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331950205472 = 25531496172129
BaseRepresentation
bin1001101010010011100…
…01100010101000100000
31011201211011212122002112
410311021301202220200
520414313223033342
6412255032534452
732661015122414
oct4651161425040
91151734778075
10331950205472
11118863267596
1254401551428
13253c2255332
14120d05a2d44
15897c611682
hex4d49c62a20

331950205472 has 96 divisors (see below), whose sum is σ = 671728302000. Its totient is φ = 161412579328.

The previous prime is 331950205469. The next prime is 331950205501. The reversal of 331950205472 is 274502059133.

It can be written as a sum of positive squares in 8 ways, for example, as 19598880016 + 312351325456 = 139996^2 + 558884^2 .

It is a super-2 number, since 2×3319502054722 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155917304 + ... + 155919432.

Almost surely, 2331950205472 is an apocalyptic number.

331950205472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331950205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335864151000).

331950205472 is an abundant number, since it is smaller than the sum of its proper divisors (339778096528).

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

331950205472 is a wasteful number, since it uses less digits than its factorization.

331950205472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The spelling of 331950205472 in words is "three hundred thirty-one billion, nine hundred fifty million, two hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 106 149 212 298 424 596 617 848 1192 1234 1696 2129 2384 2468 4258 4768 4936 7897 8516 9872 15794 17032 19744 31588 32701 34064 63176 65402 68128 91933 112837 126352 130804 183866 225674 252704 261608 317221 367732 451348 523216 634442 735464 902696 1046432 1268884 1313593 1470928 1805392 2537768 2627186 2941856 3610784 4872449 5075536 5254372 9744898 10151072 10508744 16812713 19489796 21017488 33625426 38979592 42034976 67250852 69620429 77959184 134501704 139240858 155918368 195725357 269003408 278481716 391450714 538006816 556963432 782901428 1113926864 1565802856 2227853728 3131605712 6263211424 10373443921 20746887842 41493775684 82987551368 165975102736 331950205472