Search a number
-
+
671714350272 = 26327223799403
BaseRepresentation
bin10011100011001010100…
…10111001010011000000
32101012210221001111211100
421301211102321103000
542001132333202042
61232325321414400
766346464525300
oct11614522712300
92335727044740
10671714350272
1123996626a379
12aa22393a400
134b45b3070b4
1424722839600
1512715c1924c
hex9c654b94c0

671714350272 has 126 divisors (see below), whose sum is σ = 2239690512228. Its totient is φ = 191918377728.

The previous prime is 671714350271. The next prime is 671714350277. The reversal of 671714350272 is 272053417176.

671714350272 is a `hidden beast` number, since 6 + 7 + 1 + 71 + 4 + 3 + 502 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×6717143502722 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (671714350271) 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 17 ways as a sum of consecutive naturals, for example, 11871478 + ... + 11927925.

Almost surely, 2671714350272 is an apocalyptic number.

It is an amenable number.

671714350272 is an abundant number, since it is smaller than the sum of its proper divisors (1567976161956).

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

671714350272 is a wasteful number, since it uses less digits than its factorization.

671714350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23799435 (or 23799415 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 671714350272 in words is "six hundred seventy-one billion, seven hundred fourteen million, three hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 23799403 47598806 71398209 95197612 142796418 166595821 190395224 214194627 285592836 333191642 380790448 428389254 499787463 571185672 666383284 761580896 856778508 999574926 1142371344 1166170747 1332766568 1499362389 1523161792 1713557016 1999149852 2284742688 2332341494 2665533136 2998724778 3427114032 3498512241 3998299704 4569485376 4664682988 5331066272 5997449556 6854228064 6997024482 7996599408 9329365976 10495536723 10662132544 11994899112 13708456128 13994048964 15993198816 18658731952 20991073446 23989798224 27988097928 31986397632 37317463904 41982146892 47979596448 55976195856 74634927808 83964293784 95959192896 111952391712 167928587568 223904783424 335857175136 671714350272