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9859731880441 = 31219925092
BaseRepresentation
bin1000111101111010010111…
…0100001111100111111001
31021220120200200000111012011
42033132211310033213321
52243020212330133231
632545255344245521
72035225230115312
oct217364564174771
937816620014164
109859731880441
113161541670773
121132a703108a1
135669cbb7b601
142612dc069609
1512171a90d9b1
hex8f7a5d0f9f9

9859731880441 has 27 divisors (see below), whose sum is σ = 10259657521263. Its totient is φ = 9475076167920.

The previous prime is 9859731880393. The next prime is 9859731880489. The reversal of 9859731880441 is 1440881379589.

The square root of 9859731880441 is 3140021.

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

It is an interprime number because it is at equal distance from previous prime (9859731880393) and next prime (9859731880489).

It can be written as a sum of positive squares in only one way, i.e., 8017794328041 + 1841937552400 = 2831571^2 + 1357180^2 .

It is not a de Polignac number, because 9859731880441 - 211 = 9859731878393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9859731880541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19370789295 + ... + 19370789803.

Almost surely, 29859731880441 is an apocalyptic number.

9859731880441 is the 3140021-st square number.

9859731880441 is the 1570011-st centered octagonal number.

It is an amenable number.

9859731880441 is a deficient number, since it is larger than the sum of its proper divisors (399925640822).

9859731880441 is an frugal number, since it uses more digits than its factorization.

9859731880441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 67.

The spelling of 9859731880441 in words is "nine trillion, eight hundred fifty-nine billion, seven hundred thirty-one million, eight hundred eighty thousand, four hundred forty-one".

Divisors: 1 31 199 509 961 6169 15779 39601 101291 191239 259081 489149 1227631 3140021 8031511 20156909 38056561 51557119 97340651 248976841 624864179 1598270689 10259866681 19370789549 49546391359 318055867111 9859731880441