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1986386472320 = 27543241299501
BaseRepresentation
bin11100111001111101110…
…111000010110110000000
321000220012200120222202012
4130321331313002312000
5230021104414103240
64120311111512052
7263340336300005
oct34717567026600
97026180528665
101986386472320
116a6470418a68
12280b84988628
1311541403b653
146c1da8598ac
1536a0cc89b65
hex1ce7ddc2d80

1986386472320 has 128 divisors (see below), whose sum is σ = 4879318862880. Its totient is φ = 772853760000.

The previous prime is 1986386472271. The next prime is 1986386472391. The reversal of 1986386472320 is 232746836891.

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

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1986386472320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6482570 + ... + 6782070.

Almost surely, 21986386472320 is an apocalyptic number.

1986386472320 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 1986386472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439659431440).

1986386472320 is an abundant number, since it is smaller than the sum of its proper divisors (2892932390560).

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

1986386472320 is a wasteful number, since it uses less digits than its factorization.

1986386472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299804 (or 299792 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 1986386472320 in words is "one trillion, nine hundred eighty-six billion, three hundred eighty-six million, four hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 241 320 344 430 482 640 688 860 964 1205 1376 1720 1928 2410 2752 3440 3856 4820 5504 6880 7712 9640 10363 13760 15424 19280 20726 27520 30848 38560 41452 51815 77120 82904 103630 154240 165808 207260 299501 331616 414520 599002 663232 829040 1198004 1326464 1497505 1658080 2396008 2995010 3316160 4792016 5990020 6632320 9584032 11980040 12878543 19168064 23960080 25757086 38336128 47920160 51514172 64392715 72179741 95840320 103028344 128785430 144359482 191680640 206056688 257570860 288718964 360898705 412113376 515141720 577437928 721797410 824226752 1030283440 1154875856 1443594820 1648453504 2060566880 2309751712 2887189640 3103728863 4121133760 4619503424 5774379280 6207457726 8242267520 9239006848 11548758560 12414915452 15518644315 23097517120 24829830904 31037288630 46195034240 49659661808 62074577260 99319323616 124149154520 198638647232 248298309040 397277294464 496596618080 993193236160 1986386472320