Search a number
-
+
128763900400 = 2452321909751
BaseRepresentation
bin111011111101011101…
…1010011000111110000
3110022100202222212202011
41313322323103013300
54102202024303100
6135053041132304
712205614044302
oct1677273230760
9408322885664
10128763900400
114a676957213
1220b5692a094
13c1b0a80c55
14633725d972
153539596bba
hex1dfaed31f0

128763900400 has 30 divisors (see below), whose sum is σ = 309355271672. Its totient is φ = 51505560000.

The previous prime is 128763900389. The next prime is 128763900407. The reversal of 128763900400 is 4009367821.

It is a super-2 number, since 2×1287639004002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128763900407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160954476 + ... + 160955275.

Almost surely, 2128763900400 is an apocalyptic number.

128763900400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128763900400 is an abundant number, since it is smaller than the sum of its proper divisors (180591371272).

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

128763900400 is a wasteful number, since it uses less digits than its factorization.

128763900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321909769 (or 321909758 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 128763900400 in words is "one hundred twenty-eight billion, seven hundred sixty-three million, nine hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 321909751 643819502 1287639004 1609548755 2575278008 3219097510 5150556016 6438195020 8047743775 12876390040 16095487550 25752780080 32190975100 64381950200 128763900400