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45999691291008 = 27327132148722699
BaseRepresentation
bin10100111010110001000110…
…10000100101100110000000
320000212112020120120112002100
422131120203100211212000
522012124331432303013
6241455544430350400
712455240142423540
oct1235304320454600
9200775216515070
1045999691291008
11137253a5584924
1251ab06b65b400
131c889a199a700
14b5057b2a9320
1554b856a25473
hex29d623425980

45999691291008 has 576 divisors, whose sum is σ = 163928097216000. Its totient is φ = 12123094044672.

The previous prime is 45999691290989. The next prime is 45999691291049. The reversal of 45999691291008 is 80019219699954.

45999691291008 is a `hidden beast` number, since 4 + 599 + 9 + 6 + 9 + 1 + 29 + 1 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2026496043 + ... + 2026518741.

It is an arithmetic number, because the mean of its divisors is an integer number (284597391000).

Almost surely, 245999691291008 is an apocalyptic number.

45999691291008 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 45999691291008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81964048608000).

45999691291008 is an abundant number, since it is smaller than the sum of its proper divisors (117928405924992).

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

45999691291008 is a wasteful number, since it uses less digits than its factorization.

45999691291008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24239 (or 24211 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 72.

The spelling of 45999691291008 in words is "forty-five trillion, nine hundred ninety-nine billion, six hundred ninety-one million, two hundred ninety-one thousand, eight".