Search a number
-
+
4965140688 = 2431074312243
BaseRepresentation
bin1001001111111001…
…00000100011010000
3110211000210021120120
410213330200203100
540132034000223
62140404110240
7234016666554
oct44774404320
913730707516
104965140688
112118768762
12b66995380
13611874b91
143515c9864
151e0d6cbe3
hex127f208d0

4965140688 has 80 divisors (see below), whose sum is σ = 12982311936. Its totient is φ = 1635045760.

The previous prime is 4965140669. The next prime is 4965140701. The reversal of 4965140688 is 8860415694.

It is a super-2 number, since 2×49651406882 = 49305244103266226688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4965140688.

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, 2212495 + ... + 2214737.

Almost surely, 24965140688 is an apocalyptic number.

4965140688 is a gapful number since it is divisible by the number (48) 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 4965140688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491155968).

4965140688 is an abundant number, since it is smaller than the sum of its proper divisors (8017171248).

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

4965140688 is a wasteful number, since it uses less digits than its factorization.

4965140688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 4965140688 is about 70463.7544273650. The cubic root of 4965140688 is about 1705.9927698957.

The spelling of 4965140688 in words is "four billion, nine hundred sixty-five million, one hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 431 642 856 862 1284 1293 1712 1724 2243 2568 2586 3448 4486 5136 5172 6729 6896 8972 10344 13458 17944 20688 26916 35888 46117 53832 92234 107664 138351 184468 240001 276702 368936 480002 553404 720003 737872 960004 966733 1106808 1440006 1920008 1933466 2213616 2880012 2900199 3840016 3866932 5760024 5800398 7733864 11520048 11600796 15467728 23201592 46403184 103440431 206880862 310321293 413761724 620642586 827523448 1241285172 1655046896 2482570344 4965140688