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166703668352 = 2713601166693
BaseRepresentation
bin1001101101000001010…
…0000001110010000000
3120221021212100210011222
42123100110001302000
510212402114341402
6204325502054212
715021033541544
oct2332024016200
9527255323158
10166703668352
1164775969441
122838487a368
131294905a6a0
1480d5d73a24
15450a26e7a2
hex26d0501c80

166703668352 has 64 divisors (see below), whose sum is σ = 358248743160. Its totient is φ = 76811673600.

The previous prime is 166703668333. The next prime is 166703668379. The reversal of 166703668352 is 253866307661.

It can be written as a sum of positive squares in 4 ways, for example, as 115746926656 + 50956741696 = 340216^2 + 225736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1667036683522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166703668294 and 166703668303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 916718 + ... + 1083410.

Almost surely, 2166703668352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166703668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179124371580).

166703668352 is an abundant number, since it is smaller than the sum of its proper divisors (191545074808).

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

166703668352 is a wasteful number, since it uses less digits than its factorization.

166703668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167321 (or 167309 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 166703668352 in words is "one hundred sixty-six billion, seven hundred three million, six hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 601 832 1202 1664 2404 4808 7813 9616 15626 19232 31252 38464 62504 76928 125008 166693 250016 333386 500032 666772 1000064 1333544 2167009 2667088 4334018 5334176 8668036 10668352 17336072 21336704 34672144 69344288 100182493 138688576 200364986 277377152 400729972 801459944 1302372409 1602919888 2604744818 3205839776 5209489636 6411679552 10418979272 12823359104 20837958544 41675917088 83351834176 166703668352