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34455110052 = 22311898813329
BaseRepresentation
bin100000000101101011…
…110100000110100100
310021221020100221110010
4200011223310012210
51031031002010202
623454540330220
72326554413616
oct400553640644
9107836327403
1034455110052
1113681014170
126816b43970
1333313823ac
14194bdcadb6
15d69ceb76c
hex805af41a4

34455110052 has 96 divisors (see below), whose sum is σ = 88816694400. Its totient is φ = 10308812800.

The previous prime is 34455110051. The next prime is 34455110069. The reversal of 34455110052 is 25001155443.

It is not an unprimeable number, because it can be changed into a prime (34455110051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10348324 + ... + 10351652.

It is an arithmetic number, because the mean of its divisors is an integer number (925173900).

Almost surely, 234455110052 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 34455110052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44408347200).

34455110052 is an abundant number, since it is smaller than the sum of its proper divisors (54361584348).

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

34455110052 is a wasteful number, since it uses less digits than its factorization.

34455110052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 34455110052 its reverse (25001155443), we get a palindrome (59456265495).

The spelling of 34455110052 in words is "thirty-four billion, four hundred fifty-five million, one hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 881 979 1068 1762 1958 2643 2937 3329 3524 3916 5286 5874 6658 9691 9987 10572 11748 13316 19382 19974 29073 36619 38764 39948 58146 73238 78409 109857 116292 146476 156818 219714 235227 296281 313636 439428 470454 592562 862499 888843 940908 1185124 1724998 1777686 2587497 2932849 3259091 3449996 3555372 5174994 5865698 6518182 8798547 9777273 10349988 11731396 13036364 17597094 19554546 32261339 35194188 39109092 64522678 96784017 129045356 193568034 261023561 387136068 522047122 783070683 1044094244 1566141366 2871259171 3132282732 5742518342 8613777513 11485036684 17227555026 34455110052