Search a number
-
+
10426608908676 = 2232307217532
BaseRepresentation
bin1001011110111010001001…
…0100011111100110000100
31100220202220022011020102100
42113232202110133212010
52331312143340034201
634101530142312100
72124204042262452
oct227564224374604
940822808136370
1010426608908676
11335a9999a9334
1212048b6288630
135a82c0434a2c
1428091720b9d2
151313478bc886
hex97ba251f984

10426608908676 has 81 divisors (see below), whose sum is σ = 26457373214181. Its totient is φ = 3462239173824.

The previous prime is 10426608908659. The next prime is 10426608908693. The reversal of 10426608908676 is 67680980662401.

The square root of 10426608908676 is 3229026.

It is a perfect power (a square), and thus also a powerful number.

10426608908676 is a `hidden beast` number, since 1 + 0 + 426 + 60 + 8 + 9 + 0 + 86 + 76 = 666.

10426608908676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10426608908659) and next prime (10426608908693).

It can be written as a sum of positive squares in only one way, i.e., 295272692100 + 10131336216576 = 543390^2 + 3182976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5947865016 + ... + 5947866768.

Almost surely, 210426608908676 is an apocalyptic number.

10426608908676 is the 3229026-th square number.

It is an amenable number.

10426608908676 is an abundant number, since it is smaller than the sum of its proper divisors (16030764305505).

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

10426608908676 is an frugal number, since it uses more digits than its factorization.

10426608908676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 10426608908676 in words is "ten trillion, four hundred twenty-six billion, six hundred eight million, nine hundred eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 307 614 921 1228 1753 1842 2763 3506 3684 5259 5526 7012 10518 11052 15777 21036 31554 63108 94249 188498 282747 376996 538171 565494 848241 1076342 1130988 1614513 1696482 2152684 3073009 3229026 3392964 4843539 6146018 6458052 9219027 9687078 12292036 18438054 19374156 27657081 36876108 55314162 110628324 165218497 330436994 495655491 660873988 943413763 991310982 1486966473 1886827526 1982621964 2830241289 2973932946 3773655052 5660482578 5947865892 8490723867 11320965156 16981447734 33962895468 289628025241 579256050482 868884075723 1158512100964 1737768151446 2606652227169 3475536302892 5213304454338 10426608908676