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16720706070 = 23558382903
BaseRepresentation
bin11111001001010000…
…11011101000010110
31121011021221212200000
433210220123220112
5233221000043240
611403102432130
71131232441125
oct174450335026
947137855600
1016720706070
117100447a52
1232a7892646
131766195223
14b48979abc
1567ce08430
hex3e4a1ba16

16720706070 has 96 divisors (see below), whose sum is σ = 45627708672. Its totient is φ = 4405080672.

The previous prime is 16720706063. The next prime is 16720706077. The reversal of 16720706070 is 7060702761.

16720706070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16720706063) and next prime (16720706077).

It is a super-2 number, since 2×167207060702 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16720706077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160239 + ... + 243141.

It is an arithmetic number, because the mean of its divisors is an integer number (475288632).

Almost surely, 216720706070 is an apocalyptic number.

16720706070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16720706070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813854336).

16720706070 is an abundant number, since it is smaller than the sum of its proper divisors (28907002602).

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

16720706070 is an equidigital number, since it uses as much as digits as its factorization.

16720706070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83008 (or 82996 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 16720706070 in words is "sixteen billion, seven hundred twenty million, seven hundred six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 243 249 270 405 415 486 498 747 810 830 1215 1245 1494 2241 2430 2490 3735 4482 6723 7470 11205 13446 20169 22410 33615 40338 67230 82903 100845 165806 201690 248709 414515 497418 746127 829030 1243545 1492254 2238381 2487090 3730635 4476762 6715143 6880949 7461270 11191905 13430286 13761898 20145429 20642847 22383810 33575715 34404745 40290858 41285694 61928541 67151430 68809490 100727145 103214235 123857082 185785623 201454290 206428470 309642705 371571246 557356869 619285410 928928115 1114713738 1672070607 1857856230 2786784345 3344141214 5573568690 8360353035 16720706070