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200642362641 = 32789137269971
BaseRepresentation
bin1011101011011100110…
…1110111110100010001
3201011220010000002101100
42322313031313310101
511241403421101031
6232101314055013
720332050641250
oct2726715676421
9634803002340
10200642362641
1178101423816
1232a7687a469
1315bc742ab06
1499d5534797
155344a5dde6
hex2eb7377d11

200642362641 has 96 divisors (see below), whose sum is σ = 338988499200. Its totient is φ = 112003246080.

The previous prime is 200642362607. The next prime is 200642362663. The reversal of 200642362641 is 146263246002.

200642362641 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 4 + 2 + 3 + 6 + 2 + 641 = 666.

It is not a de Polignac number, because 200642362641 - 213 = 200642354449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200642362596 and 200642362605.

It is not an unprimeable number, because it can be changed into a prime (200642361641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206634286 + ... + 206635256.

It is an arithmetic number, because the mean of its divisors is an integer number (3531130200).

Almost surely, 2200642362641 is an apocalyptic number.

200642362641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200642362641 is a deficient number, since it is larger than the sum of its proper divisors (138346136559).

200642362641 is a wasteful number, since it uses less digits than its factorization.

200642362641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 200642362641 in words is "two hundred billion, six hundred forty-two million, three hundred sixty-two thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 63 89 137 267 269 411 623 801 807 959 971 1233 1869 1883 2421 2877 2913 5607 5649 6797 8631 8739 12193 16947 20391 23941 36579 36853 61173 71823 85351 86419 109737 110559 133027 167587 215469 256053 257971 259257 261199 331677 399081 502761 604933 768159 773913 777771 783597 931189 1197243 1508283 1814799 1828393 2321739 2350791 2793567 3279917 5444397 5485179 8380701 9839751 11839403 16455537 22959419 23246711 29519253 35518209 35784263 68878257 69740133 82875821 106554627 107352789 162726977 206634771 209220399 248627463 250489841 322058367 488180931 745882389 751469523 1464542793 2254408569 3184799407 9554398221 22293595849 28663194663 66880787547 200642362641