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90918940153 = 5310915738089
BaseRepresentation
bin101010010101100110…
…0001110110111111001
322200200022000201000211
41110223030032313321
52442200222041103
6105433444231121
76366025145236
oct1245314166771
9280608021024
1090918940153
113561640a468
121575469b4a1
13875c31a852
144586d8878d
152571d9a36d
hex152b30edf9

90918940153 has 8 divisors (see below), whose sum is σ = 93484254600. Its totient is φ = 88385102208.

The previous prime is 90918940081. The next prime is 90918940157. The reversal of 90918940153 is 35104981909.

It can be written as a sum of positive squares in 4 ways, for example, as 7171210489 + 83747729664 = 84683^2 + 289392^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90918940153 - 29 = 90918939641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90918940097 and 90918940106.

It is not an unprimeable number, because it can be changed into a prime (90918940157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7863268 + ... + 7874821.

It is an arithmetic number, because the mean of its divisors is an integer number (11685531825).

Almost surely, 290918940153 is an apocalyptic number.

It is an amenable number.

90918940153 is a deficient number, since it is larger than the sum of its proper divisors (2565314447).

90918940153 is a wasteful number, since it uses less digits than its factorization.

90918940153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15738251.

The product of its (nonzero) digits is 349920, while the sum is 49.

The spelling of 90918940153 in words is "ninety billion, nine hundred eighteen million, nine hundred forty thousand, one hundred fifty-three".

Divisors: 1 53 109 5777 15738089 834118717 1715451701 90918940153