
42121031103130320100300
52334444042410000104
634220355235014000
72134435461154164
oct231152334702060
941244485037860
1010528364921904
11339a066585135
12122057413a300
135b4a889a314b
1428580b574ca4
15133d00d72639
hex99353738430

10528364921904 has 80 divisors (see below), whose sum is σ = 30440893071840. Its totient is φ = 3483838494720.

The previous prime is 10528364921903. The next prime is 10528364921911. The reversal of 10528364921904 is 40912946382501.

It is a happy number.

10528364921904 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 8 + 364 + 92 + 190 + 4 = 666.

It is a super-2 number, since 2×105283649219042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10528364921903) by changing a digit.

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, 88886857 + ... + 89005224.

It is an arithmetic number, because the mean of its divisors is an integer number (380511163398).

Almost surely, 210528364921904 is an apocalyptic number.

It is an amenable number.

10528364921904 is an abundant number, since it is smaller than the sum of its proper divisors (19912528149936).

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

10528364921904 is a wasteful number, since it uses less digits than its factorization.

10528364921904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177892235 (or 177892223 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 10528364921904 in words is "ten trillion, five hundred twenty-eight billion, three hundred sixty-four million, nine hundred twenty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 411 432 548 822 1096 1233 1644 2192 2466 3288 3699 4932 6576 7398 9864 14796 19728 29592 59184 177892081 355784162 533676243 711568324 1067352486 1423136648 1601028729 2134704972 2846273296 3202057458 4269409944 4803086187 6404114916 8538819888 9606172374 12808229832 19212344748 24371215097 25616459664 38424689496 48742430194 73113645291 76849378992 97484860388 146227290582 194969720776 219340935873 292454581164 389939441552 438681871746 584909162328 658022807619 877363743492 1169818324656 1316045615238 1754727486984 2632091230476 3509454973968 5264182460952 10528364921904