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90044571552 = 25313367196597
BaseRepresentation
bin101001111011100010…
…0110001111110100000
322121102100202011210120
41103313010301332200
52433402402242202
6105211011400240
76335250141525
oct1236704617640
9277370664716
1090044571552
11352078a4391
121554b8b3080
138650129890
144502bc114c
1525202330bc
hex14f7131fa0

90044571552 has 96 divisors (see below), whose sum is σ = 255243969792. Its totient is φ = 27630388224.

The previous prime is 90044571499. The next prime is 90044571557. The reversal of 90044571552 is 25517544009.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (90044571557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359718 + ... + 556314.

It is an arithmetic number, because the mean of its divisors is an integer number (2658791352).

Almost surely, 290044571552 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 90044571552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127621984896).

90044571552 is an abundant number, since it is smaller than the sum of its proper divisors (165199398240).

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

90044571552 is a wasteful number, since it uses less digits than its factorization.

90044571552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196990 (or 196982 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

It can be divided in two parts, 9004457 and 1552, that added together give a palindrome (9006009).

The spelling of 90044571552 in words is "ninety billion, forty-four million, five hundred seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 367 416 624 734 1101 1248 1468 2202 2936 4404 4771 5872 8808 9542 11744 14313 17616 19084 28626 35232 38168 57252 76336 114504 152672 196597 229008 393194 458016 589791 786388 1179582 1572776 2359164 2555761 3145552 4718328 5111522 6291104 7667283 9436656 10223044 15334566 18873312 20446088 30669132 40892176 61338264 72151099 81784352 122676528 144302198 216453297 245353056 288604396 432906594 577208792 865813188 937964287 1154417584 1731626376 1875928574 2308835168 2813892861 3463252752 3751857148 5627785722 6926505504 7503714296 11255571444 15007428592 22511142888 30014857184 45022285776 90044571552