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16742670720 = 273559147799
BaseRepresentation
bin11111001011111000…
…01110000110000000
31121012211021210111120
433211330032012000
5233242110430340
611405205312240
71131620232036
oct174574160600
947184253446
1016742670720
11711188a356
1232b3105680
13176a8b5969
14b4b856556
1567ece64d0
hex3e5f0e180

16742670720 has 128 divisors (see below), whose sum is σ = 54272160000. Its totient is φ = 4389009408.

The previous prime is 16742670719. The next prime is 16742670727. The reversal of 16742670720 is 2707624761.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16742670727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39381 + ... + 187179.

It is an arithmetic number, because the mean of its divisors is an integer number (424001250).

Almost surely, 216742670720 is an apocalyptic number.

16742670720 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 16742670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27136080000).

16742670720 is an abundant number, since it is smaller than the sum of its proper divisors (37529489280).

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

16742670720 is a wasteful number, since it uses less digits than its factorization.

16742670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147880 (or 147868 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 16742670720 in words is "sixteen billion, seven hundred forty-two million, six hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 295 320 354 384 472 480 590 640 708 885 944 960 1180 1416 1770 1888 1920 2360 2832 3540 3776 4720 5664 7080 7552 9440 11328 14160 18880 22656 28320 37760 56640 113280 147799 295598 443397 591196 738995 886794 1182392 1477990 1773588 2216985 2364784 2955980 3547176 4433970 4729568 5911960 7094352 8720141 8867940 9459136 11823920 14188704 17440282 17735880 18918272 23647840 26160423 28377408 34880564 35471760 43600705 47295680 52320846 56754816 69761128 70943520 87201410 94591360 104641692 130802115 139522256 141887040 174402820 209283384 261604230 279044512 283774080 348805640 418566768 523208460 558089024 697611280 837133536 1046416920 1116178048 1395222560 1674267072 2092833840 2790445120 3348534144 4185667680 5580890240 8371335360 16742670720