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45986548608 = 2735721113211
BaseRepresentation
bin101010110101000000…
…110000101110000000
311101200212210201100000
4222311000300232000
51223140024023413
633043111200000
73215406133200
oct526500605600
9141625721300
1045986548608
1118559231680
128ab4976000
13444b41b810
1423236b8400
1512e2364073
hexab5030b80

45986548608 has 1152 divisors, whose sum is σ = 188434995840. Its totient is φ = 10973491200.

The previous prime is 45986548603. The next prime is 45986548609. The reversal of 45986548608 is 80684568954.

45986548608 is a `hidden beast` number, since 4 + 5 + 9 + 86 + 548 + 6 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×459865486082 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45986548603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 217945623 + ... + 217945833.

It is an arithmetic number, because the mean of its divisors is an integer number (163572045).

Almost surely, 245986548608 is an apocalyptic number.

45986548608 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 45986548608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94217497920).

45986548608 is an abundant number, since it is smaller than the sum of its proper divisors (142448447232).

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

45986548608 is a wasteful number, since it uses less digits than its factorization.

45986548608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 247 counting only the distinct ones).

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

The spelling of 45986548608 in words is "forty-five billion, nine hundred eighty-six million, five hundred forty-eight thousand, six hundred eight".