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45658948608 = 2103271354443
BaseRepresentation
bin101010100001011111…
…000100010000000000
311100212001100220121200
4222201133010100000
51222002142323413
632550405421200
73204320442150
oct524137042000
9140761326550
1045658948608
1118400316979
128a2310a800
1343c85a9270
1422d1d9c760
1512c3702573
hexaa17c4400

45658948608 has 264 divisors, whose sum is σ = 162266639808. Its totient is φ = 12041699328.

The previous prime is 45658948607. The next prime is 45658948669. The reversal of 45658948608 is 80684985654.

45658948608 is a `hidden beast` number, since 4 + 5 + 6 + 589 + 48 + 6 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45658948607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811435 + ... + 865877.

Almost surely, 245658948608 is an apocalyptic number.

45658948608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45658948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81133319904).

45658948608 is an abundant number, since it is smaller than the sum of its proper divisors (116607691200).

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

45658948608 is a wasteful number, since it uses less digits than its factorization.

45658948608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54489 (or 54468 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 45658948608 in words is "forty-five billion, six hundred fifty-eight million, nine hundred forty-eight thousand, six hundred eight".