Search a number
-
+
92820019292 = 2272111310132789
BaseRepresentation
bin101011001110010000…
…0010001100001011100
322212120210020112100022
41112130200101201130
53010043411104132
6110350235051312
76464111101100
oct1263440214134
9285523215308
1092820019292
1136401532350
1215ba52a0b38
1389a313b650
1446c7653900
152633c1ce12
hex159c81185c

92820019292 has 144 divisors (see below), whose sum is σ = 224193886560. Its totient is φ = 33050304000.

The previous prime is 92820019231. The next prime is 92820019361. The reversal of 92820019292 is 29291002829.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2814434 + ... + 2847222.

It is an arithmetic number, because the mean of its divisors is an integer number (1556901990).

Almost surely, 292820019292 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 92820019292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112096943280).

92820019292 is an abundant number, since it is smaller than the sum of its proper divisors (131373867268).

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

92820019292 is a wasteful number, since it uses less digits than its factorization.

92820019292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32932 (or 32923 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 92820019292 in words is "ninety-two billion, eight hundred twenty million, nineteen thousand, two hundred ninety-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 101 143 154 182 196 202 286 308 364 404 539 572 637 707 1001 1078 1111 1274 1313 1414 2002 2156 2222 2548 2626 2828 4004 4444 4949 5252 7007 7777 9191 9898 14014 14443 15554 18382 19796 28028 28886 31108 32789 36764 54439 57772 64337 65578 101101 108878 128674 131156 202202 217756 229523 257348 360679 404404 426257 459046 707707 721358 852514 918092 1415414 1442716 1606661 1705028 2524753 2830828 2983799 3213322 3311689 4688827 5049506 5967598 6426644 6623378 9377654 10099012 11935196 13246756 17673271 18755308 20886593 23181823 32821789 35346542 36428579 41773186 43051957 46363646 65643578 70693084 72857158 83546372 86103914 92727292 131287156 145714316 162272761 172207828 229752523 255000053 301363699 324545522 459505046 473571527 510000106 602727398 649091044 919010092 947143054 1020000212 1205454796 1785000371 1894286108 2109545893 3315000689 3570000742 4219091786 6630001378 7140001484 8438183572 13260002756 23205004823 46410009646 92820019292