Search a number
-
+
42154655904 = 2533421115891
BaseRepresentation
bin100111010000100111…
…010000000010100000
311000210211102101202000
4213100213100002200
51142313042442104
631210544324000
73021426443304
oct472047200240
9130724371660
1042154655904
11169722279a9
128205613600
133c8a598a9a
14207c803d04
15116ac48639
hex9d09d00a0

42154655904 has 96 divisors (see below), whose sum is σ = 123244188480. Its totient is φ = 14018054400.

The previous prime is 42154655861. The next prime is 42154655953. The reversal of 42154655904 is 40955645124.

42154655904 is a `hidden beast` number, since 4 + 2 + 1 + 54 + 6 + 5 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 42154655904.

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, 305799 + ... + 421689.

It is an arithmetic number, because the mean of its divisors is an integer number (1283793630).

Almost surely, 242154655904 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 42154655904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61622094240).

42154655904 is an abundant number, since it is smaller than the sum of its proper divisors (81089532576).

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

42154655904 is a wasteful number, since it uses less digits than its factorization.

42154655904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116331 (or 116317 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 42154655904 in words is "forty-two billion, one hundred fifty-four million, six hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 421 432 842 864 1263 1684 2526 3368 3789 5052 6736 7578 10104 11367 13472 15156 20208 22734 30312 40416 45468 60624 90936 115891 121248 181872 231782 347673 363744 463564 695346 927128 1043019 1390692 1854256 2086038 2781384 3129057 3708512 4172076 5562768 6258114 8344152 11125536 12516228 16688304 25032456 33376608 48790111 50064912 97580222 100129824 146370333 195160444 292740666 390320888 439110999 585481332 780641776 878221998 1170962664 1317332997 1561283552 1756443996 2341925328 2634665994 3512887992 4683850656 5269331988 7025775984 10538663976 14051551968 21077327952 42154655904