Search a number
-
+
629036040000 = 26354171916229
BaseRepresentation
bin10010010011101010111…
…10000011111101000000
32020010122121021201100010
421021311132003331000
540301231211240000
61200550345224520
763306046055604
oct11116536037500
92203577251303
10629036040000
1122285549a175
12a1ab2a92140
13474193c3674
1422634683504
1511569033d50
hex9275783f40

629036040000 has 560 divisors, whose sum is σ = 2318119214400. Its totient is φ = 149557248000.

The previous prime is 629036039977. The next prime is 629036040047. The reversal of 629036040000 is 40630926.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 629036040000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38751886 + ... + 38768114.

Almost surely, 2629036040000 is an apocalyptic number.

629036040000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629036040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159059607200).

629036040000 is an abundant number, since it is smaller than the sum of its proper divisors (1689083174400).

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

629036040000 is a wasteful number, since it uses less digits than its factorization.

629036040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16300 (or 16275 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 629036040000 its reverse (40630926), we get a palindrome (629076670926).

The spelling of 629036040000 in words is "six hundred twenty-nine billion, thirty-six million, forty thousand".