Search a number
-
+
13330334754 = 2341119393713
BaseRepresentation
bin11000110101000110…
…01100010000100010
31021102000101011120000
430122203030100202
5204300031203004
610042431200430
7651223655502
oct143243142042
937360334500
1013330334754
115720698890
122700376116
131345960c59
14906597a02
15530453c39
hex31a8cc422

13330334754 has 80 divisors (see below), whose sum is σ = 34300363680. Its totient is φ = 3826880640.

The previous prime is 13330334747. The next prime is 13330334761. The reversal of 13330334754 is 45743303331.

13330334754 is a `hidden beast` number, since 1 + 3 + 3 + 303 + 347 + 5 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13330334747) and next prime (13330334761).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162999 + ... + 230714.

It is an arithmetic number, because the mean of its divisors is an integer number (428754546).

Almost surely, 213330334754 is an apocalyptic number.

13330334754 is an abundant number, since it is smaller than the sum of its proper divisors (20970028926).

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

13330334754 is a wasteful number, since it uses less digits than its factorization.

13330334754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393757 (or 393748 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The spelling of 13330334754 in words is "thirteen billion, three hundred thirty million, three hundred thirty-four thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 891 1026 1254 1539 1782 1881 3078 3762 5643 11286 16929 33858 393713 787426 1181139 2362278 3543417 4330843 7086834 7480547 8661686 10630251 12992529 14961094 21260502 22441641 25985058 31890753 38977587 44883282 63781506 67324923 77955174 82286017 116932761 134649846 164572034 201974769 233865522 246858051 350798283 403949538 493716102 605924307 701596566 740574153 1211848614 1481148306 2221722459 4443444918 6665167377 13330334754