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14640072080 = 24511313711821
BaseRepresentation
bin11011010001001110…
…11100010110010000
31101210021212201101212
431220213130112100
5214440324301310
610420415315252
71025536362614
oct155047342620
941707781355
1014640072080
116232a36927
122a06b1bb28
1314c40c805a
149cc4d1344
155aa419205
hex3689dc590

14640072080 has 80 divisors (see below), whose sum is σ = 34592968944. Its totient is φ = 5761351680.

The previous prime is 14640072049. The next prime is 14640072091. The reversal of 14640072080 is 8027004641.

It can be written as a sum of positive squares in 8 ways, for example, as 4079632384 + 10560439696 = 63872^2 + 102764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 1232570 + ... + 1244390.

Almost surely, 214640072080 is an apocalyptic number.

14640072080 is a gapful number since it is divisible by the number (10) 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 14640072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17296484472).

14640072080 is an abundant number, since it is smaller than the sum of its proper divisors (19952896864).

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

14640072080 is a wasteful number, since it uses less digits than its factorization.

14640072080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12084 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 14640072080 in words is "fourteen billion, six hundred forty million, seventy-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 137 226 274 452 548 565 685 904 1096 1130 1370 1808 2192 2260 2740 4520 5480 9040 10960 11821 15481 23642 30962 47284 59105 61924 77405 94568 118210 123848 154810 189136 236420 247696 309620 472840 619240 945680 1238480 1335773 1619477 2671546 3238954 5343092 6477908 6678865 8097385 10686184 12955816 13357730 16194770 21372368 25911632 26715460 32389540 53430920 64779080 106861840 129558160 183000901 366001802 732003604 915004505 1464007208 1830009010 2928014416 3660018020 7320036040 14640072080