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42520386100 = 225213128111551
BaseRepresentation
bin100111100110011010…
…011001101000110100
311001202022121102020211
4213212122121220310
51144040204323400
631311131235204
73033460214143
oct474632315064
9131668542224
1042520386100
111703a716465
1282a7ba8b04
13401829ba9a
1420b520775a
15118cddcdba
hex9e6699a34

42520386100 has 72 divisors (see below), whose sum is σ = 93312527616. Its totient is φ = 16816800000.

The previous prime is 42520386091. The next prime is 42520386163. The reversal of 42520386100 is 168302524.

42520386100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3675325 + ... + 3686875.

It is an arithmetic number, because the mean of its divisors is an integer number (1296007328).

Almost surely, 242520386100 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 42520386100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656263808).

42520386100 is an abundant number, since it is smaller than the sum of its proper divisors (50792141516).

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

42520386100 is a wasteful number, since it uses less digits than its factorization.

42520386100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11977 (or 11970 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 42520386100 its reverse (168302524), we get a palindrome (42688688624).

The spelling of 42520386100 in words is "forty-two billion, five hundred twenty million, three hundred eighty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 281 524 562 655 1124 1310 1405 2620 2810 3275 5620 6550 7025 11551 13100 14050 23102 28100 36811 46204 57755 73622 115510 147244 184055 231020 288775 368110 577550 736220 920275 1155100 1513181 1840550 3026362 3245831 3681100 6052724 6491662 7565905 12983324 15131810 16229155 30263620 32458310 37829525 64916620 75659050 81145775 151318100 162291550 324583100 425203861 850407722 1700815444 2126019305 4252038610 8504077220 10630096525 21260193050 42520386100