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83196974394320 = 24513731182929443
BaseRepresentation
bin10010111010101011001110…
…000110101110101111010000
3101220120112221012012021211212
4102322223032012232233100
541401044400421104240
6452540055024555252
723344532404111553
oct2272531606565720
9356515835167755
1083196974394320
1124566703117756
1293b816a482b28
133756596c02c67
141678a7dbbc69a
15994226ba1165
hex4baace1aebd0

83196974394320 has 160 divisors (see below), whose sum is σ = 195713834584320. Its totient is φ = 32888814981120.

The previous prime is 83196974394311. The next prime is 83196974394341. The reversal of 83196974394320 is 2349347969138.

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, 2825681519 + ... + 2825710961.

It is an arithmetic number, because the mean of its divisors is an integer number (1223211466152).

Almost surely, 283196974394320 is an apocalyptic number.

83196974394320 is a gapful number since it is divisible by the number (80) 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 83196974394320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97856917292160).

83196974394320 is an abundant number, since it is smaller than the sum of its proper divisors (112516860190000).

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

83196974394320 is a wasteful number, since it uses less digits than its factorization.

83196974394320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30733 (or 30727 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 68.

The spelling of 83196974394320 in words is "eighty-three trillion, one hundred ninety-six billion, nine hundred seventy-four million, three hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 311 548 622 685 829 1096 1244 1370 1555 1658 2192 2488 2740 3110 3316 4145 4976 5480 6220 6632 8290 10960 12440 13264 16580 24880 29443 33160 42607 58886 66320 85214 113573 117772 147215 170428 213035 227146 235544 257819 294430 340856 426070 454292 471088 515638 567865 588860 681712 852140 908584 1031276 1135730 1177720 1289095 1704280 1817168 2062552 2271460 2355440 2578190 3408560 4033691 4125104 4542920 5156380 8067382 9085840 9156773 10312760 16134764 18313546 20168455 20625520 24408247 32269528 35321203 36627092 40336910 45783865 48816494 64539056 70642406 73254184 80673820 91567730 97632988 122041235 141284812 146508368 161347640 176606015 183135460 195265976 244082470 282569624 322695280 353212030 366270920 390531952 488164940 565139248 706424060 732541840 976329880 1254477901 1412848120 1952659760 2508955802 2825696240 3343929839 5017911604 6272389505 6687859678 7590964817 10035823208 12544779010 13375719356 15181929634 16719649195 20071646416 25089558020 26751438712 30363859268 33439298390 37954824085 50179116040 53502877424 60727718536 66878596780 75909648170 100358232080 121455437072 133757193560 151819296340 267514387120 303638592680 607277185360 1039962179929 2079924359858 4159848719716 5199810899645 8319697439432 10399621799290 16639394878864 20799243598580 41598487197160 83196974394320