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168312171104 = 25711167409033
BaseRepresentation
bin1001110011000000101…
…1111110101001100000
3121002102222001012010222
42130300023332221200
510224200403433404
6205153241542212
715105634564130
oct2346013765140
9532388035128
10168312171104
1165420918360
12287534a4968
1312b4437c66c
14820983cac0
1545a159cdbe
hex27302fea60

168312171104 has 96 divisors (see below), whose sum is σ = 415604722176. Its totient is φ = 65183339520.

The previous prime is 168312171047. The next prime is 168312171113. The reversal of 168312171104 is 401171213861.

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, 206972 + ... + 616004.

It is an arithmetic number, because the mean of its divisors is an integer number (4329215856).

Almost surely, 2168312171104 is an apocalyptic number.

168312171104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168312171104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207802361088).

168312171104 is an abundant number, since it is smaller than the sum of its proper divisors (247292551072).

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

168312171104 is a wasteful number, since it uses less digits than its factorization.

168312171104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409228 (or 409220 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

Adding to 168312171104 its reverse (401171213861), we get a palindrome (569483384965).

The spelling of 168312171104 in words is "one hundred sixty-eight billion, three hundred twelve million, one hundred seventy-one thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 167 176 224 308 334 352 616 668 1169 1232 1336 1837 2338 2464 2672 3674 4676 5344 7348 9352 12859 14696 18704 25718 29392 37408 51436 58784 102872 205744 409033 411488 818066 1636132 2863231 3272264 4499363 5726462 6544528 8998726 11452924 13089056 17997452 22905848 31495541 35994904 45811696 62991082 68308511 71989808 91623392 125982164 136617022 143979616 251964328 273234044 478159577 503928656 546468088 751393621 956319154 1007857312 1092936176 1502787242 1912638308 2185872352 3005574484 3825276616 5259755347 6011148968 7650553232 10519510694 12022297936 15301106464 21039021388 24044595872 42078042776 84156085552 168312171104