Search a number
-
+
56054310400 = 295211398113
BaseRepresentation
bin110100001101000110…
…001110011000000000
312100200112002000011101
4310031012032120000
51404244400413100
641430114224144
74023035530324
oct641506163000
9170615060141
1056054310400
1121855219070
12aa44585054
135394172b0a
1429da839984
1516d115986a
hexd0d18e600

56054310400 has 120 divisors (see below), whose sum is σ = 151504671384. Its totient is φ = 20383334400.

The previous prime is 56054310379. The next prime is 56054310419. The reversal of 56054310400 is 401345065.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58257 + ... + 339856.

Almost surely, 256054310400 is an apocalyptic number.

56054310400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56054310400 is an abundant number, since it is smaller than the sum of its proper divisors (95450360984).

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

56054310400 is a wasteful number, since it uses less digits than its factorization.

56054310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398152 (or 398131 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 56054310400 its reverse (401345065), we get a palindrome (56455655465).

The spelling of 56054310400 in words is "fifty-six billion, fifty-four million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2560 2816 3200 3520 4400 5632 6400 7040 8800 12800 14080 17600 28160 35200 70400 140800 398113 796226 1592452 1990565 3184904 3981130 4379243 6369808 7962260 8758486 9952825 12739616 15924520 17516972 19905650 21896215 25479232 31849040 35033944 39811300 43792430 50958464 63698080 70067888 79622600 87584860 101916928 109481075 127396160 140135776 159245200 175169720 203833856 218962150 254792320 280271552 318490400 350339440 437924300 509584640 560543104 636980800 700678880 875848600 1019169280 1121086208 1273961600 1401357760 1751697200 2242172416 2547923200 2802715520 3503394400 5095846400 5605431040 7006788800 11210862080 14013577600 28027155200 56054310400