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666672025440 = 253512011156453
BaseRepresentation
bin10011011001110001011…
…11111100111101100000
32100201210112000212111210
421230320233330331200
541410321014303230
61230133115110120
766110516500641
oct11547057747540
92321715025453
10666672025440
11237808a84073
12a9257142340
134ab36779735
14243a4cbb6c8
151251d201eb0
hex9b38bfcf60

666672025440 has 96 divisors (see below), whose sum is σ = 2101767254496. Its totient is φ = 177631027200.

The previous prime is 666672025361. The next prime is 666672025493. The reversal of 666672025440 is 44520276666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 666672025440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1747 + ... + 1154706.

It is an arithmetic number, because the mean of its divisors is an integer number (21893408901).

Almost surely, 2666672025440 is an apocalyptic number.

666672025440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666672025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050883627248).

666672025440 is an abundant number, since it is smaller than the sum of its proper divisors (1435095229056).

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

666672025440 is a wasteful number, since it uses less digits than its factorization.

666672025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157672 (or 1157664 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 666672025440 in words is "six hundred sixty-six billion, six hundred seventy-two million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1201 2402 3603 4804 6005 7206 9608 12010 14412 18015 19216 24020 28824 36030 38432 48040 57648 72060 96080 115296 144120 192160 288240 576480 1156453 2312906 3469359 4625812 5782265 6938718 9251624 11564530 13877436 17346795 18503248 23129060 27754872 34693590 37006496 46258120 55509744 69387180 92516240 111019488 138774360 185032480 277548720 555097440 1388900053 2777800106 4166700159 5555600212 6944500265 8333400318 11111200424 13889000530 16666800636 20833500795 22222400848 27778001060 33333601272 41667001590 44444801696 55556002120 66667202544 83334003180 111112004240 133334405088 166668006360 222224008480 333336012720 666672025440