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70193203600 = 245213210192
BaseRepresentation
bin100000101011111010…
…1110100100110010000
320201011212220012101111
41001113311310212100
52122223430003400
652125111543104
75033311246312
oct1012765644620
9221155805344
1070193203600
1127850262873
121172b68aa94
136808492300
14357c5497b2
151c5c5763ba
hex1057d74990

70193203600 has 135 divisors (see below), whose sum is σ = 182788660803. Its totient is φ = 25892056320.

The previous prime is 70193203573. The next prime is 70193203601. The reversal of 70193203600 is 630239107.

The square root of 70193203600 is 264940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18092402064 + 52100801536 = 134508^2 + 228256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70193203601) 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 26 ways as a sum of consecutive naturals, for example, 68883891 + ... + 68884909.

Almost surely, 270193203600 is an apocalyptic number.

70193203600 is the 264940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70193203600

70193203600 is an abundant number, since it is smaller than the sum of its proper divisors (112595457203).

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

70193203600 is a wasteful number, since it uses less digits than its factorization.

70193203600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The spelling of 70193203600 in words is "seventy billion, one hundred ninety-three million, two hundred three thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 169 200 208 260 325 338 400 520 650 676 845 1019 1040 1300 1352 1690 2038 2600 2704 3380 4076 4225 5095 5200 6760 8152 8450 10190 13247 13520 16304 16900 20380 25475 26494 33800 40760 50950 52988 66235 67600 81520 101900 105976 132470 172211 203800 211952 264940 331175 344422 407600 529880 662350 688844 861055 1038361 1059760 1324700 1377688 1722110 2076722 2649400 2755376 3444220 4153444 4305275 5191805 5298800 6888440 8306888 8610550 10383610 13498693 13776880 16613776 17221100 20767220 25959025 26997386 34442200 41534440 51918050 53994772 67493465 68884400 83068880 103836100 107989544 134986930 175483009 207672200 215979088 269973860 337467325 350966018 415344400 539947720 674934650 701932036 877415045 1079895440 1349869300 1403864072 1754830090 2699738600 2807728144 3509660180 4387075225 5399477200 7019320360 8774150450 14038640720 17548300900 35096601800 70193203600