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90110433856 = 2615722392
BaseRepresentation
bin101001111101100000…
…0000001101001000000
322121120221200022220011
41103323000001221000
52434021232340411
6105221323154304
76340010023102
oct1237300015100
9277527608804
1090110433856
1135240a99743
1215569975994
138660979c61
14450b847572
152525de2c21
hex14fb001a40

90110433856 has 63 divisors (see below), whose sum is σ = 180715199529. Its totient is φ = 44580926208.

The previous prime is 90110433839. The next prime is 90110433857. The reversal of 90110433856 is 65833401109.

The square root of 90110433856 is 300184.

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

It can be written as a sum of positive squares in only one way, i.e., 26412750400 + 63697683456 = 162520^2 + 252384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90110433857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 377030985 + ... + 377031223.

Almost surely, 290110433856 is an apocalyptic number.

90110433856 is the 300184-th square number.

It is an amenable number.

90110433856 is an abundant number, since it is smaller than the sum of its proper divisors (90604765673).

90110433856 is an frugal number, since it uses more digits than its factorization.

90110433856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 90110433856 in words is "ninety billion, one hundred ten million, four hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 157 239 314 478 628 956 1256 1912 2512 3824 5024 7648 10048 15296 24649 37523 49298 57121 75046 98596 114242 150092 197192 228484 300184 394384 456968 600368 788768 913936 1200736 1577536 1827872 2401472 3655744 5891111 8967997 11782222 17935994 23564444 35871988 47128888 71743976 94257776 143487952 188515552 286975904 377031104 573951808 1407975529 2815951058 5631902116 11263804232 22527608464 45055216928 90110433856