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201394760000 = 26547719267
BaseRepresentation
bin1011101110010000010…
…0000010100101000000
3201020211112202211112012
42323210010002211000
511244424024310000
6232304112352052
720356515133460
oct2734404024500
9636745684465
10201394760000
1178458101015
1233046845628
1315cb7284855
149a6742bba0
15538ab31735
hex2ee4102940

201394760000 has 140 divisors (see below), whose sum is σ = 570736280928. Its totient is φ = 69049536000.

The previous prime is 201394759949. The next prime is 201394760003. The reversal of 201394760000 is 67493102.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201394760003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 79634 + ... + 639633.

Almost surely, 2201394760000 is an apocalyptic number.

201394760000 is a gapful number since it is divisible by the number (20) 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 201394760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285368140464).

201394760000 is an abundant number, since it is smaller than the sum of its proper divisors (369341520928).

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

201394760000 is an frugal number, since it uses more digits than its factorization.

201394760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719306 (or 719281 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 201394760000 in words is "two hundred one billion, three hundred ninety-four million, seven hundred sixty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 70000 140000 280000 719267 1438534 2877068 3596335 5034869 5754136 7192670 10069738 11508272 14385340 17981675 20139476 23016544 25174345 28770680 35963350 40278952 46033088 50348690 57541360 71926700 80557904 89908375 100697380 115082720 125871725 143853400 161115808 179816750 201394760 230165440 251743450 287706800 322231616 359633500 402789520 449541875 503486900 575413600 629358625 719267000 805579040 899083750 1006973800 1150827200 1258717250 1438534000 1611158080 1798167500 2013947600 2517434500 2877068000 3146793125 3596335000 4027895200 5034869000 5754136000 6293586250 7192670000 8055790400 10069738000 12587172500 14385340000 20139476000 25174345000 28770680000 40278952000 50348690000 100697380000 201394760000