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165640824448 = 27112319925703
BaseRepresentation
bin1001101001000011110…
…1100110011010000000
3120211112210102201102221
42122100331212122000
510203213022340243
6204032213420424
714652506530351
oct2322075463200
9524483381387
10165640824448
116427aa22050
122812893a714
1312809ab8c78
148034b47d28
154496cc7bed
hex2690f66680

165640824448 has 128 divisors (see below), whose sum is σ = 377540352000. Its totient is φ = 71653063680.

The previous prime is 165640824421. The next prime is 165640824457. The reversal of 165640824448 is 844428046561.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 165640824395 and 165640824404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6431565 + ... + 6457267.

It is an arithmetic number, because the mean of its divisors is an integer number (2949534000).

Almost surely, 2165640824448 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 165640824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188770176000).

165640824448 is an abundant number, since it is smaller than the sum of its proper divisors (211899527552).

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

165640824448 is a wasteful number, since it uses less digits than its factorization.

165640824448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25950 (or 25938 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 52.

The spelling of 165640824448 in words is "one hundred sixty-five billion, six hundred forty million, eight hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 199 253 352 368 398 506 704 736 796 1012 1408 1472 1592 2024 2189 2944 3184 4048 4378 4577 6368 8096 8756 9154 12736 16192 17512 18308 25472 25703 32384 35024 36616 50347 51406 70048 73232 100694 102812 140096 146464 201388 205624 280192 282733 292928 402776 411248 565466 585856 591169 805552 822496 1130932 1182338 1611104 1644992 2261864 2364676 3222208 3289984 4523728 4729352 5114897 6444416 6502859 9047456 9458704 10229794 13005718 18094912 18917408 20459588 26011436 36189824 37834816 40919176 52022872 56263867 75669632 81838352 104045744 112527734 117642631 163676704 208091488 225055468 235285262 327353408 416182976 450110936 470570524 654706816 832365952 900221872 941141048 1294068941 1800443744 1882282096 2588137882 3600887488 3764564192 5176275764 7201774976 7529128384 10352551528 15058256768 20705103056 41410206112 82820412224 165640824448