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970202212128 = 253664492
BaseRepresentation
bin11100001111001001000…
…11101110011100100000
310102202021001121222000000
432013210203232130200
5111343433231242003
62021412120300000
7130044341506632
oct16074443563440
93382231558000
10970202212128
11344507945926
12138046911600
1370649a838b6
1434d5abd8a52
151a3857821a3
hexe1e48ee720

970202212128 has 126 divisors (see below), whose sum is σ = 2864262475809. Its totient is φ = 323350589952.

The previous prime is 970202212127. The next prime is 970202212141. The reversal of 970202212128 is 821212202079.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 651035969424 + 319166242704 = 806868^2 + 564948^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=696492.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 970202212092 and 970202212101.

It is not an unprimeable number, because it can be changed into a prime (970202212127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 150439048 + ... + 150445496.

Almost surely, 2970202212128 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 970202212128

970202212128 is an abundant number, since it is smaller than the sum of its proper divisors (1894060263681).

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

970202212128 is an frugal number, since it uses more digits than its factorization.

970202212128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12926 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 970202212128 in words is "nine hundred seventy billion, two hundred two million, two hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 6449 7776 11664 12898 19347 23328 25796 38694 51592 58041 77388 103184 116082 154776 174123 206368 232164 309552 348246 464328 522369 619104 696492 928656 1044738 1392984 1567107 1857312 2089476 2785968 3134214 4178952 4701321 5571936 6268428 8357904 9402642 12536856 16715808 18805284 25073712 37610568 41589601 50147424 75221136 83179202 124768803 150442272 166358404 249537606 332716808 374306409 499075212 665433616 748612818 998150424 1122919227 1330867232 1497225636 1996300848 2245838454 2994451272 3368757681 3992601696 4491676908 5988902544 6737515362 8983353816 10106273043 11977805088 13475030724 17966707632 20212546086 26950061448 30318819129 35933415264 40425092172 53900122896 60637638258 80850184344 107800245792 121275276516 161700368688 242550553032 323400737376 485101106064 970202212128