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104360784024 = 23373127173943
BaseRepresentation
bin110000100110001100…
…0110011000010011000
3100222101002020010100010
41201030120303002120
53202212330042044
6115535341441520
710353105012360
oct1411430630230
9328332203303
10104360784024
1140293a3a742
12182862702a0
139ac20c1a13
1450a028b9a0
152aabec8bb9
hex184c633098

104360784024 has 128 divisors (see below), whose sum is σ = 308932116480. Its totient is φ = 28748649600.

The previous prime is 104360784023. The next prime is 104360784049. The reversal of 104360784024 is 420487063401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104360784023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374397 + ... + 1448339.

It is an arithmetic number, because the mean of its divisors is an integer number (2413532160).

Almost surely, 2104360784024 is an apocalyptic number.

104360784024 is a gapful number since it is divisible by the number (14) 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 104360784024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154466058240).

104360784024 is an abundant number, since it is smaller than the sum of its proper divisors (204571332456).

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

104360784024 is a wasteful number, since it uses less digits than its factorization.

104360784024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74261 (or 74257 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 104360784024 in words is "one hundred four billion, three hundred sixty million, seven hundred eighty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 271 372 434 542 651 744 813 868 1084 1302 1626 1736 1897 2168 2604 3252 3794 5208 5691 6504 7588 8401 11382 15176 16802 22764 25203 33604 45528 50406 58807 67208 73943 100812 117614 147886 176421 201624 221829 235228 295772 352842 443658 470456 517601 591544 705684 887316 1035202 1411368 1552803 1774632 2070404 2292233 3105606 4140808 4584466 6211212 6876699 9168932 12422424 13753398 16045631 18337864 20038553 27506796 32091262 40077106 48136893 55013592 60115659 64182524 80154212 96273786 120231318 128365048 140269871 160308424 192547572 240462636 280539742 385095144 420809613 480925272 561079484 621195143 841619226 1122158968 1242390286 1683238452 1863585429 2484780572 3366476904 3727170858 4348366001 4969561144 7454341716 8696732002 13045098003 14908683432 17393464004 26090196006 34786928008 52180392012 104360784024