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245433611472 = 24373136473607
BaseRepresentation
bin1110010010010011111…
…0111011010011010000
3212110111200122021200020
43210210332323103100
513010122001031342
6304430050023440
723506034163450
oct3444476732320
9773450567606
10245433611472
11950a6969a35
123b697277b80
131a1b500c64a
14bc44183d60
1565b6eb50ec
hex3924fbb4d0

245433611472 has 160 divisors (see below), whose sum is σ = 728253960192. Its totient is φ = 69772465152.

The previous prime is 245433611431. The next prime is 245433611497. The reversal of 245433611472 is 274116334542.

245433611472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68041893 + ... + 68045499.

Almost surely, 2245433611472 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 245433611472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364126980096).

245433611472 is an abundant number, since it is smaller than the sum of its proper divisors (482820348720).

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

245433611472 is a wasteful number, since it uses less digits than its factorization.

245433611472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4579 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The spelling of 245433611472 in words is "two hundred forty-five billion, four hundred thirty-three million, six hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 313 336 626 647 939 1252 1294 1878 1941 2191 2504 2588 3607 3756 3882 4382 4529 5008 5176 6573 7214 7512 7764 8764 9058 10352 10821 13146 13587 14428 15024 15528 17528 18116 21642 25249 26292 27174 28856 31056 35056 36232 43284 50498 52584 54348 57712 72464 75747 86568 100996 105168 108696 151494 173136 201992 202511 217392 302988 403984 405022 605976 607533 810044 1128991 1211952 1215066 1417577 1620088 2257982 2333729 2430132 2835154 3240176 3386973 4252731 4515964 4667458 4860264 5670308 6773946 7001187 7902937 8505462 9031928 9334916 9720528 11340616 13547892 14002374 15805874 16336103 17010924 18063856 18669832 22681232 23708811 27095784 28004748 31611748 32672206 34021848 37339664 47417622 49008309 54191568 56009496 63223496 65344412 68043696 94835244 98016618 112018992 126446992 130688824 189670488 196033236 261377648 379340976 392066472 730457177 784132944 1460914354 2191371531 2921828708 4382743062 5113200239 5843657416 8765486124 10226400478 11687314832 15339600717 17530972248 20452800956 30679201434 35061944496 40905601912 61358402868 81811203824 122716805736 245433611472