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34936248448 = 27678349081
BaseRepresentation
bin100000100010010111…
…001101100010000000
310100011202201022020201
4200202113031202000
51033022134422243
624014405014544
72344516132513
oct404227154200
9110152638221
1034936248448
11138a8668602
1269300b4454
1333a9c6227a
141995c72d7a
15d9718b04d
hex8225cd880

34936248448 has 64 divisors (see below), whose sum is σ = 71490877920. Its totient is φ = 16999741440.

The previous prime is 34936248443. The next prime is 34936248527. The reversal of 34936248448 is 84484263943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (34936248443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687268 + ... + 736348.

Almost surely, 234936248448 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 34936248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35745438960).

34936248448 is an abundant number, since it is smaller than the sum of its proper divisors (36554629472).

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

34936248448 is an equidigital number, since it uses as much as digits as its factorization.

34936248448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49245 (or 49233 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 55.

The spelling of 34936248448 in words is "thirty-four billion, nine hundred thirty-six million, two hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 67 83 128 134 166 268 332 536 664 1072 1328 2144 2656 4288 5312 5561 8576 10624 11122 22244 44488 49081 88976 98162 177952 196324 355904 392648 711808 785296 1570592 3141184 3288427 4073723 6282368 6576854 8147446 13153708 16294892 26307416 32589784 52614832 65179568 105229664 130359136 210459328 260718272 272939441 420918656 521436544 545878882 1091757764 2183515528 4367031056 8734062112 17468124224 34936248448