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4918404096 = 210321731393
BaseRepresentation
bin1001001010010100…
…01110010000000000
3110200202211211000200
410211022032100000
540033102412341
62132014245200
7232611513354
oct44512162000
913622754020
104918404096
1120a4346881
12b531b6800
13604c8cca8
14349301464
151dbbd9db6
hex12528e400

4918404096 has 132 divisors (see below), whose sum is σ = 15037663212. Its totient is φ = 1542979584.

The previous prime is 4918404091. The next prime is 4918404103. The reversal of 4918404096 is 6904048194.

It can be written as a sum of positive squares in 2 ways, for example, as 4515840000 + 402564096 = 67200^2 + 20064^2 .

It is not an unprimeable number, because it can be changed into a prime (4918404091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140976 + ... + 172368.

It is an arithmetic number, because the mean of its divisors is an integer number (113921691).

Almost surely, 24918404096 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 4918404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518831606).

4918404096 is an abundant number, since it is smaller than the sum of its proper divisors (10119259116).

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

4918404096 is a wasteful number, since it uses less digits than its factorization.

4918404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31436 (or 31415 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4918404096 is about 70131.3346229772. The cubic root of 4918404096 is about 1700.6230814052.

The spelling of 4918404096 in words is "four billion, nine hundred eighteen million, four hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 26112 31393 39168 52224 62786 78336 94179 125572 156672 188358 251144 282537 376716 502288 533681 565074 753432 1004576 1067362 1130148 1506864 1601043 2009152 2134724 2260296 3013728 3202086 4018304 4269448 4520592 4803129 6027456 6404172 8036608 8538896 9041184 9606258 12054912 12808344 16073216 17077792 18082368 19212516 24109824 25616688 32146432 34155584 36164736 38425032 48219648 51233376 68311168 72329472 76850064 96439296 102466752 136622336 144658944 153700128 204933504 273244672 289317888 307400256 409867008 546489344 614800512 819734016 1229601024 1639468032 2459202048 4918404096