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172030576968 = 23321728267521
BaseRepresentation
bin1010000000110111010…
…0100100100101001000
3121110001002212210001200
42200031310210211020
510304304311430333
6211010232144200
715300035530425
oct2401564444510
9543032783050
10172030576968
1166a59859758
1229410838060
13132b7848c13
14847d610d4c
15471cc4cc13
hex280dd24948

172030576968 has 72 divisors (see below), whose sum is σ = 494935204530. Its totient is φ = 53970370560.

The previous prime is 172030576957. The next prime is 172030577029. The reversal of 172030576968 is 869675030271.

172030576968 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 3 + 0 + 576 + 9 + 68 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 164788907364 + 7241669604 = 405942^2 + 85098^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4112953 + ... + 4154568.

Almost surely, 2172030576968 is an apocalyptic number.

172030576968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

172030576968 is an abundant number, since it is smaller than the sum of its proper divisors (322904627562).

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

172030576968 is a wasteful number, since it uses less digits than its factorization.

172030576968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267567 (or 8267543 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 172030576968 in words is "one hundred seventy-two billion, thirty million, five hundred seventy-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 8267521 16535042 24802563 33070084 49605126 66140168 74407689 99210252 140547857 148815378 198420504 281095714 297630756 421643571 562191428 595261512 843287142 1124382856 1264930713 1686574284 2389313569 2529861426 3373148568 4778627138 5059722852 7167940707 9557254276 10119445704 14335881414 19114508552 21503822121 28671762828 43007644242 57343525656 86015288484 172030576968