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172772074672 = 24172194674211
BaseRepresentation
bin1010000011101000000…
…1001010010010110000
3121111221210010202200121
42200322001022102300
510312314122342142
6211212001100024
715324311255341
oct2407201122260
9544853122617
10172772074672
11672aa37197a
1229599027614
13133a5357762
14850dcac0c8
154762dbac67
hex283a04a4b0

172772074672 has 120 divisors (see below), whose sum is σ = 375201253440. Its totient is φ = 76842132480.

The previous prime is 172772074633. The next prime is 172772074697. The reversal of 172772074672 is 276470277271.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 41026647 + ... + 41030857.

It is an arithmetic number, because the mean of its divisors is an integer number (3126677112).

Almost surely, 2172772074672 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 172772074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187600626720).

172772074672 is an abundant number, since it is smaller than the sum of its proper divisors (202429178768).

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

172772074672 is a wasteful number, since it uses less digits than its factorization.

172772074672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 52.

The spelling of 172772074672 in words is "one hundred seventy-two billion, seven hundred seventy-two million, seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 289 304 323 467 578 646 934 1156 1292 1868 2312 2584 3736 4211 4624 5168 5491 7472 7939 8422 8873 10982 15878 16844 17746 21964 31756 33688 35492 43928 63512 67376 70984 71587 80009 87856 127024 134963 141968 143174 150841 160018 269926 286348 301682 320036 539852 572696 603364 640072 1079704 1145392 1206728 1216979 1280144 1360153 1966537 2159408 2413456 2433958 2564297 2720306 3933074 4867916 5128594 5440612 7866148 9735832 10257188 10881224 15732296 19471664 20514376 21762448 23122601 31464592 33431129 37364203 41028752 46245202 66862258 74728406 92490404 133724516 149456812 184980808 267449032 298913624 369961616 534898064 568329193 597827248 635191451 1136658386 1270382902 2273316772 2540765804 4546633544 5081531608 9093267088 10163063216 10798254667 21596509334 43193018668 86386037336 172772074672