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42606442480 = 2457401189733
BaseRepresentation
bin100111101011100010…
…101011011111110000
311001222022112112102011
4213223202223133300
51144224222124410
631323443532304
73035553533320
oct475342533760
9131868475364
1042606442480
1117084253938
12831098a094
13403006ca14
1420c2809280
15119573b18a
hex9eb8ab7f0

42606442480 has 80 divisors (see below), whose sum is σ = 113494325184. Its totient is φ = 14571417600.

The previous prime is 42606442421. The next prime is 42606442499. The reversal of 42606442480 is 8424460624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129694 + ... + 319426.

Almost surely, 242606442480 is an apocalyptic number.

42606442480 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 42606442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56747162592).

42606442480 is an abundant number, since it is smaller than the sum of its proper divisors (70887882704).

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

42606442480 is a wasteful number, since it uses less digits than its factorization.

42606442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190154 (or 190148 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 42606442480 in words is "forty-two billion, six hundred six million, four hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 401 560 802 1604 2005 2807 3208 4010 5614 6416 8020 11228 14035 16040 22456 28070 32080 44912 56140 112280 189733 224560 379466 758932 948665 1328131 1517864 1897330 2656262 3035728 3794660 5312524 6640655 7589320 10625048 13281310 15178640 21250096 26562620 53125240 76082933 106250480 152165866 304331732 380414665 532580531 608663464 760829330 1065161062 1217326928 1521658660 2130322124 2662902655 3043317320 4260644248 5325805310 6086634640 8521288496 10651610620 21303221240 42606442480