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270208020032 = 2623216747791
BaseRepresentation
bin1111101110100110100…
…1110010111001000000
3221211110021001122012122
43323221221302321000
513411341223120112
6324044251343412
725344002163026
oct3735151627100
9854407048178
10270208020032
11a465a423855
1244450151b68
131c63289b3b2
14d1145a6716
157066e75872
hex3ee9a72e40

270208020032 has 84 divisors (see below), whose sum is σ = 563888631936. Its totient is φ = 128453402880.

The previous prime is 270208020029. The next prime is 270208020067. The reversal of 270208020032 is 230020802072.

It is a super-2 number, since 2×2702080200322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 270208019983 and 270208020010.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5630057 + ... + 5677847.

It is an arithmetic number, because the mean of its divisors is an integer number (6712959904).

Almost surely, 2270208020032 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 270208020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281944315968).

270208020032 is an abundant number, since it is smaller than the sum of its proper divisors (293680611904).

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

270208020032 is a wasteful number, since it uses less digits than its factorization.

270208020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48016 (or 47983 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 270208020032 in words is "two hundred seventy billion, two hundred eight million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 167 184 334 368 529 668 736 1058 1336 1472 2116 2672 3841 4232 5344 7682 8464 10688 15364 16928 30728 33856 47791 61456 88343 95582 122912 176686 191164 245824 353372 382328 706744 764656 1099193 1413488 1529312 2198386 2826976 3058624 4396772 5653952 7981097 8793544 15962194 17587088 25281439 31924388 35174176 50562878 63848776 70348352 101125756 127697552 183565231 202251512 255395104 367130462 404503024 510790208 734260924 809006048 1468521848 1618012096 2937043696 4222000313 5874087392 8444000626 11748174784 16888001252 33776002504 67552005008 135104010016 270208020032