Search a number
-
+
4382106189948 = 22321911356695469
BaseRepresentation
bin111111110001001001111…
…000100000000001111100
3120111220222111220100010100
4333301021320200001330
51033244023141034243
613153040051441100
7631411451014524
oct77611170400174
916456874810110
104382106189948
11143a4937806a3
125a93465b6190
1325a300206596
14112148c38684
1578ec69c40d3
hex3fc49e2007c

4382106189948 has 72 divisors (see below), whose sum is σ = 11763176115600. Its totient is φ = 1371576761856.

The previous prime is 4382106189917. The next prime is 4382106189959. The reversal of 4382106189948 is 8499816012834.

4382106189948 is a `hidden beast` number, since 4 + 3 + 8 + 2 + 1 + 0 + 618 + 9 + 9 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28270443 + ... + 28425026.

It is an arithmetic number, because the mean of its divisors is an integer number (163377446050).

Almost surely, 24382106189948 is an apocalyptic number.

It is an amenable number.

4382106189948 is an abundant number, since it is smaller than the sum of its proper divisors (7381069925652).

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

4382106189948 is a wasteful number, since it uses less digits than its factorization.

4382106189948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56695611 (or 56695606 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 4382106189948 in words is "four trillion, three hundred eighty-two billion, one hundred six million, one hundred eighty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 452 678 684 1017 1356 2034 2147 4068 4294 6441 8588 12882 19323 25764 38646 77292 56695469 113390938 170086407 226781876 340172814 510259221 680345628 1020518442 1077213911 2041036884 2154427822 3231641733 4308855644 6406587997 6463283466 9694925199 12813175994 12926566932 19219763991 19389850398 25626351988 38439527982 38779700796 57659291973 76879055964 115318583946 121725171943 230637167892 243450343886 365175515829 486900687772 730351031658 1095526547487 1460702063316 2191053094974 4382106189948