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164853250360 = 235294331110627
BaseRepresentation
bin1001100110001000000…
…1001111100100111000
3120202111220110210220021
42121202001033210320
510200104413002420
6203422121140224
714624134336111
oct2314201174470
9522456423807
10164853250360
1163a063a8a77
1227b4902a674
1312712896bb6
147d9c2d5208
15444caa77aa
hex266204f938

164853250360 has 128 divisors (see below), whose sum is σ = 393933196800. Its totient is φ = 61981032960.

The previous prime is 164853250351. The next prime is 164853250427. The reversal of 164853250360 is 63052358461.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15507367 + ... + 15517993.

It is an arithmetic number, because the mean of its divisors is an integer number (3077603100).

Almost surely, 2164853250360 is an apocalyptic number.

164853250360 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 164853250360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196966598400).

164853250360 is an abundant number, since it is smaller than the sum of its proper divisors (229079946440).

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

164853250360 is a wasteful number, since it uses less digits than its factorization.

164853250360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11021 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 164853250360 in words is "one hundred sixty-four billion, eight hundred fifty-three million, two hundred fifty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 43 58 86 116 145 172 215 232 290 311 344 430 580 622 860 1160 1244 1247 1555 1720 2488 2494 3110 4988 6220 6235 9019 9976 10627 12440 12470 13373 18038 21254 24940 26746 36076 42508 45095 49880 53135 53492 66865 72152 85016 90190 106270 106984 133730 180380 212540 267460 308183 360760 387817 425080 456961 534920 616366 775634 913922 1232732 1540915 1551268 1827844 1939085 2284805 2465464 3081830 3102536 3304997 3655688 3878170 4569610 6163660 6609994 7756340 9139220 12327320 13219988 13251869 15512680 16524985 18278440 26439976 26503738 33049970 53007476 66099940 66259345 95844913 106014952 132199880 132518690 142114871 191689826 265037380 284229742 383379652 479224565 530074760 568459484 710574355 766759304 958449130 1136918968 1421148710 1916898260 2842297420 3833796520 4121331259 5684594840 8242662518 16485325036 20606656295 32970650072 41213312590 82426625180 164853250360