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102286456320 = 293513318549
BaseRepresentation
bin101111101000010111…
…1110111011000000000
3100210000112000100200010
41133100233313120000
53133440313100240
6114553441424520
710250516350626
oct1372057673000
9323015010603
10102286456320
113a41a046624
12179a763b140
139851422089
144d449a5516
1529d9d33280
hex17d0bf7600

102286456320 has 80 divisors (see below), whose sum is σ = 326997039600. Its totient is φ = 27276386304.

The previous prime is 102286456201. The next prime is 102286456339. The reversal of 102286456320 is 23654682201.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 6651595 + ... + 6666954.

It is an arithmetic number, because the mean of its divisors is an integer number (4087462995).

Almost surely, 2102286456320 is an apocalyptic number.

102286456320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102286456320 is an abundant number, since it is smaller than the sum of its proper divisors (224710583280).

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

102286456320 is an equidigital number, since it uses as much as digits as its factorization.

102286456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13318575 (or 13318559 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 102286456320 in words is "one hundred two billion, two hundred eighty-six million, four hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 13318549 26637098 39955647 53274196 66592745 79911294 106548392 133185490 159822588 199778235 213096784 266370980 319645176 399556470 426193568 532741960 639290352 799112940 852387136 1065483920 1278580704 1598225880 1704774272 2130967840 2557161408 3196451760 3409548544 4261935680 5114322816 6392903520 6819097088 8523871360 10228645632 12785807040 17047742720 20457291264 25571614080 34095485440 51143228160 102286456320