Search a number
-
+
3689810172 = 22372111999
BaseRepresentation
bin1101101111101110…
…0000100011111100
3100112011000210000000
43123323200203330
530024042411142
61410045234300
7160302604026
oct33373404374
910464023000
103689810172
11162388aaa4
1286b862990
1346a596839
1427008b016
15168e0214c
hexdbee08fc

3689810172 has 96 divisors (see below), whose sum is σ = 9735040000. Its totient is φ = 1223495280.

The previous prime is 3689810143. The next prime is 3689810191. The reversal of 3689810172 is 2710189863.

It is a super-2 number, since 2×36898101722 = 27229398210789339168, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1844829 + ... + 1846827.

Almost surely, 23689810172 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 3689810172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867520000).

3689810172 is an abundant number, since it is smaller than the sum of its proper divisors (6045229828).

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

3689810172 is a wasteful number, since it uses less digits than its factorization.

3689810172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 3689810172 is about 60743.8076844052. The cubic root of 3689810172 is about 1545.2592118576.

The spelling of 3689810172 in words is "three billion, six hundred eighty-nine million, eight hundred ten thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 243 324 422 486 633 729 844 972 1266 1458 1899 1999 2187 2532 2916 3798 3998 4374 5697 5997 7596 7996 8748 11394 11994 17091 17991 22788 23988 34182 35982 51273 53973 68364 71964 102546 107946 153819 161919 205092 215892 307638 323838 421789 461457 485757 615276 647676 843578 922914 971514 1265367 1457271 1687156 1845828 1943028 2530734 2914542 3796101 4371813 5061468 5829084 7592202 8743626 11388303 15184404 17487252 22776606 34164909 45553212 68329818 102494727 136659636 204989454 307484181 409978908 614968362 922452543 1229936724 1844905086 3689810172