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42109992576 = 273289410717
BaseRepresentation
bin100111001101111100…
…110111111010000000
311000200201101021011200
4213031330313322000
51142220124230301
631202311141200
73020345013441
oct471574677200
9130621337150
1042109992576
1116949aa1763
1281b2674800
133c8125b792
1420768d92c8
151166d74c86
hex9cdf37e80

42109992576 has 96 divisors (see below), whose sum is σ = 122537715300. Its totient is φ = 13878915072.

The previous prime is 42109992539. The next prime is 42109992607. The reversal of 42109992576 is 67529990124.

It can be written as a sum of positive squares in 2 ways, for example, as 42057806400 + 52186176 = 205080^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 102831 + ... + 307886.

Almost surely, 242109992576 is an apocalyptic number.

It is an amenable number.

42109992576 is an abundant number, since it is smaller than the sum of its proper divisors (80427722724).

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

42109992576 is a wasteful number, since it uses less digits than its factorization.

42109992576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410826 (or 410811 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 42109992576 in words is "forty-two billion, one hundred nine million, nine hundred ninety-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 267 288 356 384 534 576 712 801 1068 1152 1424 1602 2136 2848 3204 4272 5696 6408 8544 11392 12816 17088 25632 34176 51264 102528 410717 821434 1232151 1642868 2464302 3285736 3696453 4928604 6571472 7392906 9857208 13142944 14785812 19714416 26285888 29571624 36553813 39428832 52571776 59143248 73107626 78857664 109661439 118286496 146215252 157715328 219322878 236572992 292430504 328984317 438645756 473145984 584861008 657968634 877291512 1169722016 1315937268 1754583024 2339444032 2631874536 3509166048 4678888064 5263749072 7018332096 10527498144 14036664192 21054996288 42109992576