Search a number
-
+
10455053440 = 275131256617
BaseRepresentation
bin10011011110010101…
…10111010010000000
3222222122000202002111
421233022313102000
5132402443202230
64445240025104
7520041326236
oct115712672200
928878022074
1010455053440
114485672437
122039462194
13ca8066370
14712778956
15412ce892a
hex26f2b7480

10455053440 has 64 divisors (see below), whose sum is σ = 26916757560. Its totient is φ = 3860324352.

The previous prime is 10455053437. The next prime is 10455053473. The reversal of 10455053440 is 4435055401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4127805504 + 6327247936 = 64248^2 + 79544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619989 + ... + 636628.

Almost surely, 210455053440 is an apocalyptic number.

10455053440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10455053440 is an abundant number, since it is smaller than the sum of its proper divisors (16461704120).

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

10455053440 is a wasteful number, since it uses less digits than its factorization.

10455053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256649 (or 1256637 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 10455053440 in words is "ten billion, four hundred fifty-five million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1256617 2513234 5026468 6283085 10052936 12566170 16336021 20105872 25132340 32672042 40211744 50264680 65344084 80423488 81680105 100529360 130688168 160846976 163360210 201058720 261376336 326720420 402117440 522752672 653440840 804234880 1045505344 1306881680 2091010688 2613763360 5227526720 10455053440