Search a number
-
+
2418385385920 = 26571831589643
BaseRepresentation
bin100011001100010011000…
…000000111100111000000
322120012021102202121002011
4203030103000013213000
5304110323124322140
65050554011502304
7336502562415220
oct43142300074700
98505242677064
102418385385920
118526a45597a9
12330848457994
1314708bbc879a
148509c71c080
1542d93a07cea
hex233130079c0

2418385385920 has 112 divisors (see below), whose sum is σ = 6585068717568. Its totient is φ = 828706452480.

The previous prime is 2418385385863. The next prime is 2418385385951. The reversal of 2418385385920 is 295835838142.

It is a tau number, because it is divible by the number of its divisors (112).

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, 3806619 + ... + 4396261.

Almost surely, 22418385385920 is an apocalyptic number.

2418385385920 is a gapful number since it is divisible by the number (20) 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 2418385385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292534358784).

2418385385920 is an abundant number, since it is smaller than the sum of its proper divisors (4166683331648).

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

2418385385920 is a wasteful number, since it uses less digits than its factorization.

2418385385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591498 (or 591488 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 2418385385920 in words is "two trillion, four hundred eighteen billion, three hundred eighty-five million, three hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1831 2240 3662 7324 9155 12817 14648 18310 25634 29296 36620 51268 58592 64085 73240 102536 117184 128170 146480 205072 256340 292960 410144 512680 585920 589643 820288 1025360 1179286 2050720 2358572 2948215 4101440 4127501 4717144 5896430 8255002 9434288 11792860 16510004 18868576 20637505 23585720 33020008 37737152 41275010 47171440 66040016 82550020 94342880 132080032 165100040 188685760 264160064 330200080 660400160 1079636333 1320800320 2159272666 4318545332 5398181665 7557454331 8637090664 10796363330 15114908662 17274181328 21592726660 30229817324 34548362656 37787271655 43185453320 60459634648 69096725312 75574543310 86370906640 120919269296 151149086620 172741813280 241838538592 302298173240 345483626560 483677077184 604596346480 1209192692960 2418385385920