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7412498742 = 23112379113547
BaseRepresentation
bin1101110011101000…
…11100000100110110
3201010120220221200110
412321310130010312
5110140044424432
63223311323450
7351455125335
oct67164340466
921116827613
107412498742
113164187020
12152a520586
1391190253c
14504655d1c
152d5b4adcc
hex1b9d1c136

7412498742 has 128 divisors (see below), whose sum is σ = 17272258560. Its totient is φ = 2098736640.

The previous prime is 7412498741. The next prime is 7412498749. The reversal of 7412498742 is 2478942147.

It is a junction number, because it is equal to n+sod(n) for n = 7412498691 and 7412498700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7412498741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13550913 + ... + 13551459.

It is an arithmetic number, because the mean of its divisors is an integer number (134939520).

Almost surely, 27412498742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7412498742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636129280).

7412498742 is an abundant number, since it is smaller than the sum of its proper divisors (9859759818).

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

7412498742 is a wasteful number, since it uses less digits than its factorization.

7412498742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778.

The product of its digits is 903168, while the sum is 48.

The square root of 7412498742 is about 86095.8694828039. The cubic root of 7412498742 is about 1949.7916711035.

The spelling of 7412498742 in words is "seven billion, four hundred twelve million, four hundred ninety-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 79 113 138 158 226 237 253 339 474 506 547 678 759 869 1094 1243 1518 1641 1738 1817 2486 2599 2607 3282 3634 3729 5198 5214 5451 6017 7458 7797 8927 10902 12034 12581 15594 17854 18051 19987 25162 26781 28589 36102 37743 39974 43213 53562 57178 59961 61811 75486 85767 86426 98197 119922 123622 129639 138391 171534 185433 196394 205321 259278 276782 294591 370866 410642 415173 475343 589182 615963 679921 830346 950686 993899 1231926 1359842 1421653 1426029 1987798 2039763 2258531 2843306 2852058 2981697 4079526 4264959 4517062 4883069 5963394 6775593 8529918 9766138 10932889 13551186 14649207 15638183 21865778 29298414 31276366 32798667 46914549 53713759 65597334 93829098 107427518 112310587 161141277 224621174 322282554 336931761 673863522 1235416457 2470832914 3706249371 7412498742