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431426433552 = 243232274573767
BaseRepresentation
bin1100100011100110000…
…01001111001000010000
31112020120211221121100020
412101303001033020100
524032030131333202
6530110005423440
743112102115162
oct6216301171020
91466524847306
10431426433552
11156a6aa7a034
126b743a0ab80
13318b63a875a
1416c49c40932
15b3508895bc
hex647304f210

431426433552 has 160 divisors (see below), whose sum is σ = 1170965624832. Its totient is φ = 136614331392.

The previous prime is 431426433491. The next prime is 431426433569. The reversal of 431426433552 is 255334624134.

It is a super-2 number, since 2×4314264335522 (a number of 24 digits) contains 22 as substring.

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, 114525973 + ... + 114529739.

Almost surely, 2431426433552 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 431426433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585482812416).

431426433552 is an abundant number, since it is smaller than the sum of its proper divisors (739539191280).

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

431426433552 is a wasteful number, since it uses less digits than its factorization.

431426433552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4479 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The spelling of 431426433552 in words is "four hundred thirty-one billion, four hundred twenty-six million, four hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 227 276 368 454 457 552 681 908 914 1104 1362 1371 1816 1828 2724 2742 3632 3656 3767 5221 5448 5484 7312 7534 10442 10511 10896 10968 11301 15068 15663 20884 21022 21936 22602 30136 31326 31533 41768 42044 45204 60272 62652 63066 83536 84088 86641 90408 103739 125304 126132 168176 173282 180816 207478 250608 252264 259923 311217 346564 414956 504528 519846 622434 693128 829912 855109 1039692 1244868 1386256 1659824 1710218 1721519 2079384 2385997 2489736 2565327 3420436 3443038 4158768 4771994 4979472 5130654 5164557 6840872 6886076 7157991 9543988 10261308 10329114 13681744 13772152 14315982 19087976 19667507 20522616 20658228 27544304 28631964 38175952 39335014 39594937 41045232 41316456 57263928 59002521 78670028 79189874 82632912 114527856 118005042 118784811 157340056 158379748 236010084 237569622 314680112 316759496 390784813 472020168 475139244 633518992 781569626 944040336 950278488 1172354439 1563139252 1900556976 2344708878 3126278504 4689417756 6252557008 8988050699 9378835512 17976101398 18757671024 26964152097 35952202796 53928304194 71904405592 107856608388 143808811184 215713216776 431426433552