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27974671320 = 23351798291571
BaseRepresentation
bin11010000011011010…
…111001101111011000
32200012121021112201210
4122003122321233120
5424243003440240
620503522143120
72010144532341
oct320332715730
980177245653
1027974671320
1110955a77682
1255087b1aa0
13283a8c006b
1414d54790c8
15adae11780
hex6836b9bd8

27974671320 has 128 divisors (see below), whose sum is σ = 84548448000. Its totient is φ = 7404572160.

The previous prime is 27974671271. The next prime is 27974671367. The reversal of 27974671320 is 2317647972.

It is a self number, because there is not a number n which added to its sum of digits gives 27974671320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17806135 + ... + 17807705.

It is an arithmetic number, because the mean of its divisors is an integer number (660534750).

Almost surely, 227974671320 is an apocalyptic number.

27974671320 is a gapful number since it is divisible by the number (20) 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 27974671320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42274224000).

27974671320 is an abundant number, since it is smaller than the sum of its proper divisors (56573776680).

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

27974671320 is a wasteful number, since it uses less digits than its factorization.

27974671320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 27974671320 in words is "twenty-seven billion, nine hundred seventy-four million, six hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 829 895 1074 1432 1571 1658 1790 2148 2487 2685 3142 3316 3580 4145 4296 4713 4974 5370 6284 6632 7160 7855 8290 9426 9948 10740 12435 12568 15710 16580 18852 19896 21480 23565 24870 31420 33160 37704 47130 49740 62840 94260 99480 148391 188520 281209 296782 445173 562418 593564 741955 843627 890346 1124836 1187128 1302359 1406045 1483910 1687254 1780692 2225865 2249672 2604718 2812090 2967820 3374508 3561384 3907077 4218135 4451730 5209436 5624180 5935640 6511795 6749016 7814154 8436270 8903460 10418872 11248360 13023590 15628308 16872540 17806920 19535385 26047180 31256616 33745080 39070770 52094360 78141540 156283080 233122261 466244522 699366783 932489044 1165611305 1398733566 1864978088 2331222610 2797467132 3496833915 4662445220 5594934264 6993667830 9324890440 13987335660 27974671320