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12721049480 = 2351943974013
BaseRepresentation
bin10111101100011101…
…11100111110001000
31012211112220021021202
423312032330332020
5202023042040410
65502144123332
7630145064546
oct136616747610
935745807252
1012721049480
115438778837
122570306548
131279663c19
148896b4d96
154e6beeca5
hex2f63bcf88

12721049480 has 128 divisors (see below), whose sum is σ = 31155062400. Its totient is φ = 4658798592.

The previous prime is 12721049449. The next prime is 12721049503. The reversal of 12721049480 is 8494012721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3167954 + ... + 3171966.

It is an arithmetic number, because the mean of its divisors is an integer number (243398925).

Almost surely, 212721049480 is an apocalyptic number.

12721049480 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 12721049480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577531200).

12721049480 is an abundant number, since it is smaller than the sum of its proper divisors (18434012920).

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

12721049480 is a wasteful number, since it uses less digits than its factorization.

12721049480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 12721049480 in words is "twelve billion, seven hundred twenty-one million, forty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 97 152 172 190 194 215 344 380 388 430 485 760 776 817 860 970 1634 1720 1843 1940 3268 3686 3880 4013 4085 4171 6536 7372 8026 8170 8342 9215 14744 16052 16340 16684 18430 20065 20855 32104 32680 33368 36860 40130 41710 73720 76247 79249 80260 83420 152494 158498 160520 166840 172559 304988 316996 345118 381235 389261 396245 609976 633992 690236 762470 778522 792490 862795 1380472 1524940 1557044 1584980 1725590 1946305 3049880 3114088 3169960 3278621 3451180 3892610 6557242 6902360 7395959 7785220 13114484 14791918 15570440 16393105 16738223 26228968 29583836 32786210 33476446 36979795 59167672 65572420 66952892 73959590 83691115 131144840 133905784 147919180 167382230 295838360 318026237 334764460 636052474 669528920 1272104948 1590131185 2544209896 3180262370 6360524740 12721049480