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1070170004640 = 253511537435147
BaseRepresentation
bin11111001001010110001…
…10100101110010100000
310210022021222122222212210
433210223012211302200
5120013202010122030
62135343533122120
7140213544644022
oct17445306456240
93708258588783
101070170004640
11382947082a70
121534a5929340
1379bbb9c7649
1439b21874012
151cc86c58bb0
hexf92b1a5ca0

1070170004640 has 384 divisors, whose sum is σ = 3752651814912. Its totient is φ = 254148177920.

The previous prime is 1070170004639. The next prime is 1070170004663. The reversal of 1070170004640 is 464000710701.

It is a super-2 number, since 2×10701700046402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1070170004598 and 1070170004607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207918547 + ... + 207923693.

It is an arithmetic number, because the mean of its divisors is an integer number (9772530768).

Almost surely, 21070170004640 is an apocalyptic number.

1070170004640 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 1070170004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876325907456).

1070170004640 is an abundant number, since it is smaller than the sum of its proper divisors (2682481810272).

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

1070170004640 is a wasteful number, since it uses less digits than its factorization.

1070170004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 1070170004640 in words is "one trillion, seventy billion, one hundred seventy million, four thousand, six hundred forty".