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172552275968 = 2116721372
BaseRepresentation
bin1010000010110011101…
…0101100100000000000
3121111101110112211112212
42200230322230200000
510311341340312333
6211134110041252
715316002100652
oct2405472544000
9544343484485
10172552275968
11671a7296956
12295374a9228
131336b95a857
1484cca146d2
15474d950448
hex282ceac800

172552275968 has 108 divisors (see below), whose sum is σ = 352821919905. Its totient is φ = 84368080896.

The previous prime is 172552275953. The next prime is 172552275979. The reversal of 172552275968 is 869572255271.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 171223819264 + 1328456704 = 413792^2 + 36448^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=293728.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1259505596 + ... + 1259505732.

Almost surely, 2172552275968 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 172552275968

172552275968 is an abundant number, since it is smaller than the sum of its proper divisors (180269643937).

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

172552275968 is an frugal number, since it uses more digits than its factorization.

172552275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 206 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 59.

The spelling of 172552275968 in words is "one hundred seventy-two billion, five hundred fifty-two million, two hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 137 256 268 274 512 536 548 1024 1072 1096 2048 2144 2192 4288 4384 4489 8576 8768 8978 9179 17152 17536 17956 18358 18769 34304 35072 35912 36716 37538 68608 70144 71824 73432 75076 137216 140288 143648 146864 150152 280576 287296 293728 300304 574592 587456 600608 614993 1149184 1174912 1201216 1229986 1257523 2298368 2349824 2402432 2459972 2515046 4596736 4699648 4804864 4919944 5030092 9193472 9399296 9609728 9839888 10060184 18798592 19219456 19679776 20120368 38438912 39359552 40240736 78719104 80481472 84254041 157438208 160962944 168508082 314876416 321925888 337016164 629752832 643851776 674032328 1259505664 1287703552 1348064656 2575407104 2696129312 5392258624 10784517248 21569034496 43138068992 86276137984 172552275968