Search a number
-
+
10083237124472 = 2341791672330143
BaseRepresentation
bin1001001010111010111111…
…0001000101100101111000
31022200221121010120021210022
42102232233301011211320
52310200432200440342
633240101501310012
72060330005256501
oct222565761054570
938627533507708
1010083237124472
11323830553a686
12116a247865308
13581acab298b5
1426c061b97ba8
1512744c6e49d2
hex92bafc45978

10083237124472 has 64 divisors (see below), whose sum is σ = 19729795276800. Its totient is φ = 4827308578560.

The previous prime is 10083237124463. The next prime is 10083237124481. The reversal of 10083237124472 is 27442173238001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10083237124463) and next prime (10083237124481).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3162233 + ... + 5492375.

It is an arithmetic number, because the mean of its divisors is an integer number (308278051200).

Almost surely, 210083237124472 is an apocalyptic number.

It is an amenable number.

10083237124472 is a deficient number, since it is larger than the sum of its proper divisors (9646558152328).

10083237124472 is a wasteful number, since it uses less digits than its factorization.

10083237124472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330436 (or 2330432 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 10083237124472 in words is "ten trillion, eighty-three billion, two hundred thirty-seven million, one hundred twenty-four thousand, four hundred seventy-two".

Divisors: 1 2 4 8 41 79 82 158 164 167 316 328 334 632 668 1336 3239 6478 6847 12956 13193 13694 25912 26386 27388 52772 54776 105544 540913 1081826 2163652 2330143 4327304 4660286 9320572 18641144 95535863 184081297 191071726 368162594 382143452 389133881 736325188 764286904 778267762 1472650376 1556535524 3113071048 7547333177 15094666354 15954489121 30189332708 30741576599 31908978242 60378665416 61483153198 63817956484 122966306396 127635912968 245932612792 1260404640559 2520809281118 5041618562236 10083237124472