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27379477680 = 24352916692357
BaseRepresentation
bin11001011111111100…
…011010110010110000
32121200010022120112220
4121133330122302300
5422033121241210
620324501121040
71656326502042
oct313774326260
977603276486
1027379477680
1110680001905
1253813b9180
1327744b8089
14147a3c3a92
15aa3a42c70
hex65ff1acb0

27379477680 has 160 divisors (see below), whose sum is σ = 87893035200. Its totient is φ = 7042215936.

The previous prime is 27379477663. The next prime is 27379477681. The reversal of 27379477680 is 8677497372.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (27379477681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11615062 + ... + 11617418.

It is an arithmetic number, because the mean of its divisors is an integer number (549331470).

Almost surely, 227379477680 is an apocalyptic number.

27379477680 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 27379477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43946517600).

27379477680 is an abundant number, since it is smaller than the sum of its proper divisors (60513557520).

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

27379477680 is a wasteful number, since it uses less digits than its factorization.

27379477680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 60.

The spelling of 27379477680 in words is "twenty-seven billion, three hundred seventy-nine million, four hundred seventy-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1669 1740 2320 2357 3338 3480 4714 5007 6676 6960 7071 8345 9428 10014 11785 13352 14142 16690 18856 20028 23570 25035 26704 28284 33380 35355 37712 40056 47140 48401 50070 56568 66760 68353 70710 80112 94280 96802 100140 113136 133520 136706 141420 145203 188560 193604 200280 205059 242005 273412 282840 290406 341765 387208 400560 410118 484010 546824 565680 580812 683530 726015 774416 820236 968020 1025295 1093648 1161624 1367060 1452030 1640472 1936040 2050590 2323248 2734120 2904060 3280944 3872080 3933833 4101180 5468240 5808120 7867666 8202360 11616240 11801499 15735332 16404720 19669165 23602998 31470664 39338330 47205996 59007495 62941328 78676660 94411992 114081157 118014990 157353320 188823984 228162314 236029980 314706640 342243471 456324628 472059960 570405785 684486942 912649256 944119920 1140811570 1368973884 1711217355 1825298512 2281623140 2737947768 3422434710 4563246280 5475895536 6844869420 9126492560 13689738840 27379477680