Search a number
-
+
1064944906032 = 243747735771601
BaseRepresentation
bin11110111111100111010…
…10011010111100110000
310202210210211201111002010
433133303222122330300
5114422001343443112
62133121241122520
7136640220226260
oct17376352327460
93683724644063
101064944906032
11380705700057
12152487a89440
1379568334717
14397879397a0
151ca7d18b63c
hexf7f3a9af30

1064944906032 has 320 divisors, whose sum is σ = 3262683746304. Its totient is φ = 293024563200.

The previous prime is 1064944905991. The next prime is 1064944906061. The reversal of 1064944906032 is 2306094494601.

It is a super-2 number, since 2×10649449060322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665174032 + ... + 665175632.

Almost surely, 21064944906032 is an apocalyptic number.

1064944906032 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 1064944906032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631341873152).

1064944906032 is an abundant number, since it is smaller than the sum of its proper divisors (2197738840272).

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

1064944906032 is a wasteful number, since it uses less digits than its factorization.

1064944906032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 1064944906032 in words is "one trillion, sixty-four billion, nine hundred forty-four million, nine hundred six thousand, thirty-two".