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4964350524 = 2237219144203
BaseRepresentation
bin1001001111110010…
…11111101000111100
3110210222022010200020
410213321133220330
540131333204044
62140335132140
7234010166100
oct44771375074
913728263606
104964350524
112118279031
12b66674050
13611659323
14351461900
151e0c63a19
hex127e5fa3c

4964350524 has 72 divisors (see below), whose sum is σ = 13545520128. Its totient is φ = 1410927840.

The previous prime is 4964350507. The next prime is 4964350537. The reversal of 4964350524 is 4250534694.

It is a super-3 number, since 3×49643505243 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 90207 + ... + 134409.

It is an arithmetic number, because the mean of its divisors is an integer number (188132224).

Almost surely, 24964350524 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 4964350524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772760064).

4964350524 is an abundant number, since it is smaller than the sum of its proper divisors (8581169604).

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

4964350524 is a wasteful number, since it uses less digits than its factorization.

4964350524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44415 (or 44406 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 4964350524 is about 70458.1473216547. The cubic root of 4964350524 is about 1705.9022665464.

The spelling of 4964350524 in words is "four billion, nine hundred sixty-four million, three hundred fifty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 191 196 294 382 573 588 764 1146 1337 2292 2674 4011 5348 8022 9359 16044 18718 28077 37436 44203 56154 88406 112308 132609 176812 265218 309421 530436 618842 928263 1237684 1856526 2165947 3713052 4331894 6497841 8442773 8663788 12995682 16885546 25328319 25991364 33771092 50656638 59099411 101313276 118198822 177298233 236397644 354596466 413695877 709192932 827391754 1241087631 1654783508 2482175262 4964350524