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83070209712 = 243713915711329
BaseRepresentation
bin100110101011101011…
…1101100111010110000
321221102022020212221210
41031113113230322300
52330111433202322
6102054550520120
76000362063220
oct1152727547260
9257368225853
1083070209712
1132258a71086
1214124066040
137aab22c459
14404081a080
152262cd070c
hex13575eceb0

83070209712 has 160 divisors (see below), whose sum is σ = 248614643200. Its totient is φ = 23411441664.

The previous prime is 83070209707. The next prime is 83070209713. The reversal of 83070209712 is 21790207038.

It is not an unprimeable number, because it can be changed into a prime (83070209713) 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, 7326864 + ... + 7338192.

It is an arithmetic number, because the mean of its divisors is an integer number (1553841520).

Almost surely, 283070209712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83070209712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124307321600).

83070209712 is an abundant number, since it is smaller than the sum of its proper divisors (165544433488).

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

83070209712 is a wasteful number, since it uses less digits than its factorization.

83070209712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11643 (or 11637 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 83070209712 in words is "eighty-three billion, seventy million, two hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 157 168 278 314 336 417 471 556 628 834 942 973 1099 1112 1256 1668 1884 1946 2198 2224 2512 2919 3297 3336 3768 3892 4396 5838 6594 6672 7536 7784 8792 11329 11676 13188 15568 17584 21823 22658 23352 26376 33987 43646 45316 46704 52752 65469 67974 79303 87292 90632 130938 135948 152761 158606 174584 181264 237909 261876 271896 305522 317212 349168 458283 475818 523752 543792 611044 634424 916566 951636 1047504 1222088 1268848 1574731 1778653 1833132 1903272 2444176 3149462 3557306 3666264 3806544 4724193 5335959 6298924 7114612 7332528 9448386 10671918 11023117 12450571 12597848 14229224 18896772 21343836 22046234 24901142 25195696 28458448 33069351 37351713 37793544 42687672 44092468 49802284 66138702 74703426 75587088 85375344 88184936 99604568 132277404 149406852 176369872 199209136 247232767 264554808 298813704 494465534 529109616 597627408 741698301 988931068 1483396602 1730629369 1977862136 2966793204 3461258738 3955724272 5191888107 5933586408 6922517476 10383776214 11867172816 13845034952 20767552428 27690069904 41535104856 83070209712