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2047703760400 = 2452715492
BaseRepresentation
bin11101110011000100101…
…001111011111000010000
321020202110222212222000211
4131303010221323320100
5232022144130313100
64204411354053504
7300641002530514
oct35630451737020
97222428788024
102047703760400
1171a476431061
12290a37a1a294
1311b13667772c
1471176250144
15383eae951ba
hex1dcc4a7be10

2047703760400 has 45 divisors (see below), whose sum is σ = 4919677043911. Its totient is φ = 819070056320.

The previous prime is 2047703760397. The next prime is 2047703760407. The reversal of 2047703760400 is 40673077402.

The square root of 2047703760400 is 1430980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 638867701264 + 1408836059136 = 799292^2 + 1186944^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2047703760407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28583826 + ... + 28655374.

Almost surely, 22047703760400 is an apocalyptic number.

2047703760400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2047703760400 is the 1430980-th square number.

It is an amenable number.

2047703760400 is an abundant number, since it is smaller than the sum of its proper divisors (2871973283511).

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

2047703760400 is an frugal number, since it uses more digits than its factorization.

2047703760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143116 (or 71556 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The spelling of 2047703760400 in words is "two trillion, forty-seven billion, seven hundred three million, seven hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 71549 143098 286196 357745 572392 715490 1144784 1430980 1788725 2861960 3577450 5723920 7154900 14309800 28619600 5119259401 10238518802 20477037604 25596297005 40954075208 51192594010 81908150416 102385188020 127981485025 204770376040 255962970050 409540752080 511925940100 1023851880200 2047703760400