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13812612960 = 253531928267
BaseRepresentation
bin11001101110100101…
…11011111101100000
31022122121212102212210
430313102323331200
5211242012103320
610202340122120
7666201162426
oct146722737540
938577772783
1013812612960
115948950613
122815996340
1313c184c883
14950659116
1555c96b0e0
hex3374bbf60

13812612960 has 96 divisors (see below), whose sum is σ = 44913318912. Its totient is φ = 3564541440.

The previous prime is 13812612953. The next prime is 13812612973. The reversal of 13812612960 is 6921621831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449254 + ... + 479013.

It is an arithmetic number, because the mean of its divisors is an integer number (467847072).

Almost surely, 213812612960 is an apocalyptic number.

13812612960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13812612960 is an abundant number, since it is smaller than the sum of its proper divisors (31100705952).

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

13812612960 is a wasteful number, since it uses less digits than its factorization.

13812612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928316 (or 928308 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 13812612960 in words is "thirteen billion, eight hundred twelve million, six hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 928267 1856534 2784801 3713068 4641335 5569602 7426136 9282670 11139204 13924005 14852272 18565340 22278408 27848010 28776277 29704544 37130680 44556816 55696020 57552554 74261360 86328831 89113632 111392040 115105108 143881385 148522720 172657662 222784080 230210216 287762770 345315324 431644155 445568160 460420432 575525540 690630648 863288310 920840864 1151051080 1381261296 1726576620 2302102160 2762522592 3453153240 4604204320 6906306480 13812612960