Search a number
-
+
409392098108 = 2271719132134267
BaseRepresentation
bin1011111010100011010…
…10111010101100111100
31110010201020110101111022
411331101222322230330
523201413334114413
6512023325243312
741402055263150
oct5752152725474
91403636411438
10409392098108
11148693191754
1267414703538
132c7b43c4346
1415b596c3060
15a9b1227608
hex5f51abab3c

409392098108 has 96 divisors (see below), whose sum is σ = 913294287360. Its totient is φ = 156318750720.

The previous prime is 409392097973. The next prime is 409392098153. The reversal of 409392098108 is 801890293904.

It is a self number, because there is not a number n which added to its sum of digits gives 409392098108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11929991 + ... + 11964257.

It is an arithmetic number, because the mean of its divisors is an integer number (9513482160).

Almost surely, 2409392098108 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 409392098108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456647143680).

409392098108 is an abundant number, since it is smaller than the sum of its proper divisors (503902189252).

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

409392098108 is a wasteful number, since it uses less digits than its factorization.

409392098108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35635 (or 35633 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 409392098108 in words is "four hundred nine billion, three hundred ninety-two million, ninety-eight thousand, one hundred eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 1321 2261 2642 4522 5284 9044 9247 18494 22457 25099 34267 36988 44914 50198 68534 89828 100396 137068 157199 175693 239869 314398 351386 426683 479738 582539 628796 651073 702772 853366 959476 1165078 1302146 1706732 2330156 2604292 2986781 4077773 4557511 5973562 8155546 9115022 11068241 11947124 16311092 18230044 22136482 44272964 45266707 77477687 90533414 154955374 181066828 309910748 316866949 633733898 769534019 860067433 1267467796 1539068038 1720134866 3078136076 3440269732 5386738133 6020472031 10773476266 12040944062 14621146361 21546952532 24081888124 29242292722 58484585444 102348024527 204696049054 409392098108