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90243972288 = 2633192748659
BaseRepresentation
bin101010000001011110…
…1011011110011000000
322121221020221210012000
41110002331123303000
52434304424103123
6105242453304000
76343221052011
oct1240275336300
9277836853160
1090243972288
11352aa408088
12155a6635000
138682534192
144521489008
1525329beb43
hex1502f5bcc0

90243972288 has 112 divisors (see below), whose sum is σ = 279263856000. Its totient is φ = 28498086144.

The previous prime is 90243972263. The next prime is 90243972289. The reversal of 90243972288 is 88227934209.

It is a happy number.

90243972288 is a `hidden beast` number, since 9 + 0 + 24 + 397 + 228 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (90243972289) by changing a digit.

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, 1341498 + ... + 1407161.

Almost surely, 290243972288 is an apocalyptic number.

It is an amenable number.

90243972288 is an abundant number, since it is smaller than the sum of its proper divisors (189019883712).

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

90243972288 is a wasteful number, since it uses less digits than its factorization.

90243972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748699 (or 2748683 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 90243972288 in words is "ninety billion, two hundred forty-three million, nine hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 2748659 5497318 8245977 10994636 16491954 21989272 24737931 32983908 43978544 49475862 52224521 65967816 74213793 87957088 98951724 104449042 131935632 148427586 156673563 175914176 197903448 208898084 263871264 296855172 313347126 395806896 417796168 470020689 527742528 593710344 626694252 791613792 835592336 940041378 1187420688 1253388504 1410062067 1583227584 1671184672 1880082756 2374841376 2506777008 2820124134 3342369344 3760165512 4749682752 5013554016 5640248268 7520331024 10027108032 11280496536 15040662048 22560993072 30081324096 45121986144 90243972288