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107376152850 = 23352151526741
BaseRepresentation
bin110010000000000011…
…1100001000100010010
3101021011020011201202000
41210000013201010102
53224401243342400
6121154455334430
710520611145211
oct1440007410422
9337136151660
10107376152850
11415a104799a
1218988081416
13a182a27725
1452a8935078
152bd6aa6600
hex19001e1112

107376152850 has 96 divisors (see below), whose sum is σ = 297840996480. Its totient is φ = 28443960000.

The previous prime is 107376152801. The next prime is 107376152881. The reversal of 107376152850 is 58251673701.

It is a happy number.

107376152850 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 7 + 615 + 28 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107376152796 and 107376152805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59521 + ... + 467220.

It is an arithmetic number, because the mean of its divisors is an integer number (3102510380).

Almost surely, 2107376152850 is an apocalyptic number.

107376152850 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 107376152850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148920498240).

107376152850 is an abundant number, since it is smaller than the sum of its proper divisors (190464843630).

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

107376152850 is a wasteful number, since it uses less digits than its factorization.

107376152850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526913 (or 526902 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 107376152850 in words is "one hundred seven billion, three hundred seventy-six million, one hundred fifty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 151 225 270 302 450 453 675 755 906 1350 1359 1510 2265 2718 3775 4077 4530 6795 7550 8154 11325 13590 20385 22650 33975 40770 67950 101925 203850 526741 1053482 1580223 2633705 3160446 4740669 5267410 7901115 9481338 13168525 14222007 15802230 23703345 26337050 28444014 39505575 47406690 71110035 79011150 79537891 118516725 142220070 159075782 237033450 238613673 355550175 397689455 477227346 711100350 715841019 795378910 1193068365 1431682038 1988447275 2147523057 2386136730 3579205095 3976894550 4295046114 5965341825 7158410190 10737615285 11930683650 17896025475 21475230570 35792050950 53688076425 107376152850