Search a number
-
+
417131807196 = 223137141119161
BaseRepresentation
bin1100001000111101111…
…11100100000111011100
31110212200122002100101110
412010132333210013130
523313241220312241
6515343330142020
742064625600526
oct6043677440734
91425618070343
10417131807196
111509a5037745
1268a14721910
1330448a30970
1416291592a16
15acb5959816
hex611efe41dc

417131807196 has 96 divisors (see below), whose sum is σ = 1063315040256. Its totient is φ = 126495936000.

The previous prime is 417131807153. The next prime is 417131807203. The reversal of 417131807196 is 691708131714.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45528856 + ... + 45538016.

It is an arithmetic number, because the mean of its divisors is an integer number (11076198336).

Almost surely, 2417131807196 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 417131807196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531657520128).

417131807196 is an abundant number, since it is smaller than the sum of its proper divisors (646183233060).

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

417131807196 is a wasteful number, since it uses less digits than its factorization.

417131807196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13363 (or 13361 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 417131807196 in words is "four hundred seventeen billion, one hundred thirty-one million, eight hundred seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 4111 5538 8222 9161 11076 12333 16444 18322 24666 27483 36644 49332 53443 54966 106886 109932 119093 160329 213772 238186 291881 320658 357279 476372 583762 641316 650431 714558 875643 1167524 1300862 1429116 1751286 1951293 2601724 3502572 3794453 3902586 7588906 7805172 8455603 11383359 15177812 16911206 22766718 25366809 33822412 37660871 45533436 50733618 75321742 101467236 112982613 150643484 225965226 451930452 489591323 979182646 1468773969 1958365292 2673921841 2937547938 5347843682 5875095876 8021765523 10695687364 16043531046 32087062092 34760983933 69521967866 104282951799 139043935732 208565903598 417131807196