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103828243584 = 2731320798927
BaseRepresentation
bin110000010110010100…
…1010100010010000000
3100220222222011021012010
41200230221110102000
53200120012243314
6115410435332520
710333650336342
oct1405451242200
9326888137163
10103828243584
114004037817a
1218157a51140
139a38985530
14504d665292
152a7a384059
hex182ca54480

103828243584 has 64 divisors (see below), whose sum is σ = 297008691840. Its totient is φ = 31947150336.

The previous prime is 103828243583. The next prime is 103828243661. The reversal of 103828243584 is 485342828301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (103828243583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10394472 + ... + 10404455.

It is an arithmetic number, because the mean of its divisors is an integer number (4640760810).

Almost surely, 2103828243584 is an apocalyptic number.

It is an amenable number.

103828243584 is an abundant number, since it is smaller than the sum of its proper divisors (193180448256).

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

103828243584 is a wasteful number, since it uses less digits than its factorization.

103828243584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20798957 (or 20798945 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 103828243584 in words is "one hundred three billion, eight hundred twenty-eight million, two hundred forty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 20798927 41597854 62396781 83195708 124793562 166391416 249587124 270386051 332782832 499174248 540772102 665565664 811158153 998348496 1081544204 1331131328 1622316306 1996696992 2163088408 2662262656 3244632612 3993393984 4326176816 6489265224 7986787968 8652353632 12978530448 17304707264 25957060896 34609414528 51914121792 103828243584