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173134505344 = 2722731718797
BaseRepresentation
bin1010000100111110011…
…1101110010110000000
3121112220001010011002211
42201033213232112000
510314034413132334
6211311545151504
715336302004463
oct2411747562600
9545801104084
10173134505344
1167475a07459
122967a48b594
1313432473988
1485460932da
154784b0ca64
hex284f9ee580

173134505344 has 64 divisors (see below), whose sum is σ = 347547198960. Its totient is φ = 85909448704.

The previous prime is 173134505293. The next prime is 173134505363. The reversal of 173134505344 is 443505431371.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 173134505297 and 173134505306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9201354 + ... + 9220150.

Almost surely, 2173134505344 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 173134505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173773599480).

173134505344 is an abundant number, since it is smaller than the sum of its proper divisors (174412693616).

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

173134505344 is a wasteful number, since it uses less digits than its factorization.

173134505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19355 (or 19343 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 173134505344 in words is "one hundred seventy-three billion, one hundred thirty-four million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 227 317 454 634 908 1268 1816 2536 3632 5072 7264 10144 14528 18797 20288 29056 37594 40576 71959 75188 143918 150376 287836 300752 575672 601504 1151344 1203008 2302688 2406016 4266919 4605376 5958649 8533838 9210752 11917298 17067676 23834596 34135352 47669192 68270704 95338384 136541408 190676768 273082816 381353536 546165632 762707072 1352613323 2705226646 5410453292 10820906584 21641813168 43283626336 86567252672 173134505344