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438138716970 = 235411402925391
BaseRepresentation
bin1100110000000110001…
…10100100001100101010
31112212220122021221011210
412120003012210030222
524134302002420340
6533140025133550
743440325434453
oct6300306441452
91485818257153
10438138716970
111598a49799a9
1270ab792a2b6
1332415bc48a6
14172c54a412a
15b5e4cbe180
hex66031a432a

438138716970 has 64 divisors (see below), whose sum is σ = 1077299274240. Its totient is φ = 113974694400.

The previous prime is 438138716927. The next prime is 438138717043. The reversal of 438138716970 is 79617831834.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 438138716970.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17242975 + ... + 17268365.

It is an arithmetic number, because the mean of its divisors is an integer number (16832801160).

Almost surely, 2438138716970 is an apocalyptic number.

438138716970 is an abundant number, since it is smaller than the sum of its proper divisors (639160557270).

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

438138716970 is a wasteful number, since it uses less digits than its factorization.

438138716970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39471.

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 438138716970 in words is "four hundred thirty-eight billion, one hundred thirty-eight million, seven hundred sixteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 14029 25391 28058 42087 50782 70145 76173 84174 126955 140290 152346 210435 253910 380865 420870 575189 761730 1041031 1150378 1725567 2082062 2875945 3123093 3451134 5205155 5751890 6246186 8627835 10410310 15615465 17255670 31230930 356210339 712420678 1068631017 1781051695 2137262034 3562103390 5343155085 10686310170 14604623899 29209247798 43813871697 73023119495 87627743394 146046238990 219069358485 438138716970