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4155112640 = 26578272243
BaseRepresentation
bin1111011110101001…
…1111110011000000
3101201120120120222202
43313222133303000
532002202101030
61524150252332
7204652606010
oct36752376300
911646516882
104155112640
1118424a8698
1297b6570a8
13512ac0743
142b5badc40
15194bb4745
hexf7a9fcc0

4155112640 has 112 divisors (see below), whose sum is σ = 11326563072. Its totient is φ = 1422253056.

The previous prime is 4155112631. The next prime is 4155112697. The reversal of 4155112640 is 462115514.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×41551126402 = 34529922102175539200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1851359 + ... + 1853601.

Almost surely, 24155112640 is an apocalyptic number.

4155112640 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 4155112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663281536).

4155112640 is an abundant number, since it is smaller than the sum of its proper divisors (7171450432).

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

4155112640 is a wasteful number, since it uses less digits than its factorization.

4155112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 4155112640 is about 64460.1632017791. The cubic root of 4155112640 is about 1607.6602253972.

The spelling of 4155112640 in words is "four billion, one hundred fifty-five million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 827 1120 1654 2240 2243 3308 4135 4486 5789 6616 8270 8972 11215 11578 13232 15701 16540 17944 22430 23156 26464 28945 31402 33080 35888 44860 46312 52928 57890 62804 66160 71776 78505 89720 92624 115780 125608 132320 143552 157010 179440 185248 231560 251216 264640 314020 358880 370496 463120 502432 628040 717760 926240 1004864 1256080 1852480 1854961 2512160 3709922 5024320 7419844 9274805 12984727 14839688 18549610 25969454 29679376 37099220 51938908 59358752 64923635 74198440 103877816 118717504 129847270 148396880 207755632 259694540 296793760 415511264 519389080 593587520 831022528 1038778160 2077556320 4155112640