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4072962680 = 2351761149659
BaseRepresentation
bin1111001011000100…
…0111101001111000
3101111211222221102122
43302301013221320
531320134301210
61512053420412
7202634416523
oct36261075170
911454887378
104072962680
111800099166
1295803a708
134cba898b7
142a8d07bba
1518c888b55
hexf2c47a78

4072962680 has 128 divisors (see below), whose sum is σ = 9943560000. Its totient is φ = 1495818240.

The previous prime is 4072962679. The next prime is 4072962703. The reversal of 4072962680 is 862692704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6180191 + ... + 6180849.

Almost surely, 24072962680 is an apocalyptic number.

4072962680 is a gapful number since it is divisible by the number (40) 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 4072962680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971780000).

4072962680 is an abundant number, since it is smaller than the sum of its proper divisors (5870597320).

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

4072962680 is a wasteful number, since it uses less digits than its factorization.

4072962680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 4072962680 is about 63819.7671572061. The cubic root of 4072962680 is about 1596.9947076287.

The spelling of 4072962680 in words is "four billion, seventy-two million, nine hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 149 170 244 298 305 340 488 596 610 659 680 745 1037 1192 1220 1318 1490 2074 2440 2533 2636 2980 3295 4148 5066 5185 5272 5960 6590 8296 9089 10132 10370 11203 12665 13180 18178 20264 20740 22406 25330 26360 36356 40199 41480 44812 45445 50660 56015 72712 80398 89624 90890 98191 101320 112030 154513 160796 181780 196382 200995 224060 309026 321592 363560 392764 401990 448120 490955 618052 683383 772565 785528 803980 981910 1236104 1366766 1545130 1607960 1669247 1963820 2733532 3090260 3338494 3416915 3927640 5467064 5989651 6180520 6676988 6833830 8346235 11979302 13353976 13667660 16692470 23958604 27335320 29948255 33384940 47917208 59896510 66769880 101824067 119793020 203648134 239586040 407296268 509120335 814592536 1018240670 2036481340 4072962680