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172057630321476 = 2232612358392
BaseRepresentation
bin100111000111110001001001…
…111011111010101101000100
3211120012112211002101210222100
4213013301021323322231010
5140022443011330241401
61405534103441032100
751145516322022324
oct4707611173725504
9746175732353870
10172057630321476
114a90625a868639
1217369b08325630
137500c70c10943
14306b8c2db1284
1514d593195db86
hex9c7c49efab44

172057630321476 has 81 divisors (see below), whose sum is σ = 442182568633533. Its totient is φ = 56410763761440.

The previous prime is 172057630321457. The next prime is 172057630321477. The reversal of 172057630321476 is 674123036750271.

The square root of 172057630321476 is 13117074.

It is a perfect power (a square), and thus also a powerful number.

172057630321476 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 57 + 6 + 303 + 214 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5594994159876 + 166462636161600 = 2365374^2 + 12902040^2 .

It is not an unprimeable number, because it can be changed into a prime (172057630321477) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4800831165 + ... + 4800867003.

Almost surely, 2172057630321476 is an apocalyptic number.

172057630321476 is the 13117074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172057630321476

172057630321476 is an abundant number, since it is smaller than the sum of its proper divisors (270124938312057).

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

172057630321476 is an frugal number, since it uses more digits than its factorization.

172057630321476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71810 (or 35905 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 172057630321476 in words is "one hundred seventy-two trillion, fifty-seven billion, six hundred thirty million, three hundred twenty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 3721 7442 11163 14884 22326 33489 35839 44652 66978 71678 107517 133956 143356 215034 322551 430068 645102 1290204 2186179 4372358 6558537 8744716 13117074 19675611 26234148 39351222 78702444 133356919 266713838 400070757 533427676 800141514 1200212271 1284433921 1600283028 2400424542 2568867842 3853301763 4800849084 5137735684 7706603526 11559905289 15413207052 23119810578 46239621156 78350469181 156700938362 235051407543 313401876724 470102815086 705154222629 940205630172 1410308445258 2820616890516 4779378620041 9558757240082 14338135860123 19117514480164 28676271720246 43014407580369 57352543440492 86028815160738 172057630321476