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13924273152 = 210321292
BaseRepresentation
bin11001111011111001…
…11000110000000000
31022221101222100212110
430331330320300000
5212004103220102
610221405255320
71002025240356
oct147574706000
938841870773
1013924273152
1159a5986569
122847264540
13140ba167aa
149614037d6
1556767586c
hex33df38c00

13924273152 has 66 divisors (see below), whose sum is σ = 37130704948. Its totient is φ = 4639244288.

The previous prime is 13924273109. The next prime is 13924273171. The reversal of 13924273152 is 25137242931.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13924273152.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6539224 + ... + 6541352.

Almost surely, 213924273152 is an apocalyptic number.

13924273152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13924273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565352474).

13924273152 is an abundant number, since it is smaller than the sum of its proper divisors (23206431796).

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

13924273152 is an frugal number, since it uses more digits than its factorization.

13924273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 2134 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The spelling of 13924273152 in words is "thirteen billion, nine hundred twenty-four million, two hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2129 3072 4258 6387 8516 12774 17032 25548 34064 51096 68128 102192 136256 204384 272512 408768 545024 817536 1090048 1635072 2180096 3270144 4532641 6540288 9065282 13597923 18130564 27195846 36261128 54391692 72522256 108783384 145044512 217566768 290089024 435133536 580178048 870267072 1160356096 1740534144 2320712192 3481068288 4641424384 6962136576 13924273152