Search a number
-
+
97596494160 = 24351142118779
BaseRepresentation
bin101101011100100110…
…1000101000101010000
3100022220200000121001220
41122321031011011100
53044334200303120
6112500223325040
710023350340564
oct1327115050520
9308820017056
1097596494160
1138432749640
1216ab8a50780
139284897139
144a1bb6b6a4
15281321eb40
hex16b9345150

97596494160 has 160 divisors (see below), whose sum is σ = 330169582080. Its totient is φ = 23651443200.

The previous prime is 97596494143. The next prime is 97596494183. The reversal of 97596494160 is 6149469579.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 97596494094 and 97596494103.

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, 11112651 + ... + 11121429.

It is an arithmetic number, because the mean of its divisors is an integer number (2063559888).

Almost surely, 297596494160 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 97596494160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165084791040).

97596494160 is an abundant number, since it is smaller than the sum of its proper divisors (232573087920).

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

97596494160 is a wasteful number, since it uses less digits than its factorization.

97596494160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13017 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 97596494160 in words is "ninety-seven billion, five hundred ninety-six million, four hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4211 8422 8779 12633 16844 17558 21055 25266 26337 33688 35116 42110 43895 46321 50532 52674 63165 67376 70232 84220 87790 92642 96569 101064 105348 126330 131685 138963 140464 168440 175580 185284 193138 202128 210696 231605 252660 263370 277926 289707 336880 351160 370568 386276 421392 463210 482845 505320 526740 555852 579414 694815 702320 741136 772552 926420 965690 1010640 1053480 1111704 1158828 1389630 1448535 1545104 1852840 1931380 2106960 2223408 2317656 2779260 2897070 3705680 3862760 4635312 5558520 5794140 7725520 11117040 11588280 23176560 36968369 73936738 110905107 147873476 184841845 221810214 295746952 369683690 406652059 443620428 554525535 591493904 739367380 813304118 887240856 1109051070 1219956177 1478734760 1626608236 1774481712 2033260295 2218102140 2439912354 2957469520 3253216472 4066520590 4436204280 4879824708 6099780885 6506432944 8133041180 8872408560 9759649416 12199561770 16266082360 19519298832 24399123540 32532164720 48798247080 97596494160