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2076325985664 = 2734728608989
BaseRepresentation
bin11110001101101110101…
…011000011110110000000
321100111100201122122210000
4132031232223003312000
5233004303423020124
64225503451440000
7303003202451430
oct36155653036600
97314321578700
102076325985664
11730623986587
122964a5456000
13120a484732b8
14726cd6d02c0
1539023b696c9
hex1e36eac3d80

2076325985664 has 160 divisors (see below), whose sum is σ = 7061843091600. Its totient is φ = 593235975168.

The previous prime is 2076325985663. The next prime is 2076325985687. The reversal of 2076325985664 is 4665895236702.

2076325985664 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 32 + 598 + 5 + 6 + 6 + 4 = 666.

It is a super-3 number, since 3×20763259856643 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076325985663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14231919 + ... + 14377070.

Almost surely, 22076325985664 is an apocalyptic number.

2076325985664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2076325985664 is an abundant number, since it is smaller than the sum of its proper divisors (4985517105936).

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

2076325985664 is an equidigital number, since it uses as much as digits as its factorization.

2076325985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28609022 (or 28609001 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 2076325985664 in words is "two trillion, seventy-six billion, three hundred twenty-five million, nine hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 28608989 57217978 85826967 114435956 171653934 200262923 228871912 257480901 343307868 400525846 457743824 514961802 600788769 686615736 772442703 801051692 915487648 1029923604 1201577538 1373231472 1544885406 1602103384 1802366307 1830975296 2059847208 2317328109 2403155076 2746462944 3089770812 3204206768 3604732614 3661950592 4119694416 4634656218 4806310152 5407098921 5492925888 6179541624 6408413536 7209465228 8239388832 9269312436 9612620304 10814197842 10985851776 12359083248 12816827072 14418930456 16221296763 16478777664 18538624872 19225240608 21628395684 24718166496 25633654144 28837860912 32442593526 32957555328 37077249744 38450481216 43256791368 49436332992 57675721824 64885187052 74154499488 76900962432 86513582736 98872665984 115351443648 129770374104 148308998976 173027165472 230702887296 259540748208 296617997952 346054330944 519081496416 692108661888 1038162992832 2076325985664