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13146864084 = 2234671394357
BaseRepresentation
bin11000011111001110…
…10011100111010100
31020221020010220010000
430033213103213110
5203411044122314
610012314531300
7643535333544
oct141747234724
936836126100
1013146864084
115637075632
12266aa36b30
131316943423
148ca079324
1551e2b2209
hex30f9d39d4

13146864084 has 120 divisors (see below), whose sum is σ = 35140471520. Its totient is φ = 4284840384.

The previous prime is 13146864043. The next prime is 13146864091. The reversal of 13146864084 is 48046864131.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3015234 + ... + 3019590.

Almost surely, 213146864084 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 13146864084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17570235760).

13146864084 is an abundant number, since it is smaller than the sum of its proper divisors (21993607436).

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

13146864084 is a wasteful number, since it uses less digits than its factorization.

13146864084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13146864084 in words is "thirteen billion, one hundred forty-six million, eight hundred sixty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 139 162 201 268 278 324 402 417 556 603 804 834 1206 1251 1668 1809 2412 2502 3618 3753 4357 5004 5427 7236 7506 8714 9313 10854 11259 13071 15012 17428 18626 21708 22518 26142 27939 37252 39213 45036 52284 55878 78426 83817 111756 117639 156852 167634 235278 251451 291919 335268 352917 470556 502902 583838 605623 705834 754353 875757 1005804 1167676 1211246 1411668 1508706 1751514 1816869 2422492 2627271 3017412 3503028 3633738 5254542 5450607 7267476 7881813 10509084 10901214 15763626 16351821 21802428 23645439 31527252 32703642 40576741 47290878 49055463 65407284 81153482 94581756 98110926 121730223 162306964 196221852 243460446 365190669 486920892 730381338 1095572007 1460762676 2191144014 3286716021 4382288028 6573432042 13146864084