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164507245650 = 23552111230881
BaseRepresentation
bin1001100100110101100…
…1010101110001010010
3120201121210101221200000
42121031121111301102
510143402323330100
6203323521110430
714612433342036
oct2311531256122
9521553357600
10164507245650
1163849062570
1227a71188416
1312688cac397
147d683881c6
15442c50c900
hex264d655c52

164507245650 has 144 divisors (see below), whose sum is σ = 500013809568. Its totient is φ = 39880512000.

The previous prime is 164507245559. The next prime is 164507245681. The reversal of 164507245650 is 56542705461.

164507245650 is a `hidden beast` number, since 1 + 64 + 5 + 0 + 7 + 24 + 565 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164507245596 and 164507245605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481791 + ... + 749090.

It is an arithmetic number, because the mean of its divisors is an integer number (3472318122).

Almost surely, 2164507245650 is an apocalyptic number.

164507245650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164507245650 is an abundant number, since it is smaller than the sum of its proper divisors (335506563918).

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

164507245650 is a wasteful number, since it uses less digits than its factorization.

164507245650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230919 (or 1230902 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 164507245650 in words is "one hundred sixty-four billion, five hundred seven million, two hundred forty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 81 90 99 110 135 150 162 165 198 225 243 270 275 297 330 405 450 486 495 550 594 675 810 825 891 990 1215 1350 1485 1650 1782 2025 2430 2475 2673 2970 4050 4455 4950 5346 6075 7425 8910 12150 13365 14850 22275 26730 44550 66825 133650 1230881 2461762 3692643 6154405 7385286 11077929 12308810 13539691 18463215 22155858 27079382 30772025 33233787 36926430 40619073 55389645 61544050 66467574 67698455 81238146 92316075 99701361 110779290 121857219 135396910 166168935 184632150 199402722 203095365 243714438 276948225 299104083 332337870 338492275 365571657 406190730 498506805 553896450 598208166 609286095 676984550 731143314 830844675 997013610 1015476825 1096714971 1218572190 1495520415 1661689350 1827858285 2030953650 2193429942 2492534025 2991040830 3046430475 3290144913 3655716570 4985068050 5483574855 6092860950 6580289826 7477602075 9139291425 10967149710 14955204150 16450724565 18278582850 27417874275 32901449130 54835748550 82253622825 164507245650