Search a number
-
+
553430311400 = 2352171511077971
BaseRepresentation
bin10000000110110110000…
…01000110000111101000
31221220111111202202110202
420003123001012013220
533031411124431100
61102124204131332
754661343013101
oct10033301060750
91856444682422
10553430311400
111a3787a8a24a
128b312836b48
134025a797255
141cb013713a8
15e5e171b7d5
hex80db0461e8

553430311400 has 96 divisors (see below), whose sum is σ = 1371439097280. Its totient is φ = 206970240000.

The previous prime is 553430311397. The next prime is 553430311409. The reversal of 553430311400 is 4113034355.

It is not an unprimeable number, because it can be changed into a prime (553430311409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25586 + ... + 1052385.

It is an arithmetic number, because the mean of its divisors is an integer number (14285823930).

Almost surely, 2553430311400 is an apocalyptic number.

553430311400 is a gapful number since it is divisible by the number (50) 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 553430311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685719548640).

553430311400 is an abundant number, since it is smaller than the sum of its proper divisors (818008785880).

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

553430311400 is a wasteful number, since it uses less digits than its factorization.

553430311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078155 (or 1078146 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 553430311400 its reverse (4113034355), we get a palindrome (557543345755).

The spelling of 553430311400 in words is "five hundred fifty-three billion, four hundred thirty million, three hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 151 170 200 302 340 425 604 680 755 850 1208 1510 1700 2567 3020 3400 3775 5134 6040 7550 10268 12835 15100 20536 25670 30200 51340 64175 102680 128350 256700 513400 1077971 2155942 4311884 5389855 8623768 10779710 18325507 21559420 26949275 36651014 43118840 53898550 73302028 91627535 107797100 146604056 162773621 183255070 215594200 325547242 366510140 458137675 651094484 733020280 813868105 916275350 1302188968 1627736210 1832550700 2767151557 3255472420 3665101400 4069340525 5534303114 6510944840 8138681050 11068606228 13835757785 16277362100 22137212456 27671515570 32554724200 55343031140 69178788925 110686062280 138357577850 276715155700 553430311400