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10757385840 = 243544822441
BaseRepresentation
bin10100000010011000…
…01010111001110000
31000202200220211011210
422001030022321300
5134012342321330
64535240040120
7530402161635
oct120114127160
930680824153
1010757385840
11462029a223
122102763040
13102589c986
1474099818c
1542e6188b0
hex28130ae70

10757385840 has 40 divisors (see below), whose sum is σ = 33347896848. Its totient is φ = 2868636160.

The previous prime is 10757385823. The next prime is 10757385853. The reversal of 10757385840 is 4858375701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107573858402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10757385840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22410981 + ... + 22411460.

Almost surely, 210757385840 is an apocalyptic number.

10757385840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10757385840 is an abundant number, since it is smaller than the sum of its proper divisors (22590511008).

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

10757385840 is a wasteful number, since it uses less digits than its factorization.

10757385840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44822457 (or 44822451 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 10757385840 in words is "ten billion, seven hundred fifty-seven million, three hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 44822441 89644882 134467323 179289764 224112205 268934646 358579528 448224410 537869292 672336615 717159056 896448820 1075738584 1344673230 1792897640 2151477168 2689346460 3585795280 5378692920 10757385840