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107180375868875 = 5323374731368491
BaseRepresentation
bin11000010111101011100000…
…001110110000010111001011
3112001111100021200022001002002
4120113223200032300113023
5103022020402210301000
61015541552425101215
731401345426041261
oct3027534016602713
9461440250261062
10107180375868875
1131172a3aa9a531
121003033702780b
1347a60b222881a
141c677b4b26431
15c5d01a6c08d5
hex617ae03b05cb

107180375868875 has 128 divisors (see below), whose sum is σ = 146869010915328. Its totient is φ = 77851103616000.

The previous prime is 107180375868859. The next prime is 107180375868953. The reversal of 107180375868875 is 578868573081701.

It is not a de Polignac number, because 107180375868875 - 24 = 107180375868859 is a prime.

It is a super-2 number, since 2×1071803758688752 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1564848380 + ... + 1564916870.

It is an arithmetic number, because the mean of its divisors is an integer number (1147414147776).

Almost surely, 2107180375868875 is an apocalyptic number.

107180375868875 is a deficient number, since it is larger than the sum of its proper divisors (39688635046453).

107180375868875 is a wasteful number, since it uses less digits than its factorization.

107180375868875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68926 (or 68916 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 74.

The spelling of 107180375868875 in words is "one hundred seven trillion, one hundred eighty billion, three hundred seventy-five million, eight hundred sixty-eight thousand, eight hundred seventy-five".

Divisors: 1 5 23 25 37 47 115 125 185 235 313 575 851 925 1081 1175 1565 1739 2875 4255 4625 5405 5875 7199 7825 8695 11581 14711 21275 27025 35995 39125 39997 43475 57905 68491 73555 106375 135125 179975 199985 217375 266363 289525 338353 342455 367775 544307 899875 999925 1331815 1447625 1575293 1691765 1712275 1838875 2534167 2721535 3219077 4999625 6659075 7876465 8458825 8561375 12519061 12670835 13607675 16095385 21437683 33295375 39382325 42294125 58285841 62595305 63354175 68038375 74038771 80476925 107188415 119105849 196911625 291429205 312976525 316770875 370193855 402384625 493066709 535942075 595529245 793194271 1007571101 1457146025 1564882625 1850969275 2465333545 2679710375 2739434527 2977646225 3965971355 5037855505 7285730125 9254846375 12326667725 13697172635 14888231125 18243468233 19829856775 23174135323 25189277525 37280130737 61633338625 68485863175 91217341165 99149283875 115870676615 125946387625 186400653685 342429315875 456086705825 579353383075 857443006951 932003268425 2280433529125 2896766915375 4287215034755 4660016342125 21436075173775 107180375868875