Search a number
-
+
38605085604 = 223237127228211
BaseRepresentation
bin100011111101000010…
…101101101110100100
310200122110021112200100
4203331002231232210
51113030400214404
625422424544100
72534445545661
oct437502555644
9120573245610
1038605085604
1115410623228
127594922030
133843094827
141c23220a68
15100e2e8d39
hex8fd0adba4

38605085604 has 72 divisors (see below), whose sum is σ = 101012108288. Its totient is φ = 12421926720.

The previous prime is 38605085593. The next prime is 38605085611. The reversal of 38605085604 is 40658050683.

38605085604 is a `hidden beast` number, since 3 + 86 + 0 + 5 + 0 + 8 + 560 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38605085604.

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 23 ways as a sum of consecutive naturals, for example, 55059 + ... + 283269.

Almost surely, 238605085604 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 38605085604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50506054144).

38605085604 is an abundant number, since it is smaller than the sum of its proper divisors (62407022684).

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

38605085604 is a wasteful number, since it uses less digits than its factorization.

38605085604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228385 (or 228380 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 38605085604 in words is "thirty-eight billion, six hundred five million, eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 127 148 222 254 333 381 444 508 666 762 1143 1332 1524 2286 4572 4699 9398 14097 18796 28194 42291 56388 84582 169164 228211 456422 684633 912844 1369266 2053899 2738532 4107798 8215596 8443807 16887614 25331421 28982797 33775228 50662842 57965594 75994263 86948391 101325684 115931188 151988526 173896782 260845173 303977052 347793564 521690346 1043380692 1072363489 2144726978 3217090467 4289453956 6434180934 9651271401 12868361868 19302542802 38605085604