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1074220316832 = 253133797239831
BaseRepresentation
bin11111010000111001000…
…01010011100010100000
310210200202021001011200110
433220130201103202200
5120100000400114312
62141253501251320
7140416116015255
oct17503441234240
93720667034613
101074220316832
11384635400513
12154236263b40
137a3b5b83590
1439dc776342c
151ce2261b43c
hexfa1c8538a0

1074220316832 has 192 divisors, whose sum is σ = 3150978050304. Its totient is φ = 318279352320.

The previous prime is 1074220316797. The next prime is 1074220316879. The reversal of 1074220316832 is 2386130224701.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 4359157 + ... + 4598987.

It is an arithmetic number, because the mean of its divisors is an integer number (16411344012).

Almost surely, 21074220316832 is an apocalyptic number.

1074220316832 is a gapful number since it is divisible by the number (12) 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 1074220316832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575489025152).

1074220316832 is an abundant number, since it is smaller than the sum of its proper divisors (2076757733472).

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

1074220316832 is a wasteful number, since it uses less digits than its factorization.

1074220316832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239991 (or 239983 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 1074220316832 in words is "one trillion, seventy-four billion, two hundred twenty million, three hundred sixteen thousand, eight hundred thirty-two".