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243430986672 = 24323750390833
BaseRepresentation
bin1110001010110110011…
…1100001001110110000
3212021100010100101220100
43202231213201032300
512442021313033142
6303455230512400
723405306150256
oct3425547411660
9767303311810
10243430986672
119426949a315
123b218665700
1319c56156663
14bad42045d6
1564eb284b4c
hex38ad9e13b0

243430986672 has 120 divisors (see below), whose sum is σ = 701080065504. Its totient is φ = 78792763392.

The previous prime is 243430986653. The next prime is 243430986679. The reversal of 243430986672 is 276689034342.

243430986672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (243430986679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2634568 + ... + 2725400.

Almost surely, 2243430986672 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 243430986672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350540032752).

243430986672 is an abundant number, since it is smaller than the sum of its proper divisors (457649078832).

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

243430986672 is a wasteful number, since it uses less digits than its factorization.

243430986672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91387 (or 91378 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 243430986672 in words is "two hundred forty-three billion, four hundred thirty million, nine hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 503 592 666 888 1006 1332 1509 1776 2012 2664 3018 4024 4527 5328 6036 8048 9054 12072 18108 18611 24144 36216 37222 55833 72432 74444 90833 111666 148888 167499 181666 223332 272499 297776 334998 363332 446664 544998 669996 726664 817497 893328 1089996 1339992 1453328 1634994 2179992 2679984 3269988 3360821 4359984 6539976 6721642 10082463 13079952 13443284 20164926 26886568 30247389 40329852 45688999 53773136 60494778 80659704 91377998 120989556 137066997 161319408 182755996 241979112 274133994 365511992 411200991 483958224 548267988 731023984 822401982 1096535976 1644803964 1690492963 2193071952 3289607928 3380985926 5071478889 6579215856 6761971852 10142957778 13523943704 15214436667 20285915556 27047887408 30428873334 40571831112 60857746668 81143662224 121715493336 243430986672