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134465436450 = 23352211472057
BaseRepresentation
bin111110100111011000…
…0111011101100100010
3110212002010102220212000
41331032300323230202
54200341122431300
6141434512544430
712500115231342
oct1751660735442
9425063386760
10134465436450
1152032262684
1222088252116
13c8ac069117
146718578d22
15376edc5c00
hex1f4ec3bb22

134465436450 has 96 divisors (see below), whose sum is σ = 372283821120. Its totient is φ = 35687433600.

The previous prime is 134465436407. The next prime is 134465436463. The reversal of 134465436450 is 54634564431.

134465436450 is a `hidden beast` number, since 1 + 3 + 4 + 46 + 543 + 64 + 5 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 134465436396 and 134465436405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48822 + ... + 520878.

It is an arithmetic number, because the mean of its divisors is an integer number (3877956470).

Almost surely, 2134465436450 is an apocalyptic number.

134465436450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134465436450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186141910560).

134465436450 is an abundant number, since it is smaller than the sum of its proper divisors (237818384670).

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

134465436450 is a wasteful number, since it uses less digits than its factorization.

134465436450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472289 (or 472278 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 134465436450 in words is "one hundred thirty-four billion, four hundred sixty-five million, four hundred thirty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 211 225 270 422 450 633 675 1055 1266 1350 1899 2110 3165 3798 5275 5697 6330 9495 10550 11394 15825 18990 28485 31650 47475 56970 94950 142425 284850 472057 944114 1416171 2360285 2832342 4248513 4720570 7080855 8497026 11801425 12745539 14161710 21242565 23602850 25491078 35404275 42485130 63727695 70808550 99604027 106212825 127455390 199208054 212425650 298812081 318638475 498020135 597624162 637276950 896436243 996040270 1494060405 1792872486 2490100675 2689308729 2988120810 4482181215 4980201350 5378617458 7470302025 8964362430 13446543645 14940604050 22410906075 26893087290 44821812150 67232718225 134465436450