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58904446144 = 2631173171617
BaseRepresentation
bin110110110110111110…
…101000010011000000
312122001011002220101111
4312312332220103000
51431114014234034
643021010413104
74153464350065
oct666676502300
9178034086344
1058904446144
1122a8802a255
12b4bab91194
1357297a517b
142bcb190c6c
1517eb499364
hexdb6fa84c0

58904446144 has 56 divisors (see below), whose sum is σ = 121357266048. Its totient is φ = 28337233920.

The previous prime is 58904446103. The next prime is 58904446147. The reversal of 58904446144 is 44164440985.

58904446144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58904446147) 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, 257424 + ... + 429040.

Almost surely, 258904446144 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 58904446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60678633024).

58904446144 is an abundant number, since it is smaller than the sum of its proper divisors (62452819904).

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

58904446144 is a wasteful number, since it uses less digits than its factorization.

58904446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171833 (or 171823 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 58904446144 in words is "fifty-eight billion, nine hundred four million, four hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 173 248 346 496 692 992 1384 1984 2768 5363 5536 10726 11072 21452 42904 85808 171616 171617 343232 343234 686468 1372936 2745872 5320127 5491744 10640254 10983488 21280508 29689741 42561016 59379482 85122032 118758964 170244064 237517928 340488128 475035856 920381971 950071712 1840763942 1900143424 3681527884 7363055768 14726111536 29452223072 58904446144