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2172221701716 = 22311223156747093
BaseRepresentation
bin11111100111000010100…
…000001011111001010100
321200122212212100202220010
4133213002200023321110
5241042202223423331
64341523241440220
7312636451546503
oct37470240137124
97618785322803
102172221701716
11768263580380
122b0ba87a0070
13129abb87a951
14771c961283a
153b7878cee46
hex1f9c280be54

2172221701716 has 96 divisors (see below), whose sum is σ = 5557749055488. Its totient is φ = 654865119360.

The previous prime is 2172221701673. The next prime is 2172221701729. The reversal of 2172221701716 is 6171071222712.

It is a happy number.

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, 46102666 + ... + 46149758.

It is an arithmetic number, because the mean of its divisors is an integer number (57893219328).

Almost surely, 22172221701716 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 2172221701716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778874527744).

2172221701716 is an abundant number, since it is smaller than the sum of its proper divisors (3385527353772).

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

2172221701716 is a wasteful number, since it uses less digits than its factorization.

2172221701716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48901 (or 48899 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The spelling of 2172221701716 in words is "two trillion, one hundred seventy-two billion, two hundred twenty-one million, seven hundred one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 892 1338 1567 2453 2676 3134 4701 4906 6268 7359 9402 9812 14718 17237 18804 29436 34474 47093 51711 68948 94186 103422 141279 188372 206844 282558 349441 518023 565116 698882 1036046 1048323 1397764 1554069 2072092 2096646 3108138 3843851 4193292 6216276 7687702 10501739 11531553 15375404 21003478 23063106 31505217 42006956 46126212 63010434 73794731 115519129 126020868 147589462 221384193 231038258 295178924 346557387 442768386 462076516 693114774 811742041 885536772 1386229548 1623484082 2435226123 3246968164 4870452246 9740904492 16456225013 32912450026 49368675039 65824900052 98737350078 181018475143 197474700156 362036950286 543055425429 724073900572 1086110850858 2172221701716