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2074324426240 = 2951173662089
BaseRepresentation
bin11110001011110111010…
…111101101111000000000
321100022012020100220102111
4132023313113231320000
5232441204023114430
64224533111225104
7302602456463263
oct36136727557000
97308166326374
102074324426240
1172a797074340
12296027078194
131207b98a1201
147257d94acda
1538e58099c2a
hex1e2f75ede00

2074324426240 has 80 divisors (see below), whose sum is σ = 5425654901040. Its totient is φ = 754299781120.

The previous prime is 2074324426193. The next prime is 2074324426241. The reversal of 2074324426240 is 426244234702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2074324426193 and 2074324426202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074324426241) 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 7 ways as a sum of consecutive naturals, for example, 36802885 + ... + 36859204.

It is an arithmetic number, because the mean of its divisors is an integer number (67820686263).

Almost surely, 22074324426240 is an apocalyptic number.

2074324426240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2074324426240 is an abundant number, since it is smaller than the sum of its proper divisors (3351330474800).

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

2074324426240 is an equidigital number, since it uses as much as digits as its factorization.

2074324426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73662123 (or 73662107 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 40.

The spelling of 2074324426240 in words is "two trillion, seventy-four billion, three hundred twenty-four million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 73662089 147324178 294648356 368310445 589296712 736620890 810282979 1178593424 1473241780 1620565958 2357186848 2946483560 3241131916 4051414895 4714373696 5892967120 6482263832 8102829790 9428747392 11785934240 12964527664 16205659580 18857494784 23571868480 25929055328 32411319160 37714989568 47143736960 51858110656 64822638320 94287473920 103716221312 129645276640 188574947840 207432442624 259290553280 414864885248 518581106560 1037162213120 2074324426240