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1064582349796 = 2272736992
BaseRepresentation
bin11110111110111100000…
…11011000001111100100
310202202212120111201102101
433133132003120033210
5114420231040143141
62133021250221444
7136625225445100
oct17373603301744
93682776451371
101064582349796
11380539a8a1a9
121523a6584884
137950b1a32c4
1439751720900
151ca5b422531
hexf7de0d83e4

1064582349796 has 27 divisors (see below), whose sum is σ = 2167214904099. Its totient is φ = 456243387768.

The previous prime is 1064582349767. The next prime is 1064582349797. The reversal of 1064582349796 is 6979432854601.

The square root of 1064582349796 is 1031786.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×10645823497962 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064582349797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14408155 + ... + 14481853.

It is a 1-persistent number, because it is pandigital, but 2⋅1064582349796 = 2129164699592 is not.

Almost surely, 21064582349796 is an apocalyptic number.

1064582349796 is the 1031786-th square number.

It is an amenable number.

1064582349796 is an abundant number, since it is smaller than the sum of its proper divisors (1102632554303).

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

1064582349796 is an frugal number, since it uses more digits than its factorization.

1064582349796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147416 (or 73708 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

Multiplying 1064582349796 by its sum of digits (64), we get a square (68133270386944 = 82542882).

The spelling of 1064582349796 in words is "one trillion, sixty-four billion, five hundred eighty-two million, three hundred forty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 73699 147398 294796 515893 1031786 2063572 3611251 7222502 14445004 5431542601 10863085202 21726170404 38020798207 76041596414 152083192828 266145587449 532291174898 1064582349796