Search a number
-
+
106465000404 = 22372618348407
BaseRepresentation
bin110001100100111001…
…1101111101111010100
3101011210201200101120010
41203021303233233110
53221020020003104
6120524230240220
710456205400120
oct1431163575724
9334721611503
10106465000404
1141173798644
1218772ab6070
13a069027a79
14521d914580
152b81ac5489
hex18c9cefbd4

106465000404 has 48 divisors (see below), whose sum is σ = 283923376128. Its totient is φ = 30416781408.

The previous prime is 106465000333. The next prime is 106465000417. The reversal of 106465000404 is 404000564601.

It is a super-2 number, since 2×1064650004042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175169 + ... + 2223575.

It is an arithmetic number, because the mean of its divisors is an integer number (5915070336).

Almost surely, 2106465000404 is an apocalyptic number.

106465000404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106465000404 is an abundant number, since it is smaller than the sum of its proper divisors (177458375724).

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

106465000404 is a wasteful number, since it uses less digits than its factorization.

106465000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74604 (or 74602 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 106465000404 in words is "one hundred six billion, four hundred sixty-five million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 26183 48407 52366 78549 96814 104732 145221 157098 183281 193628 290442 314196 338849 366562 549843 580884 677698 733124 1016547 1099686 1355396 2033094 2199372 4066188 1267440481 2534880962 3802321443 5069761924 7604642886 8872083367 15209285772 17744166734 26616250101 35488333468 53232500202 106465000404