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103659948990 = 233513107276007
BaseRepresentation
bin110000010001010011…
…1010100101110111110
3100220120020111000102000
41200202213110232332
53144243421331430
6115342024243130
710326535012503
oct1404247245676
9326506430360
10103659948990
113aa6437aa34
121810b6104a6
139a0cb4c530
1450351774aa
152a6a6dde60
hex18229d4bbe

103659948990 has 128 divisors (see below), whose sum is σ = 300473349120. Its totient is φ = 25277733504.

The previous prime is 103659948943. The next prime is 103659949021. The reversal of 103659948990 is 99849956301.

103659948990 is a `hidden beast` number, since 1 + 0 + 3 + 65 + 9 + 9 + 489 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 237567 + ... + 513573.

It is an arithmetic number, because the mean of its divisors is an integer number (2347448040).

Almost surely, 2103659948990 is an apocalyptic number.

103659948990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103659948990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150236674560).

103659948990 is an abundant number, since it is smaller than the sum of its proper divisors (196813400130).

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

103659948990 is a wasteful number, since it uses less digits than its factorization.

103659948990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276143 (or 276137 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 103659948990 in words is "one hundred three billion, six hundred fifty-nine million, nine hundred forty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 107 117 130 135 195 214 234 270 321 351 390 535 585 642 702 963 1070 1170 1391 1605 1755 1926 2782 2889 3210 3510 4173 4815 5778 6955 8346 9630 12519 13910 14445 20865 25038 28890 37557 41730 62595 75114 125190 187785 276007 375570 552014 828021 1380035 1656042 2484063 2760070 3588091 4140105 4968126 7176182 7452189 8280210 10764273 12420315 14904378 17940455 21528546 24840630 29532749 32292819 35880910 37260945 53821365 59065498 64585638 74521890 88598247 96878457 107642730 147663745 161464095 177196494 193756914 265794741 295327490 322928190 383925737 442991235 484392285 531589482 767851474 797384223 885982470 968784570 1151777211 1328973705 1594768446 1919628685 2303554422 2657947410 3455331633 3839257370 3986921115 5758886055 6910663266 7973842230 10365994899 11517772110 17276658165 20731989798 34553316330 51829974495 103659948990