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20959596320 = 2551324011933
BaseRepresentation
bin10011100001010010…
…100000111100100000
32000002201011210221012
4103201102200330200
5320411124040240
613343444520052
71341253425545
oct234122407440
960081153835
1020959596320
118986166a33
12408b3b0028
131c90439600
14102b916bcc
1582a11ab65
hex4e14a0f20

20959596320 has 144 divisors (see below), whose sum is σ = 53780571432. Its totient is φ = 7715635200.

The previous prime is 20959596313. The next prime is 20959596353. The reversal of 20959596320 is 2369595902.

It can be written as a sum of positive squares in 12 ways, for example, as 2690289424 + 18269306896 = 51868^2 + 135164^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10842074 + ... + 10844006.

Almost surely, 220959596320 is an apocalyptic number.

20959596320 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 20959596320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26890285716).

20959596320 is an abundant number, since it is smaller than the sum of its proper divisors (32820975112).

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

20959596320 is a wasteful number, since it uses less digits than its factorization.

20959596320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 50.

The spelling of 20959596320 in words is "twenty billion, nine hundred fifty-nine million, five hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 401 416 520 676 802 845 1040 1352 1604 1690 1933 2005 2080 2704 3208 3380 3866 4010 5213 5408 6416 6760 7732 8020 9665 10426 12832 13520 15464 16040 19330 20852 25129 26065 27040 30928 32080 38660 41704 50258 52130 61856 64160 67769 77320 83408 100516 104260 125645 135538 154640 166816 201032 208520 251290 271076 309280 326677 338845 402064 417040 502580 542152 653354 677690 775133 804128 834080 1005160 1084304 1306708 1355380 1550266 1633385 2010320 2168608 2613416 2710760 3100532 3266770 3875665 4020640 5226832 5421520 6201064 6533540 7751330 10076729 10453664 10843040 12402128 13067080 15502660 20153458 24804256 26134160 31005320 40306916 50383645 52268320 62010640 80613832 100767290 124021280 130997477 161227664 201534580 261994954 322455328 403069160 523989908 654987385 806138320 1047979816 1309974770 1612276640 2095959632 2619949540 4191919264 5239899080 10479798160 20959596320