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20337220427304 = 23311731447972883
BaseRepresentation
bin1001001111111001000001…
…10011001001111000101000
32200000012220212012010222110
410213330200303021320220
510131201111412133204
6111130442354122320
74166213165245464
oct447744063117050
980005825163873
1020337220427304
116530a6a817260
1223455a5b803a0
13b46a3a36a711
145044807434a4
1525403eec9889
hex127f20cc9e28

20337220427304 has 128 divisors (see below), whose sum is σ = 56229597849600. Its totient is φ = 6077869032960.

The previous prime is 20337220427299. The next prime is 20337220427333. The reversal of 20337220427304 is 40372402273302.

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, 279002847 + ... + 279075729.

It is an arithmetic number, because the mean of its divisors is an integer number (439293733200).

Almost surely, 220337220427304 is an apocalyptic number.

20337220427304 is a gapful number since it is divisible by the number (24) 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 20337220427304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28114798924800).

20337220427304 is an abundant number, since it is smaller than the sum of its proper divisors (35892377422296).

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

20337220427304 is a wasteful number, since it uses less digits than its factorization.

20337220427304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87455 (or 87451 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 39.

It can be divided in two parts, 203372 and 20427304, that added together give a triangular number (20630676 = T6423).

The spelling of 20337220427304 in words is "twenty trillion, three hundred thirty-seven billion, two hundred twenty million, four hundred twenty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 14479 19272 28958 43437 57916 72883 86874 115832 145766 159269 173748 218649 291532 318538 347496 437298 477807 583064 637076 801713 874596 955614 1056967 1274152 1603426 1749192 1911228 2113934 2405139 3170901 3206852 3822456 4227868 4810278 5320459 6341802 6413704 8455736 9620556 10640918 11626637 12683604 15961377 19241112 21281836 23253274 25367208 31922754 34879911 42563672 46506548 58525049 63845508 69759822 93013096 117050098 127691016 139519644 175575147 234100196 279039288 351150294 468200392 702300588 1055272957 1404601176 2110545914 3165818871 4221091828 6331637742 8442183656 11608002527 12663275484 23216005054 25326550968 34824007581 46432010108 69648015162 77034925861 92864020216 139296030324 154069851722 231104777583 278592060648 308139703444 462209555166 616279406888 847384184471 924419110332 1694768368942 1848838220664 2542152553413 3389536737884 5084305106826 6779073475768 10168610213652 20337220427304