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172146726664 = 231143477113633
BaseRepresentation
bin1010000001010010111…
…1101001011100001000
3121110100012102210111021
42200110233221130020
510310024030223124
6211025541442224
715302646014323
oct2402457513410
9543305383437
10172146726664
1167009380740
1229443710374
1313305925453
148490c077ba
1547280427e4
hex2814be9708

172146726664 has 128 divisors (see below), whose sum is σ = 373183303680. Its totient is φ = 73743667200.

The previous prime is 172146726659. The next prime is 172146726671. The reversal of 172146726664 is 466627641271.

It is a super-2 number, since 2×1721467266642 (a number of 23 digits) contains 22 as substring.

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, 12620392 + ... + 12634024.

It is an arithmetic number, because the mean of its divisors is an integer number (2915494560).

Almost surely, 2172146726664 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 172146726664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186591651840).

172146726664 is an abundant number, since it is smaller than the sum of its proper divisors (201036577016).

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

172146726664 is a wasteful number, since it uses less digits than its factorization.

172146726664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13811 (or 13807 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The spelling of 172146726664 in words is "one hundred seventy-two billion, one hundred forty-six million, seven hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 43 44 47 71 86 88 94 142 172 188 284 344 376 473 517 568 781 946 1034 1562 1892 2021 2068 3053 3124 3337 3784 4042 4136 6106 6248 6674 8084 12212 13348 13633 16168 22231 24424 26696 27266 33583 36707 44462 54532 67166 73414 88924 109064 134332 143491 146828 149963 177848 268664 286982 293656 299926 573964 586219 599852 640751 967943 1147928 1172438 1199704 1281502 1578401 1935886 2344876 2563004 3156802 3871772 4689752 5126008 6313604 6448409 7048261 7743544 10647373 12627208 12896818 14096522 21294746 25793636 27552293 28193044 41621549 42589492 45493321 51587272 55104586 56386088 83243098 85178984 90986642 110209172 166486196 181973284 220418344 303075223 332972392 363946568 457837039 500426531 606150446 915674078 1000853062 1212300892 1831348156 1956212803 2001706124 2424601784 3662696312 3912425606 4003412248 7824851212 15649702424 21518340833 43036681666 86073363332 172146726664