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1720665613344 = 253413067142537
BaseRepresentation
bin11001000010011111101…
…010011010010000100000
320002111100010220202022210
4121002133222122100200
5211142410344111334
63354243551402120
7235212461252106
oct31023752322040
96074303822283
101720665613344
11603803976787
12239587523340
13c6347c9cc52
145d3d01b9c76
152eb59c185e9
hex1909fa9a420

1720665613344 has 96 divisors (see below), whose sum is σ = 4628452885056. Its totient is φ = 559379681280.

The previous prime is 1720665613333. The next prime is 1720665613363. The reversal of 1720665613344 is 4433165660271.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1720665613293 and 1720665613302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12000444 + ... + 12142980.

It is an arithmetic number, because the mean of its divisors is an integer number (48213050886).

Almost surely, 21720665613344 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 1720665613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314226442528).

1720665613344 is an abundant number, since it is smaller than the sum of its proper divisors (2907787271712).

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

1720665613344 is a wasteful number, since it uses less digits than its factorization.

1720665613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145658 (or 145650 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 1720665613344 in words is "one trillion, seven hundred twenty billion, six hundred sixty-five million, six hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3067 3936 6134 9201 12268 18402 24536 36804 49072 73608 98144 125747 142537 147216 251494 285074 294432 377241 427611 502988 570148 754482 855222 1005976 1140296 1508964 1710444 2011952 2280592 3017928 3420888 4023904 4561184 5844017 6035856 6841776 11688034 12071712 13683552 17532051 23376068 35064102 46752136 70128204 93504272 140256408 187008544 280512816 437160979 561025632 874321958 1311482937 1748643916 2622965874 3497287832 5245931748 6994575664 10491863496 13989151328 17923600139 20983726992 35847200278 41967453984 53770800417 71694400556 107541600834 143388801112 215083201668 286777602224 430166403336 573555204448 860332806672 1720665613344