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10243772244 = 223454158441
BaseRepresentation
bin10011000101001001…
…11000111101010100
3222102220110112210000
421202210320331110
5131434401202434
64412251331300
7511564425126
oct114244707524
928386415700
1010243772244
114387384782
121b9a750b30
13c7335c2c4
146d269b216
153ee4b1b99
hex262938f54

10243772244 has 60 divisors (see below), whose sum is σ = 26829202708. Its totient is φ = 3408220800.

The previous prime is 10243772207. The next prime is 10243772251. The reversal of 10243772244 is 44227734201.

It can be written as a sum of positive squares in 2 ways, for example, as 7310250000 + 2933522244 = 85500^2 + 54162^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10243772199 and 10243772208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 146064 + ... + 204504.

Almost surely, 210243772244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10243772244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414601354).

10243772244 is an abundant number, since it is smaller than the sum of its proper divisors (16585430464).

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

10243772244 is a wasteful number, since it uses less digits than its factorization.

10243772244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58998 (or 58987 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 10243772244 in words is "ten billion, two hundred forty-three million, seven hundred seventy-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 541 1082 1623 2164 3246 4869 6492 9738 14607 19476 29214 43821 58428 58441 87642 116882 175284 175323 233764 350646 525969 701292 1051938 1577907 2103876 3155814 4733721 6311628 9467442 18934884 31616581 63233162 94849743 126466324 189699486 284549229 379398972 569098458 853647687 1138196916 1707295374 2560943061 3414590748 5121886122 10243772244