Search a number
-
+
173402135952 = 243191609118169
BaseRepresentation
bin1010000101111110010…
…0101001110110010000
3121120120200201012021120
42201133210221312100
510320111421322302
6211354305322240
715346031556603
oct2413744516620
9546520635246
10173402135952
11675a2a92281
1229734036380
1313475a4a196
14856d83c33a
15479d3759bc
hex285f929d90

173402135952 has 80 divisors (see below), whose sum is σ = 471829176000. Its totient is φ = 54724073472.

The previous prime is 173402135947. The next prime is 173402135983. The reversal of 173402135952 is 259531204371.

173402135952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1408324 + ... + 1526492.

It is an arithmetic number, because the mean of its divisors is an integer number (5897864700).

Almost surely, 2173402135952 is an apocalyptic number.

173402135952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173402135952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235914588000).

173402135952 is an abundant number, since it is smaller than the sum of its proper divisors (298427040048).

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

173402135952 is a wasteful number, since it uses less digits than its factorization.

173402135952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119808 (or 119802 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 173402135952 in words is "one hundred seventy-three billion, four hundred two million, one hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1609 3218 4827 6436 9654 12872 19308 25744 30571 38616 61142 77232 91713 118169 122284 183426 236338 244568 354507 366852 472676 489136 709014 733704 945352 1418028 1467408 1890704 2245211 2836056 4490422 5672112 6735633 8980844 13471266 17961688 26942532 35923376 53885064 107770128 190133921 380267842 570401763 760535684 1140803526 1521071368 2281607052 3042142736 3612544499 4563214104 7225088998 9126428208 10837633497 14450177996 21675266994 28900355992 43350533988 57800711984 86701067976 173402135952