Search a number
-
+
202430403904 = 266779597577
BaseRepresentation
bin1011110010000111001…
…0101101010101000000
3201100111201111222212211
42330201302231111000
511304034140411104
6232554550031504
720424262020451
oct2744162552500
9640451458784
10202430403904
117893975a673
1233295648594
13161209c18b1
149b24bb7128
1553eba03e04
hex2f21cad540

202430403904 has 56 divisors (see below), whose sum is σ = 412854688640. Its totient is φ = 98442279936.

The previous prime is 202430403887. The next prime is 202430403979. The reversal of 202430403904 is 409304034202.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 39964 + ... + 637540.

Almost surely, 2202430403904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202430403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206427344320).

202430403904 is an abundant number, since it is smaller than the sum of its proper divisors (210424284736).

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

202430403904 is an equidigital number, since it uses as much as digits as its factorization.

202430403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597735 (or 597725 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 202430403904 in words is "two hundred two billion, four hundred thirty million, four hundred three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 67 79 134 158 268 316 536 632 1072 1264 2144 2528 4288 5056 5293 10586 21172 42344 84688 169376 338752 597577 1195154 2390308 4780616 9561232 19122464 38244928 40037659 47208583 80075318 94417166 160150636 188834332 320301272 377668664 640602544 755337328 1281205088 1510674656 2562410176 3021349312 3162975061 6325950122 12651900244 25303800488 50607600976 101215201952 202430403904