Search a number
-
+
1664410172544 = 27327206400071
BaseRepresentation
bin11000001110000110100…
…100111011110010000000
312220010010121101021010100
4120032012210323302000
5204232203001010134
63312341450202400
7231151431015450
oct30160644736200
95803117337110
101664410172544
11591966173449
1222a6a7723400
13c0c51268482
145a7b4b85d60
152d4660ce999
hex1838693bc80

1664410172544 has 96 divisors (see below), whose sum is σ = 5473729909440. Its totient is φ = 475545761280.

The previous prime is 1664410172531. The next prime is 1664410172591. The reversal of 1664410172544 is 4452710144661.

1664410172544 is a `hidden beast` number, since 1 + 6 + 64 + 41 + 0 + 1 + 7 + 2 + 544 = 666.

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

It is a super-2 number, since 2×16644101725442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1664410172544.

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 11 ways as a sum of consecutive naturals, for example, 103191972 + ... + 103208099.

It is an arithmetic number, because the mean of its divisors is an integer number (57018019890).

Almost surely, 21664410172544 is an apocalyptic number.

1664410172544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1664410172544 is an abundant number, since it is smaller than the sum of its proper divisors (3809319736896).

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

1664410172544 is a wasteful number, since it uses less digits than its factorization.

1664410172544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206400098 (or 206400083 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1664410172544 in words is "one trillion, six hundred sixty-four billion, four hundred ten million, one hundred seventy-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 206400071 412800142 619200213 825600284 1238400426 1444800497 1651200568 1857600639 2476800852 2889600994 3302401136 3715201278 4334401491 4953601704 5779201988 6604802272 7430402556 8668802982 9907203408 11558403976 13003204473 13209604544 14860805112 17337605964 19814406816 23116807952 26006408946 26419209088 29721610224 34675211928 39628813632 46233615904 52012817892 59443220448 69350423856 79257627264 92467231808 104025635784 118886440896 138700847712 184934463616 208051271568 237772881792 277401695424 416102543136 554803390848 832205086272 1664410172544