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172940361168 = 243193161100279
BaseRepresentation
bin1010000100010000001…
…1000111110111010000
3121112101111210121100210
42201010003013313100
510313140213024133
6211240412044120
715331423546461
oct2410403076720
9545344717323
10172940361168
1167386364023
1229625463640
1313401189b73
148528396d68
154772a5d763
hex28440c7dd0

172940361168 has 160 divisors (see below), whose sum is σ = 493409689600. Its totient is φ = 51984115200.

The previous prime is 172940361131. The next prime is 172940361203. The reversal of 172940361168 is 861163049271.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674453 + ... + 1774731.

It is an arithmetic number, because the mean of its divisors is an integer number (3083810560).

Almost surely, 2172940361168 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 172940361168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246704844800).

172940361168 is an abundant number, since it is smaller than the sum of its proper divisors (320469328432).

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

172940361168 is a wasteful number, since it uses less digits than its factorization.

172940361168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100401 (or 100395 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 172940361168 in words is "one hundred seventy-two billion, nine hundred forty million, three hundred sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 61 62 76 93 114 122 124 152 183 186 228 244 248 304 366 372 456 488 496 589 732 744 912 976 1159 1178 1464 1488 1767 1891 2318 2356 2928 3477 3534 3782 4636 4712 5673 6954 7068 7564 9272 9424 11346 13908 14136 15128 18544 22692 27816 28272 30256 35929 45384 55632 71858 90768 100279 107787 143716 200558 215574 287432 300837 401116 431148 574864 601674 802232 862296 1203348 1604464 1724592 1905301 2406696 3108649 3810602 4813392 5715903 6117019 6217298 7621204 9325947 11431806 12234038 12434596 15242408 18351057 18651894 22863612 24468076 24869192 30484816 36702114 37303788 45727224 48936152 49738384 59064331 73404228 74607576 91454448 97872304 116223361 118128662 146808456 149215152 177192993 189627589 232446722 236257324 293616912 348670083 354385986 379255178 464893444 472514648 568882767 697340166 708771972 758510356 929786888 945029296 1137765534 1394680332 1417543944 1517020712 1859573776 2275531068 2789360664 2835087888 3034041424 3602924191 4551062136 5578721328 7205848382 9102124272 10808772573 14411696764 21617545146 28823393528 43235090292 57646787056 86470180584 172940361168