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47057071400 = 2352613857137
BaseRepresentation
bin101011110100110100…
…011110110100101000
311111110111011220112022
4223310310132310220
51232333102241100
633341232204012
73254055335663
oct536464366450
9144414156468
1047057071400
1118a58543259
129153399608
13458c14b461
1423c59426da
151356325e85
hexaf4d1ed28

47057071400 has 48 divisors (see below), whose sum is σ = 111201288540. Its totient is φ = 18514252800.

The previous prime is 47057071387. The next prime is 47057071403. The reversal of 47057071400 is 417075074.

It can be written as a sum of positive squares in 6 ways, for example, as 6423381316 + 40633690084 = 80146^2 + 201578^2 .

It is not an unprimeable number, because it can be changed into a prime (47057071403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1916369 + ... + 1940768.

Almost surely, 247057071400 is an apocalyptic number.

47057071400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47057071400 is an abundant number, since it is smaller than the sum of its proper divisors (64144217140).

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

47057071400 is a wasteful number, since it uses less digits than its factorization.

47057071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857214 (or 3857205 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 35.

The spelling of 47057071400 in words is "forty-seven billion, fifty-seven million, seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 3857137 7714274 15428548 19285685 30857096 38571370 77142740 96428425 154285480 192856850 235285357 385713700 470570714 771427400 941141428 1176426785 1882282856 2352853570 4705707140 5882133925 9411414280 11764267850 23528535700 47057071400