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4149422802 = 236722412
BaseRepresentation
bin1111011101010011…
…0010101011010010
3101201011212112000000
43313110302223102
531444223012202
61523424310430
7204553340400
oct36724625322
911634775000
104149422802
11183a271848
12979772416
1351187a985
142b512c470
1519443d91c
hexf7532ad2

4149422802 has 126 divisors (see below), whose sum is σ = 10900743669. Its totient is φ = 1180630080.

The previous prime is 4149422789. The next prime is 4149422813. The reversal of 4149422802 is 2082249414.

It can be written as a sum of positive squares in 2 ways, for example, as 3866476761 + 282946041 = 62181^2 + 16821^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45549.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 17217402 + ... + 17217642.

Almost surely, 24149422802 is an apocalyptic number.

4149422802 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149422802

4149422802 is an abundant number, since it is smaller than the sum of its proper divisors (6751320867).

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

4149422802 is an frugal number, since it uses more digits than its factorization.

4149422802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4149422802 is about 64416.0135525321. The cubic root of 4149422802 is about 1606.9260692273.

The spelling of 4149422802 in words is "four billion, one hundred forty-nine million, four hundred twenty-two thousand, eight hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 241 243 294 378 441 482 486 567 723 729 882 1134 1323 1446 1458 1687 1701 2169 2646 3374 3402 3969 4338 5061 5103 6507 7938 10122 10206 11809 11907 13014 15183 19521 23618 23814 30366 35427 35721 39042 45549 58081 58563 70854 71442 91098 106281 116162 117126 136647 174243 175689 212562 273294 318843 348486 351378 406567 409941 522729 637686 813134 819882 956529 1045458 1219701 1229823 1568187 1913058 2439402 2459646 2845969 2869587 3136374 3659103 4704561 5691938 5739174 7318206 8537907 8608761 9409122 10977309 14113683 17075814 17217522 21954618 25613721 28227366 32931927 42341049 51227442 65863854 76841163 84682098 98795781 153682326 197591562 230523489 296387343 461046978 592774686 691570467 1383140934 2074711401 4149422802