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13985709354 = 23219265715391
BaseRepresentation
bin11010000011001110…
…01111110100101010
31100002200120122111100
431001213033310222
5212120320144404
610231442142230
71003402365561
oct150147176452
940080518440
1013985709354
115a27628491
122863951976
13141b677386
14969636bd8
1556cc5dd39
hex3419cfd2a

13985709354 has 48 divisors (see below), whose sum is σ = 31911310080. Its totient is φ = 4414590720.

The previous prime is 13985709347. The next prime is 13985709359. The reversal of 13985709354 is 45390758931.

13985709354 is a `hidden beast` number, since 1 + 39 + 8 + 570 + 9 + 35 + 4 = 666.

It is a super-2 number, since 2×139857093542 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13985709354.

It is not an unprimeable number, because it can be changed into a prime (13985709359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900999 + ... + 916389.

It is an arithmetic number, because the mean of its divisors is an integer number (664818960).

Almost surely, 213985709354 is an apocalyptic number.

13985709354 is an abundant number, since it is smaller than the sum of its proper divisors (17925600726).

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

13985709354 is a wasteful number, since it uses less digits than its factorization.

13985709354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18075 (or 18072 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 13985709354 in words is "thirteen billion, nine hundred eighty-five million, seven hundred nine thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 2657 5314 7971 15391 15942 23913 30782 46173 47826 50483 92346 100966 138519 151449 277038 292429 302898 454347 584858 877287 908694 1754574 2631861 5263722 40893887 81787774 122681661 245363322 368044983 736089966 776983853 1553967706 2330951559 4661903118 6992854677 13985709354