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90959146410 = 23511299504613
BaseRepresentation
bin101010010110110010…
…1100110110110101010
322200210002200101122110
41110231211212312222
52442241020141120
6105441442103150
76400023662526
oct1245545466652
9280702611573
1090959146410
1135637080a80
121576604aab6
138767757232
14458c452d86
15257568d2e0
hex152d966daa

90959146410 has 64 divisors (see below), whose sum is σ = 246359594880. Its totient is φ = 21290330880.

The previous prime is 90959146363. The next prime is 90959146417. The reversal of 90959146410 is 1464195909.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90959146410.

It is not an unprimeable number, because it can be changed into a prime (90959146417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4742737 + ... + 4761876.

It is an arithmetic number, because the mean of its divisors is an integer number (3849368670).

Almost surely, 290959146410 is an apocalyptic number.

90959146410 is an abundant number, since it is smaller than the sum of its proper divisors (155400448470).

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

90959146410 is a wasteful number, since it uses less digits than its factorization.

90959146410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504663.

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 90959146410 in words is "ninety billion, nine hundred fifty-nine million, one hundred forty-six thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 9504613 19009226 28513839 47523065 57027678 95046130 104550743 142569195 209101486 275633777 285138390 313652229 522753715 551267554 627304458 826901331 1045507430 1378168885 1568261145 1653802662 2756337770 3031971547 3136522290 4134506655 6063943094 8269013310 9095914641 15159857735 18191829282 30319715470 45479573205 90959146410