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20037374663040 = 273457431284131
BaseRepresentation
bin1001000111001010100001…
…00110010101100110000000
32121221112222002111002220000
410203211100212111212000
510111243020403204130
6110341013130520000
74135436552304030
oct443452046254600
977845862432800
1020037374663040
116425891695609
1222b7464296000
13b24693491977
144d3b57cad8c0
1524b341135260
hex123950995980

20037374663040 has 640 divisors, whose sum is σ = 83681437720320. Its totient is φ = 4473456906240.

The previous prime is 20037374662891. The next prime is 20037374663051. The reversal of 20037374663040 is 4036647373002.

20037374663040 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 7 + 3 + 7 + 4 + 6 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14961775 + ... + 16245905.

It is an arithmetic number, because the mean of its divisors is an integer number (130752246438).

Almost surely, 220037374663040 is an apocalyptic number.

20037374663040 is a gapful number since it is divisible by the number (20) 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 20037374663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41840718860160).

20037374663040 is an abundant number, since it is smaller than the sum of its proper divisors (63644063057280).

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

20037374663040 is a wasteful number, since it uses less digits than its factorization.

20037374663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284212 (or 1284191 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 20037374663040 in words is "twenty trillion, thirty-seven billion, three hundred seventy-four million, six hundred sixty-three thousand, forty".