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42557645430 = 2345238632647
BaseRepresentation
bin100111101000101000…
…100010001001110110
311001211220201101110000
4213220220202021312
51144124224123210
631314542012130
73034422006006
oct475050421166
9131756641400
1042557645430
11170597549a3
1282b8577046
134022c16021
1420ba146006
1511912ecac0
hex9e8a22276

42557645430 has 160 divisors (see below), whose sum is σ = 119591645184. Its totient is φ = 10838608704.

The previous prime is 42557645381. The next prime is 42557645441. The reversal of 42557645430 is 3454675524.

42557645430 is a `hidden beast` number, since 4 + 2 + 5 + 576 + 45 + 4 + 30 = 666.

It is a super-2 number, since 2×425576454302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16076367 + ... + 16079013.

Almost surely, 242557645430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42557645430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59795822592).

42557645430 is an abundant number, since it is smaller than the sum of its proper divisors (77033999754).

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

42557645430 is a wasteful number, since it uses less digits than its factorization.

42557645430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 42557645430 in words is "forty-two billion, five hundred fifty-seven million, six hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 621 690 810 863 1035 1242 1726 1863 2070 2589 2647 3105 3726 4315 5178 5294 6210 7767 7941 8630 9315 12945 13235 15534 15882 18630 19849 23301 23823 25890 26470 38835 39698 39705 46602 47646 59547 60881 69903 71469 77670 79410 99245 116505 119094 119115 121762 139806 142938 178641 182643 198490 214407 233010 238230 297735 304405 349515 357282 357345 365286 428814 535923 547929 595470 608810 699030 714690 893205 913215 1071846 1072035 1095858 1607769 1643787 1786410 1826430 2144070 2284361 2679615 2739645 3215538 3287574 4568722 4931361 5359230 5479290 6853083 8038845 8218935 9862722 11421805 13706166 16077690 16437870 20559249 22843610 24656805 34265415 41118498 49313610 52540303 61677747 68530830 102796245 105080606 123355494 157620909 185033241 205592490 262701515 308388735 315241818 370066482 472862727 525403030 616777470 788104545 925166205 945725454 1418588181 1576209090 1850332410 2364313635 2837176362 4255764543 4728627270 7092940905 8511529086 14185881810 21278822715 42557645430