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85423040976 = 24371325797583
BaseRepresentation
bin100111110001110011…
…1000010100111010000
322011111021112002200110
41033203213002213100
52344421244302401
6103124240121320
76112601603460
oct1174347024720
9264437462613
1085423040976
1133256097029
1214680006240
1380948115c0
1441c50bbba0
15234e63a9d6
hex13e39c29d0

85423040976 has 160 divisors (see below), whose sum is σ = 271742607360. Its totient is φ = 22517448192.

The previous prime is 85423040951. The next prime is 85423041001. The reversal of 85423040976 is 67904032458.

It is an interprime number because it is at equal distance from previous prime (85423040951) and next prime (85423041001).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11261281 + ... + 11268863.

It is an arithmetic number, because the mean of its divisors is an integer number (1698391296).

Almost surely, 285423040976 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 85423040976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135871303680).

85423040976 is an abundant number, since it is smaller than the sum of its proper divisors (186319566384).

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

85423040976 is a wasteful number, since it uses less digits than its factorization.

85423040976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10193 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 85423040976 in words is "eighty-five billion, four hundred twenty-three million, forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 2579 4368 5158 7583 7737 10316 15166 15474 18053 20632 22749 30332 30948 33527 36106 41264 45498 53081 54159 60664 61896 67054 72212 90996 98579 100581 106162 108318 121328 123792 134108 144424 159243 181992 197158 201162 212324 216636 234689 268216 288848 295737 318486 363984 394316 402324 424648 433272 469378 536432 591474 636972 690053 704067 788632 804648 849296 866544 938756 1182948 1273944 1380106 1408134 1577264 1609296 1877512 2070159 2365896 2547888 2760212 2816268 3755024 4140318 4731792 5520424 5632536 8280636 11040848 11265072 16561272 19556557 33122544 39113114 58669671 78226228 117339342 136895899 156452456 234678684 254235241 273791798 312904912 410687697 469357368 508470482 547583596 762705723 821375394 938714736 1016940964 1095167192 1525411446 1642750788 1779646687 2033881928 2190334384 3050822892 3285501576 3559293374 4067763856 5338940061 6101645784 6571003152 7118586748 10677880122 12203291568 14237173496 21355760244 28474346992 42711520488 85423040976