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42788040740 = 2253536199791
BaseRepresentation
bin100111110110010111…
…011011000000100100
311002102222020200101122
4213312113123000210
51200112214300430
631353452113112
73043220226314
oct476627330044
9132388220348
1042788040740
1117167808345
128361765798
13405b883203
1420dc99b444
1511a665cee5
hex9f65db024

42788040740 has 48 divisors (see below), whose sum is σ = 90264222720. Its totient is φ = 17037419520.

The previous prime is 42788040739. The next prime is 42788040761. The reversal of 42788040740 is 4704088724.

42788040740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42788040691 and 42788040700.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4365245 + ... + 4375035.

It is an arithmetic number, because the mean of its divisors is an integer number (1880504640).

Almost surely, 242788040740 is an apocalyptic number.

It is an amenable number.

42788040740 is an abundant number, since it is smaller than the sum of its proper divisors (47476181980).

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

42788040740 is a wasteful number, since it uses less digits than its factorization.

42788040740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10772 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 44.

The spelling of 42788040740 in words is "forty-two billion, seven hundred eighty-eight million, forty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 353 619 706 1238 1412 1765 2476 3095 3530 6190 7060 9791 12380 19582 39164 48955 97910 195820 218507 437014 874028 1092535 2185070 3456223 4370140 6060629 6912446 12121258 13824892 17281115 24242516 30303145 34562230 60606290 69124460 121212580 2139402037 4278804074 8557608148 10697010185 21394020370 42788040740