Search a number
-
+
1796766690432 = 27372127751901
BaseRepresentation
bin11010001001010111101…
…000111110110010000000
320100202202202112000120110
4122021113220332302000
5213414234233043212
63453231225511320
7243545360606400
oct32112750766200
96322682460513
101796766690432
11633005a5631a
12250285642540
1310058541318c
1462d6d1d2800
1531b10c7aa3c
hex1a257a3ec80

1796766690432 has 192 divisors, whose sum is σ = 5595594531840. Its totient is φ = 509319014400.

The previous prime is 1796766690431. The next prime is 1796766690469. The reversal of 1796766690432 is 2340966676971.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×17967666904324 (a number of 50 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1796766690431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2013682 + ... + 2765582.

It is an arithmetic number, because the mean of its divisors is an integer number (29143721520).

Almost surely, 21796766690432 is an apocalyptic number.

1796766690432 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 1796766690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797797265920).

1796766690432 is an abundant number, since it is smaller than the sum of its proper divisors (3798827841408).

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

1796766690432 is a wasteful number, since it uses less digits than its factorization.

1796766690432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752059 (or 752040 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 66.

The spelling of 1796766690432 in words is "one trillion, seven hundred ninety-six billion, seven hundred sixty-six million, six hundred ninety thousand, four hundred thirty-two".