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7142748690 = 23571119116189
BaseRepresentation
bin1101010011011110…
…11011001000010010
3200102210100020011210
412221233123020102
5104112020424230
63140433520550
7342001235130
oct65157331022
920383306153
107142748690
1130359938a0
121474113156
1389aa6641c
144ba8b8750
152bc114eb0
hex1a9bdb212

7142748690 has 128 divisors (see below), whose sum is σ = 21485813760. Its totient is φ = 1476345600.

The previous prime is 7142748677. The next prime is 7142748709. The reversal of 7142748690 is 968472417.

It is a super-2 number, since 2×71427486902 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 433116 + ... + 449304.

It is an arithmetic number, because the mean of its divisors is an integer number (167857920).

Almost surely, 27142748690 is an apocalyptic number.

7142748690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142748690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10742906880).

7142748690 is an abundant number, since it is smaller than the sum of its proper divisors (14343065070).

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

7142748690 is a wasteful number, since it uses less digits than its factorization.

7142748690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16408.

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 7142748690 is about 84514.7838546606. The cubic root of 7142748690 is about 1925.8470384869.

The spelling of 7142748690 in words is "seven billion, one hundred forty-two million, seven hundred forty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 191 210 231 330 382 385 462 573 770 955 1146 1155 1337 1910 2101 2310 2674 2865 4011 4202 5730 6303 6685 8022 10505 12606 13370 14707 16189 20055 21010 29414 31515 32378 40110 44121 48567 63030 73535 80945 88242 97134 113323 147070 161890 178079 220605 226646 242835 339969 356158 441210 485670 534237 566615 679938 890395 1068474 1133230 1246553 1699845 1780790 2493106 2671185 3092099 3399690 3739659 5342370 6184198 6232765 7479318 9276297 12465530 15460495 18552594 18698295 21644693 30920990 34013089 37396590 43289386 46381485 64934079 68026178 92762970 102039267 108223465 129868158 170065445 204078534 216446930 238091623 324670395 340130890 476183246 510196335 649340790 714274869 1020392670 1190458115 1428549738 2380916230 3571374345 7142748690