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161217705320 = 23575910394747
BaseRepresentation
bin1001011000100101010…
…0101111010101101000
3120102010112112222122222
42112021110233111220
510120133213032240
6202021250533212
714435060612330
oct2261124572550
9512115488588
10161217705320
11624102121a1
12272b3597208
131228361cc09
147b355320c0
1542d8823eb5
hex258952f568

161217705320 has 128 divisors (see below), whose sum is σ = 425683814400. Its totient is φ = 53809664256.

The previous prime is 161217705307. The next prime is 161217705331. The reversal of 161217705320 is 23507712161.

It is a super-2 number, since 2×1612177053202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 1654187 + ... + 1748933.

It is an arithmetic number, because the mean of its divisors is an integer number (3325654800).

Almost surely, 2161217705320 is an apocalyptic number.

161217705320 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 161217705320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212841907200).

161217705320 is an abundant number, since it is smaller than the sum of its proper divisors (264466109080).

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

161217705320 is a wasteful number, since it uses less digits than its factorization.

161217705320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94927 (or 94923 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 161217705320 in words is "one hundred sixty-one billion, two hundred seventeen million, seven hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 103 118 140 206 236 280 295 412 413 472 515 590 721 824 826 1030 1180 1442 1652 2060 2065 2360 2884 3304 3605 4120 4130 5768 6077 7210 8260 12154 14420 16520 24308 28840 30385 42539 48616 60770 85078 94747 121540 170156 189494 212695 243080 340312 378988 425390 473735 663229 757976 850780 947470 1326458 1701560 1894940 2652916 3316145 3789880 5305832 5590073 6632290 9758941 11180146 13264580 19517882 22360292 26529160 27950365 39035764 39130511 44720584 48794705 55900730 68312587 78071528 78261022 97589410 111801460 136625174 156522044 195178820 195652555 223602920 273250348 313044088 341562935 390357640 391305110 546500696 575777519 683125870 782610220 1151555038 1366251740 1565220440 2303110076 2732503480 2878887595 4030442633 4606220152 5757775190 8060885266 11515550380 16121770532 20152213165 23031100760 32243541064 40304426330 80608852660 161217705320