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14802492312 = 23333121110477
BaseRepresentation
bin11011100100100110…
…00001101110011000
31102012121111112002000
431302103001232120
5220303414223222
610444500441000
71032551052156
oct156223015630
942177445060
1014802492312
116306691623
122a513a9160
13151b9552ba
14a05cd03d6
155b97ed9ac
hex3724c1b98

14802492312 has 128 divisors (see below), whose sum is σ = 42649651200. Its totient is φ = 4751913600.

The previous prime is 14802492311. The next prime is 14802492337. The reversal of 14802492312 is 21329420841.

It is a super-2 number, since 2×148024923122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14802492311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407618 + ... + 1418094.

It is an arithmetic number, because the mean of its divisors is an integer number (333200400).

Almost surely, 214802492312 is an apocalyptic number.

14802492312 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 14802492312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21324825600).

14802492312 is an abundant number, since it is smaller than the sum of its proper divisors (27847158888).

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

14802492312 is a wasteful number, since it uses less digits than its factorization.

14802492312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10734 (or 10724 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14802492312 in words is "fourteen billion, eight hundred two million, four hundred ninety-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 211 216 248 279 372 422 558 633 744 837 844 1116 1266 1674 1688 1899 2232 2532 3348 3798 5064 5697 6541 6696 7596 10477 11394 13082 15192 19623 20954 22788 26164 31431 39246 41908 45576 52328 58869 62862 78492 83816 94293 117738 125724 156984 176607 188586 235476 251448 282879 324787 353214 377172 470952 565758 649574 706428 754344 974361 1131516 1299148 1412856 1948722 2210647 2263032 2598296 2923083 3897444 4421294 5846166 6631941 7794888 8769249 8842588 11692332 13263882 17538498 17685176 19895823 23384664 26527764 35076996 39791646 53055528 59687469 68530057 70153992 79583292 119374938 137060114 159166584 205590171 238749876 274120228 411180342 477499752 548240456 616770513 822360684 1233541026 1644721368 1850311539 2467082052 3700623078 4934164104 7401246156 14802492312