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76096376320 = 295239277449
BaseRepresentation
bin100011011011110110…
…0101000111000000000
321021102021202110000011
41012313230220320000
52221321133020240
654542545234304
75332511345356
oct1066754507000
9237367673004
1076096376320
112a2aa469908
12128b8632994
137239488713
14397c5517d6
151ea59346ea
hex11b7b28e00

76096376320 has 160 divisors (see below), whose sum is σ = 184287312000. Its totient is φ = 30134501376.

The previous prime is 76096376299. The next prime is 76096376347. The reversal of 76096376320 is 2367369067.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169479456 + ... + 169479904.

It is an arithmetic number, because the mean of its divisors is an integer number (1151795700).

Almost surely, 276096376320 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 76096376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92143656000).

76096376320 is an abundant number, since it is smaller than the sum of its proper divisors (108190935680).

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

76096376320 is a wasteful number, since it uses less digits than its factorization.

76096376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 49.

The spelling of 76096376320 in words is "seventy-six billion, ninety-six million, three hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 256 277 320 449 478 512 554 640 898 956 1108 1195 1280 1385 1796 1912 2216 2245 2390 2560 2770 3592 3824 4432 4490 4780 5540 7184 7648 8864 8980 9560 11080 14368 15296 17728 17960 19120 22160 28736 30592 35456 35920 38240 44320 57472 61184 66203 70912 71840 76480 88640 107311 114944 122368 124373 132406 141824 143680 152960 177280 214622 229888 248746 264812 287360 305920 331015 354560 429244 497492 529624 536555 574720 611840 621865 662030 709120 858488 994984 1059248 1073110 1149440 1243730 1324060 1716976 1989968 2118496 2146220 2487460 2648120 3433952 3979936 4236992 4292440 4974920 5296240 6867904 7959872 8473984 8584880 9949840 10592480 13735808 15919744 16947968 17169760 19899680 21184960 27471616 29725147 31839488 33895936 34339520 39799360 42369920 54943232 59450294 63678976 68679040 79598720 84739840 118900588 137358080 148625735 159197440 169479680 237801176 274716160 297251470 318394880 475602352 594502940 951204704 1189005880 1902409408 2378011760 3804818816 4756023520 7609637632 9512047040 15219275264 19024094080 38048188160 76096376320