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90628454448 = 2434761389421
BaseRepresentation
bin101010001100111100…
…0000111100000110000
322122221001102111120000
41110121320013200300
52441101341020243
6105344550150000
76355600103160
oct1243170074060
9278831374500
1090628454448
1135487444234
1215693352300
1387140a150c
14455a5705a0
15255661a5d3
hex1519e07830

90628454448 has 400 divisors, whose sum is σ = 306200431680. Its totient is φ = 25343539200.

The previous prime is 90628454437. The next prime is 90628454491. The reversal of 90628454448 is 84445482609.

It is a happy number.

90628454448 is a `hidden beast` number, since 9 + 0 + 628 + 4 + 5 + 4 + 4 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 90628454394 and 90628454403.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215269278 + ... + 215269698.

Almost surely, 290628454448 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 90628454448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153100215840).

90628454448 is an abundant number, since it is smaller than the sum of its proper divisors (215571977232).

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

90628454448 is a wasteful number, since it uses less digits than its factorization.

90628454448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 90628454448 in words is "ninety billion, six hundred twenty-eight million, four hundred fifty-four thousand, four hundred forty-eight".