Search a number
-
+
1780720640672 = 25311999020509
BaseRepresentation
bin11001111010011011001…
…110001010001010100000
320022020100111001020101012
4121322123032022022200
5213133403441000142
63442015103200052
7242436626463251
oct31723316121240
96266314036335
101780720640672
11627221418676
122491478a6028
13cbbc8c5588c
146228a0b4b28
15314c21da882
hex19e9b38a2a0

1780720640672 has 48 divisors (see below), whose sum is σ = 3637069632000. Its totient is φ = 857309080320.

The previous prime is 1780720640659. The next prime is 1780720640687. The reversal of 1780720640672 is 2760460270871.

It is a super-3 number, since 3×17807206406723 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1780720640672.

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 7 ways as a sum of consecutive naturals, for example, 4312847 + ... + 4707662.

It is an arithmetic number, because the mean of its divisors is an integer number (75772284000).

Almost surely, 21780720640672 is an apocalyptic number.

It is an amenable number.

1780720640672 is an abundant number, since it is smaller than the sum of its proper divisors (1856348991328).

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

1780720640672 is a wasteful number, since it uses less digits than its factorization.

1780720640672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020749 (or 9020741 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

The spelling of 1780720640672 in words is "one trillion, seven hundred eighty billion, seven hundred twenty million, six hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 124 199 248 398 496 796 992 1592 3184 6169 6368 12338 24676 49352 98704 197408 9020509 18041018 36082036 72164072 144328144 279635779 288656288 559271558 1118543116 1795081291 2237086232 3590162582 4474172464 7180325164 8948344928 14360650328 28721300656 55647520021 57442601312 111295040042 222590080084 445180160168 890360320336 1780720640672