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1020433640632 = 23747391998929
BaseRepresentation
bin11101101100101101001…
…01011010110010111000
310121112220202220220211221
432312112211122302320
5113204322003000012
62100440350201424
7133503203555230
oct16662645326270
93545822826757
101020433640632
113638442075aa
121459251b3274
13752c3762b63
143756416ccc0
151b8255dd507
hexed9695acb8

1020433640632 has 64 divisors (see below), whose sum is σ = 2233760256000. Its totient is φ = 427910294016.

The previous prime is 1020433640627. The next prime is 1020433640659. The reversal of 1020433640632 is 2360463340201.

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, 10265344 + ... + 10364272.

It is an arithmetic number, because the mean of its divisors is an integer number (34902504000).

Almost surely, 21020433640632 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 1020433640632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116880128000).

1020433640632 is an abundant number, since it is smaller than the sum of its proper divisors (1213326615368).

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

1020433640632 is a wasteful number, since it uses less digits than its factorization.

1020433640632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102908 (or 102904 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 1020433640632 its reverse (2360463340201), we get a palindrome (3380896980833).

The spelling of 1020433640632 in words is "one trillion, twenty billion, four hundred thirty-three million, six hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 2632 3919 7838 15676 27433 31352 54866 98929 109732 184193 197858 219464 368386 395716 692503 736772 791432 1289351 1385006 1473544 2578702 2770012 4649663 5157404 5540024 9299326 10314808 18598652 32547641 37197304 65095282 130190564 260381128 387702751 775405502 1550811004 2713919257 3101622008 5427838514 10855677028 18222029297 21711354056 36444058594 72888117188 127554205079 145776234376 255108410158 510216820316 1020433640632