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40557784220 = 225311011913391
BaseRepresentation
bin100101110001011011…
…101010110010011100
310212200112121220121022
4211301123222302130
51131030243043340
630344302023312
72634026322602
oct456133526234
9125615556538
1040557784220
11162228a2638
127a3a877b38
133a947b9bb5
141d6a6c5872
1510c59663b5
hex9716eac9c

40557784220 has 96 divisors (see below), whose sum is σ = 89280479232. Its totient is φ = 15458400000.

The previous prime is 40557784219. The next prime is 40557784243. The reversal of 40557784220 is 2248775504.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11958725 + ... + 11962115.

It is an arithmetic number, because the mean of its divisors is an integer number (930004992).

Almost surely, 240557784220 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 40557784220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640239616).

40557784220 is an abundant number, since it is smaller than the sum of its proper divisors (48722695012).

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

40557784220 is a wasteful number, since it uses less digits than its factorization.

40557784220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 44.

The spelling of 40557784220 in words is "forty billion, five hundred fifty-seven million, seven hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 191 202 310 382 404 505 620 764 955 1010 1910 2020 3131 3391 3820 5921 6262 6782 11842 12524 13564 15655 16955 19291 23684 29605 31310 33910 38582 59210 62620 67820 77164 96455 105121 118420 192910 210242 342491 385820 420484 525605 598021 647681 684982 1051210 1196042 1295362 1369964 1712455 2102420 2392084 2590724 2990105 3238405 3424910 5980210 6476810 6849820 10617221 11960420 12953620 20078111 21234442 40156222 42468884 53086105 65415781 80312444 100390555 106172210 130831562 200781110 212344420 261663124 327078905 401562220 654157810 1308315620 2027889211 4055778422 8111556844 10139446055 20278892110 40557784220