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1064232466400 = 255223212719801
BaseRepresentation
bin11110111110010010011…
…00101011011111100000
310202201222012010210122002
433133021030223133200
5114414022002411100
62132522431103132
7136613446464635
oct17371114533740
93681865123562
101064232466400
1138037a534674
12152309371aa8
137948385b1cc
143971b08418c
151ca3a85d2d5
hexf7c932b7e0

1064232466400 has 216 divisors, whose sum is σ = 2737451291904. Its totient is φ = 403958016000.

The previous prime is 1064232466399. The next prime is 1064232466457. The reversal of 1064232466400 is 46642324601.

It is a super-2 number, since 2×10642324664002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 53736500 + ... + 53756300.

Almost surely, 21064232466400 is an apocalyptic number.

1064232466400 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 1064232466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368725645952).

1064232466400 is an abundant number, since it is smaller than the sum of its proper divisors (1673218825504).

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

1064232466400 is a wasteful number, since it uses less digits than its factorization.

1064232466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19994 (or 19958 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 1064232466400 in words is "one trillion, sixty-four billion, two hundred thirty-two million, four hundred sixty-six thousand, four hundred".