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42697042640 = 2457438572069
BaseRepresentation
bin100111110000111100…
…010010101011010000
311002012122000111110122
4213300330102223100
51144420420331030
631340441445412
73041033605610
oct476074225320
9132178014418
1042697042640
11171204050aa
1283371a0868
134045a71b95
1420d0870a40
15119d6858e5
hex9f0f12ad0

42697042640 has 160 divisors (see below), whose sum is σ = 116282200320. Its totient is φ = 14274957312.

The previous prime is 42697042639. The next prime is 42697042709. The reversal of 42697042640 is 4624079624.

It is a junction number, because it is equal to n+sod(n) for n = 42697042591 and 42697042600.

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, 20635526 + ... + 20637594.

It is an arithmetic number, because the mean of its divisors is an integer number (726763752).

Almost surely, 242697042640 is an apocalyptic number.

42697042640 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 42697042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58141100160).

42697042640 is an abundant number, since it is smaller than the sum of its proper divisors (73585157680).

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

42697042640 is a wasteful number, since it uses less digits than its factorization.

42697042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 42697042640 in words is "forty-two billion, six hundred ninety-seven million, forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 857 860 1204 1505 1714 1720 2069 2408 3010 3428 3440 4138 4285 4816 5999 6020 6856 8276 8570 10345 11998 12040 13712 14483 16552 17140 20690 23996 24080 28966 29995 33104 34280 36851 41380 47992 57932 59990 68560 72415 73702 82760 88967 95984 115864 119980 144830 147404 165520 177934 184255 231728 239960 257957 289660 294808 355868 368510 444835 479920 515914 579320 589616 622769 711736 737020 889670 1031828 1158640 1245538 1289785 1423472 1474040 1773133 1779340 2063656 2491076 2579570 2948080 3113845 3546266 3558680 4127312 4982152 5159140 6227690 7092532 7117360 8865665 9964304 10318280 12411931 12455380 14185064 17731330 20636560 24823862 24910760 28370128 35462660 49647724 49821520 62059655 70925320 76244719 99295448 124119310 141850640 152489438 198590896 248238620 304978876 381223595 496477240 533713033 609957752 762447190 992954480 1067426066 1219915504 1524894380 2134852132 2668565165 3049788760 4269704264 5337130330 6099577520 8539408528 10674260660 21348521320 42697042640