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1042664903280 = 2433571113482233
BaseRepresentation
bin11110010110000111010…
…10111101001001110000
310200200022002222002001000
433023003222331021300
5114040334203401110
62114554343242000
7135221131306110
oct17130352751160
93620262862030
101042664903280
11372212179240
1214a0aa449300
1377427496a40
143867290d040
151c1c719e1c0
hexf2c3abd270

1042664903280 has 640 divisors, whose sum is σ = 4822031370240. Its totient is φ = 199991255040.

The previous prime is 1042664903263. The next prime is 1042664903297. The reversal of 1042664903280 is 823094662401.

1042664903280 is a `hidden beast` number, since 1 + 0 + 426 + 64 + 90 + 3 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1042664903263) and next prime (1042664903297).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1921044 + ... + 2403276.

It is an arithmetic number, because the mean of its divisors is an integer number (7534424016).

Almost surely, 21042664903280 is an apocalyptic number.

1042664903280 is a gapful number since it is divisible by the number (10) 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 1042664903280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411015685120).

1042664903280 is an abundant number, since it is smaller than the sum of its proper divisors (3779366466960).

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

1042664903280 is a wasteful number, since it uses less digits than its factorization.

1042664903280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482286 (or 482274 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1042664903280 in words is "one trillion, forty-two billion, six hundred sixty-four million, nine hundred three thousand, two hundred eighty".