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10244446452 = 22321277222841
BaseRepresentation
bin10011000101001110…
…11101100011110100
3222102221201210121200
421202213131203310
5131440034241302
64412314012500
7511603233552
oct114247354364
928387653550
1010244446452
1143877a5279
121b9aa17130
13c73537146
146d27d4bd2
153ee59681c
hex2629dd8f4

10244446452 has 36 divisors (see below), whose sum is σ = 25916078916. Its totient is φ = 3412126080.

The previous prime is 10244446393. The next prime is 10244446477. The reversal of 10244446452 is 25464444201.

10244446452 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 4 + 4 + 4 + 645 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6158168676 + 4086277776 = 78474^2 + 63924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65449 + ... + 157392.

It is an arithmetic number, because the mean of its divisors is an integer number (719891081).

Almost surely, 210244446452 is an apocalyptic number.

10244446452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10244446452 is an abundant number, since it is smaller than the sum of its proper divisors (15671632464).

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

10244446452 is a wasteful number, since it uses less digits than its factorization.

10244446452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224128 (or 224123 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 10244446452 in words is "ten billion, two hundred forty-four million, four hundred forty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1277 2554 3831 5108 7662 11493 15324 22986 45972 222841 445682 668523 891364 1337046 2005569 2674092 4011138 8022276 284567957 569135914 853703871 1138271828 1707407742 2561111613 3414815484 5122223226 10244446452