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90835933752 = 23322354852617
BaseRepresentation
bin101010010011000111…
…1100101101000111000
322200110111211112122200
41110212033211220320
52442012444340002
6105421321150200
76363666461124
oct1244617455070
9280414745580
1090835933752
1135583575533
121573092b360
138748076c35
144579d3c584
152569950b1c
hex15263e5a38

90835933752 has 48 divisors (see below), whose sum is σ = 256710252240. Its totient is φ = 28962181248.

The previous prime is 90835933709. The next prime is 90835933753. The reversal of 90835933752 is 25733953809.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90835933753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27424653 + ... + 27427964.

It is an arithmetic number, because the mean of its divisors is an integer number (5348130255).

Almost surely, 290835933752 is an apocalyptic number.

90835933752 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

90835933752 is an abundant number, since it is smaller than the sum of its proper divisors (165874318488).

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

90835933752 is a wasteful number, since it uses less digits than its factorization.

90835933752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54852652 (or 54852645 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 90835933752 in words is "ninety billion, eight hundred thirty-five million, nine hundred thirty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 54852617 109705234 164557851 219410468 329115702 438820936 493673553 658231404 987347106 1261610191 1316462808 1974694212 2523220382 3784830573 3949388424 5046440764 7569661146 10092881528 11354491719 15139322292 22708983438 30278644584 45417966876 90835933752