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9042156420 = 22351115119067
BaseRepresentation
bin10000110101111010…
…00101101110000100
3212100011102010202020
420122331011232010
5122004243001140
64053124443140
7440034030033
oct103275055604
925304363666
109042156420
113920074a50
1219042494b0
13b1142051b
1461ac6a71a
1537dc576d0
hex21af45b84

9042156420 has 96 divisors (see below), whose sum is σ = 27641005056. Its totient is φ = 2190345600.

The previous prime is 9042156391. The next prime is 9042156427. The reversal of 9042156420 is 246512409.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (9042156427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992727 + ... + 1001793.

It is an arithmetic number, because the mean of its divisors is an integer number (287927136).

Almost surely, 29042156420 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 9042156420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820502528).

9042156420 is an abundant number, since it is smaller than the sum of its proper divisors (18598848636).

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

9042156420 is a wasteful number, since it uses less digits than its factorization.

9042156420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 9042156420 is about 95090.2540747473. The cubic root of 9042156420 is about 2083.3265019225.

Adding to 9042156420 its reverse (246512409), we get a palindrome (9288668829).

The spelling of 9042156420 in words is "nine billion, forty-two million, one hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1511 3022 4533 6044 7555 9066 9067 15110 16621 18132 18134 22665 27201 30220 33242 36268 45330 45335 49863 54402 66484 83105 90660 90670 99726 99737 108804 136005 166210 181340 199452 199474 249315 272010 299211 332420 398948 498630 498685 544020 598422 997260 997370 1196844 1496055 1994740 2992110 5984220 13700237 27400474 41100711 54800948 68501185 82201422 137002370 150702607 164402844 205503555 274004740 301405214 411007110 452107821 602810428 753513035 822014220 904215642 1507026070 1808431284 2260539105 3014052140 4521078210 9042156420