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10435093780 = 2252917991541
BaseRepresentation
bin10011011011111101…
…01110010100010100
3222221020110200120211
421231332232110110
5132332341000110
64443244135204
7516406555636
oct115576562424
928836420524
1010435093780
11447537a451
122032837504
13ca3b98407
1470dc60a56
154111a498a
hex26dfae514

10435093780 has 24 divisors (see below), whose sum is σ = 22669342920. Its totient is φ = 4030104960.

The previous prime is 10435093777. The next prime is 10435093783. The reversal of 10435093780 is 8739053401.

It is an interprime number because it is at equal distance from previous prime (10435093777) and next prime (10435093783).

It can be written as a sum of positive squares in 4 ways, for example, as 765518224 + 9669575556 = 27668^2 + 98334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10435093783) 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 7 ways as a sum of consecutive naturals, for example, 8995191 + ... + 8996350.

It is an arithmetic number, because the mean of its divisors is an integer number (944555955).

Almost surely, 210435093780 is an apocalyptic number.

10435093780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10435093780 is an abundant number, since it is smaller than the sum of its proper divisors (12234249140).

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

10435093780 is a wasteful number, since it uses less digits than its factorization.

10435093780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17991579 (or 17991577 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 10435093780 in words is "ten billion, four hundred thirty-five million, ninety-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 17991541 35983082 71966164 89957705 179915410 359830820 521754689 1043509378 2087018756 2608773445 5217546890 10435093780