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14804449680 = 2435227439619
BaseRepresentation
bin11011100100110100…
…11111100110010000
31102012202011222002010
431302122133212100
5220304414342210
610445010422520
71032603513606
oct156232374620
942182158063
1014804449680
1163077a9189
122a51b91a40
13151c18c1c7
14a0627d876
155b9a88920
hex37269f990

14804449680 has 160 divisors (see below), whose sum is σ = 46275609600. Its totient is φ = 3915173376.

The previous prime is 14804449679. The next prime is 14804449691. The reversal of 14804449680 is 8694440841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 23916411 + ... + 23917029.

It is an arithmetic number, because the mean of its divisors is an integer number (289222560).

Almost surely, 214804449680 is an apocalyptic number.

14804449680 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 14804449680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137804800).

14804449680 is an abundant number, since it is smaller than the sum of its proper divisors (31471159920).

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

14804449680 is a wasteful number, since it uses less digits than its factorization.

14804449680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 14804449680 in words is "fourteen billion, eight hundred four million, four hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 439 454 619 681 878 908 1135 1238 1317 1362 1756 1816 1857 2195 2270 2476 2634 2724 3095 3405 3512 3632 3714 4390 4540 4952 5268 5448 6190 6585 6810 7024 7428 8780 9080 9285 9904 10536 10896 12380 13170 13620 14856 17560 18160 18570 21072 24760 26340 27240 29712 35120 37140 49520 52680 54480 74280 99653 105360 140513 148560 199306 271741 281026 298959 398612 421539 498265 543482 562052 597918 702565 797224 815223 843078 996530 1086964 1124104 1195836 1358705 1405130 1494795 1594448 1630446 1686156 1993060 2107695 2173928 2248208 2391672 2717410 2810260 2989590 3260892 3372312 3986120 4076115 4215390 4347856 4783344 5434820 5620520 5979180 6521784 6744624 7972240 8152230 8430780 10869640 11241040 11958360 13043568 16304460 16861560 21739280 23916720 32608920 33723120 61685207 65217840 123370414 185055621 246740828 308426035 370111242 493481656 616852070 740222484 925278105 986963312 1233704140 1480444968 1850556210 2467408280 2960889936 3701112420 4934816560 7402224840 14804449680