Search a number
-
+
161630647560 = 23335374044811
BaseRepresentation
bin1001011010000111101…
…1111111010100001000
3120110012022120121221000
42112201323333110020
510122004421210220
6202130241415000
714451233556504
oct2264173772410
9513168517830
10161630647560
1162602317878
12273a993a460
131231b043335
147b74305304
15430ebe2390
hex25a1eff508

161630647560 has 128 divisors (see below), whose sum is σ = 553330281600. Its totient is φ = 41936590080.

The previous prime is 161630647483. The next prime is 161630647571. The reversal of 161630647560 is 65746036161.

161630647560 is a `hidden beast` number, since 1 + 6 + 1 + 630 + 6 + 4 + 7 + 5 + 6 + 0 = 666.

161630647560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1616306475602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1982446 + ... + 2062365.

It is an arithmetic number, because the mean of its divisors is an integer number (4322892825).

Almost surely, 2161630647560 is an apocalyptic number.

161630647560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161630647560 is an abundant number, since it is smaller than the sum of its proper divisors (391699634040).

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

161630647560 is a wasteful number, since it uses less digits than its factorization.

161630647560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044868 (or 4044858 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 161630647560 in words is "one hundred sixty-one billion, six hundred thirty million, six hundred forty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 9990 13320 19980 39960 4044811 8089622 12134433 16179244 20224055 24268866 32358488 36403299 40448110 48537732 60672165 72806598 80896220 97075464 109209897 121344330 145613196 149658007 161792440 182016495 218419794 242688660 291226392 299316014 364032990 436839588 448974021 485377320 546049485 598632028 728065980 748290035 873679176 897948042 1092098970 1197264056 1346922063 1456131960 1496580070 1795896084 2184197940 2244870105 2693844126 2993160140 3591792168 4040766189 4368395880 4489740210 5387688252 5986320280 6734610315 8081532378 8979480420 10775376504 13469220630 16163064756 17958960840 20203830945 26938441260 32326129512 40407661890 53876882520 80815323780 161630647560