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5341681400 = 2352112428037
BaseRepresentation
bin1001111100110001…
…11001011011111000
3111210021022112022212
410332120321123320
541414432301100
62242014434252
7246241354106
oct47630713370
914707275285
105341681400
1122a1270330
121050b02988
13671891633
14389604c76
15213e4a635
hex13e6396f8

5341681400 has 48 divisors (see below), whose sum is σ = 13548452040. Its totient is φ = 1942428800.

The previous prime is 5341681399. The next prime is 5341681403. The reversal of 5341681400 is 41861435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341681403) 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, 1211819 + ... + 1216218.

Almost surely, 25341681400 is an apocalyptic number.

5341681400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5341681400 is an abundant number, since it is smaller than the sum of its proper divisors (8206770640).

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

5341681400 is a wasteful number, since it uses less digits than its factorization.

5341681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428064 (or 2428055 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5341681400 is about 73086.8072910563. The cubic root of 5341681400 is about 1748.0720427555.

The spelling of 5341681400 in words is "five billion, three hundred forty-one million, six hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2428037 4856074 9712148 12140185 19424296 24280370 26708407 48560740 53416814 60700925 97121480 106833628 121401850 133542035 213667256 242803700 267084070 485607400 534168140 667710175 1068336280 1335420350 2670840700 5341681400