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90722751683872 = 2571137019948473
BaseRepresentation
bin10100101000001100001001…
…011000110001110100100000
3102220020000021112212222002111
4110220030021120301310200
543342400143412340442
6520541242354325104
725052334234441220
oct2450141130616440
9386200245788074
1090722751683872
11269a8337208680
12a212815b89794
133b81170c436b9
14185900c918080
15a74d91043b17
hex528309631d20

90722751683872 has 96 divisors (see below), whose sum is σ = 222743308523904. Its totient is φ = 35336972544000.

The previous prime is 90722751683833. The next prime is 90722751683923. The reversal of 90722751683872 is 27838615722709.

It is a super-2 number, since 2×907227516838722 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90722751683798 and 90722751683807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4145028 + ... + 14093500.

It is an arithmetic number, because the mean of its divisors is an integer number (2320242797124).

Almost surely, 290722751683872 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 90722751683872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111371654261952).

90722751683872 is an abundant number, since it is smaller than the sum of its proper divisors (132020556840032).

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

90722751683872 is a wasteful number, since it uses less digits than its factorization.

90722751683872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952202 (or 9952194 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 67.

The spelling of 90722751683872 in words is "ninety trillion, seven hundred twenty-two billion, seven hundred fifty-one million, six hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 3701 7402 14804 25907 29608 40711 51814 59216 81422 103628 118432 162844 207256 284977 325688 414512 569954 651376 829024 1139908 1302752 2279816 4559632 9119264 9948473 19896946 39793892 69639311 79587784 109433203 139278622 159175568 218866406 278557244 318351136 437732812 557114488 766032421 875465624 1114228976 1532064842 1750931248 2228457952 3064129684 3501862496 6128259368 12256518736 24513037472 36819298573 73638597146 147277194292 257735090011 294554388584 405012284303 515470180022 589108777168 810024568606 1030940360044 1178217554336 1620049137212 2061880720088 2835085990121 3240098274424 4123761440176 5670171980242 6480196548848 8247522880352 11340343960484 12960393097696 22680687920968 45361375841936 90722751683872