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1918421076 = 22311132233739
BaseRepresentation
bin111001001011000…
…1100100001010100
311221200211212222110
41302112030201110
512412103433301
6514210231020
765353211235
oct16226144124
94850755873
101918421076
118a4998170
12456585470
132475b3400
14142b0108c
15b364b0d6
hex7258c854

1918421076 has 144 divisors (see below), whose sum is σ = 5519162880. Its totient is φ = 513152640.

The previous prime is 1918421039. The next prime is 1918421101. The reversal of 1918421076 is 6701248191.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511215 + ... + 514953.

It is an arithmetic number, because the mean of its divisors is an integer number (38327520).

Almost surely, 21918421076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1918421076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759581440).

1918421076 is an abundant number, since it is smaller than the sum of its proper divisors (3600741804).

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

1918421076 is a wasteful number, since it uses less digits than its factorization.

1918421076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1918421076 is about 43799.7839720700. The cubic root of 1918421076 is about 1242.5522086703.

The spelling of 1918421076 in words is "one billion, nine hundred eighteen million, four hundred twenty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 169 253 276 286 299 338 429 506 507 572 598 676 759 858 897 1012 1014 1196 1518 1716 1794 1859 2028 3036 3289 3588 3718 3739 3887 5577 6578 7436 7478 7774 9867 11154 11217 11661 13156 14956 15548 19734 22308 22434 23322 39468 41129 42757 44868 46644 48607 82258 85514 85997 97214 123387 128271 145821 164516 171028 171994 194428 246774 256542 257991 291642 343988 493548 513084 515982 534677 583284 631891 945967 1031964 1069354 1117961 1263782 1604031 1891934 1895673 2138708 2235922 2527564 2837901 3208062 3353883 3783868 3791346 4471844 5675802 6416124 6707766 6950801 7582692 11351604 12297571 13415532 13901602 14533493 20852403 24595142 27803204 29066986 36892713 41704806 43600479 49190284 58133972 73785426 83409612 87200958 147570852 159868423 174401916 319736846 479605269 639473692 959210538 1918421076