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172131474736 = 24134330376337
BaseRepresentation
bin1010000001001111010…
…1011101110100110000
3121110022010201220210001
42200103311131310300
510310011124142421
6211024234515344
715302402252134
oct2402365356460
9543263656701
10172131474736
1167000803741
122943a595b54
1313302715240
14848cb973c4
154726a2d691
hex2813d5dd30

172131474736 has 80 divisors (see below), whose sum is σ = 367690501024. Its totient is φ = 77559939072.

The previous prime is 172131474721. The next prime is 172131474737. The reversal of 172131474736 is 637474131271.

It is not an unprimeable number, because it can be changed into a prime (172131474737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27159760 + ... + 27166096.

Almost surely, 2172131474736 is an apocalyptic number.

172131474736 is a gapful number since it is divisible by the number (16) 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 172131474736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183845250512).

172131474736 is an abundant number, since it is smaller than the sum of its proper divisors (195559026288).

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

172131474736 is a wasteful number, since it uses less digits than its factorization.

172131474736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9438 (or 9432 counting only the distinct ones).

The product of its digits is 592704, while the sum is 46.

The spelling of 172131474736 in words is "one hundred seventy-two billion, one hundred thirty-one million, four hundred seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 1118 2236 3037 4472 6074 6337 8944 12148 12674 24296 25348 39481 48592 50696 78962 82381 101392 130591 157924 164762 261182 272491 315848 329524 522364 544982 631696 659048 1044728 1089964 1318096 1697683 2089456 2179928 3395366 3542383 4359856 6790732 7084766 13581464 14169532 19245469 27162928 28339064 38490938 56678128 76981876 153963752 250191097 307927504 500382194 827555167 1000764388 1655110334 2001528776 3310220668 4003057552 6620441336 10758217171 13240882672 21516434342 43032868684 86065737368 172131474736