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165166550240 = 255477124357
BaseRepresentation
bin1001100111010010110…
…0011000110011100000
3120210022202000002112112
42121310230120303200
510201230114101430
6203513152214452
714634660340616
oct2316454306340
9523282002475
10165166550240
116405723689a
1228015b3a428
1312762770543
147dcbb6b6b6
15446a342195
hex2674b18ce0

165166550240 has 144 divisors (see below), whose sum is σ = 404292845376. Its totient is φ = 63735598080.

The previous prime is 165166550239. The next prime is 165166550243. The reversal of 165166550240 is 42055661561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165166550243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37906142 + ... + 37910498.

It is an arithmetic number, because the mean of its divisors is an integer number (2807589204).

Almost surely, 2165166550240 is an apocalyptic number.

165166550240 is a gapful number since it is divisible by the number (10) 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 165166550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202146422688).

165166550240 is an abundant number, since it is smaller than the sum of its proper divisors (239126295136).

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

165166550240 is an equidigital number, since it uses as much as digits as its factorization.

165166550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 165166550240 in words is "one hundred sixty-five billion, one hundred sixty-six million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 71 80 94 142 160 188 235 284 355 376 470 568 710 752 940 1136 1420 1504 1880 2272 2840 3337 3760 4357 5041 5680 6674 7520 8714 10082 11360 13348 16685 17428 20164 21785 25205 26696 33370 34856 40328 43570 50410 53392 66740 69712 80656 87140 100820 106784 133480 139424 161312 174280 201640 204779 236927 266960 309347 348560 403280 409558 473854 533920 618694 697120 806560 819116 947708 1023895 1184635 1237388 1546735 1638232 1895416 2047790 2369270 2474776 3093470 3276464 3790832 4095580 4738540 4949552 6186940 6552928 7581664 8191160 9477080 9899104 12373880 14539309 16382320 18954160 21963637 24747760 29078618 32764640 37908320 43927274 49495520 58157236 72696545 87854548 109818185 116314472 145393090 175709096 219636370 232628944 290786180 351418192 439272740 465257888 581572360 702836384 878545480 1032290939 1163144720 1757090960 2064581878 2326289440 3514181920 4129163756 5161454695 8258327512 10322909390 16516655024 20645818780 33033310048 41291637560 82583275120 165166550240