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170516140096 = 267127272
BaseRepresentation
bin1001111011001110001…
…1011101000001000000
3121022010120012102020011
42132303203131001000
510243204112440341
6210200052354304
715214356163531
oct2366343350100
9538116172204
10170516140096
1166351a08935
1229069615994
1313105b70723
148378430688
15467ed00b81
hex27b38dd040

170516140096 has 63 divisors (see below), whose sum is σ = 343673562207. Its totient is φ = 83941630080.

The previous prime is 170516140061. The next prime is 170516140097. The reversal of 170516140096 is 690041615071.

The square root of 170516140096 is 412936.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (170516140097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 234547285 + ... + 234548011.

Almost surely, 2170516140096 is an apocalyptic number.

170516140096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

170516140096 is the 412936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170516140096

170516140096 is an abundant number, since it is smaller than the sum of its proper divisors (173157422111).

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

170516140096 is an frugal number, since it uses more digits than its factorization.

170516140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 170516140096 in words is "one hundred seventy billion, five hundred sixteen million, one hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 727 1136 1454 2272 2908 4544 5041 5816 10082 11632 20164 23264 40328 46528 51617 80656 103234 161312 206468 322624 412936 528529 825872 1057058 1651744 2114116 3303488 3664807 4228232 7329614 8456464 14659228 16912928 29318456 33825856 37525559 58636912 75051118 117273824 150102236 234547648 300204472 600408944 1200817888 2401635776 2664314689 5328629378 10657258756 21314517512 42629035024 85258070048 170516140096