Search a number
-
+
57746410008 = 23373759157457
BaseRepresentation
bin110101110001111101…
…000100101000011000
312112001110001120110020
4311301331010220120
51421231040110013
642310041550440
74113003246330
oct656175045030
9175043046406
1057746410008
11225433855a1
12b2371a5420
1355a38b43a1
142b1b4660c0
15177e99c623
hexd71f44a18

57746410008 has 128 divisors (see below), whose sum is σ = 172322035200. Its totient is φ = 15780870144.

The previous prime is 57746409997. The next prime is 57746410013. The reversal of 57746410008 is 80001464775.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 288016 + ... + 445472.

It is an arithmetic number, because the mean of its divisors is an integer number (1346265900).

Almost surely, 257746410008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57746410008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86161017600).

57746410008 is an abundant number, since it is smaller than the sum of its proper divisors (114575625192).

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

57746410008 is a wasteful number, since it uses less digits than its factorization.

57746410008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157569 (or 157565 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 57746410008 in words is "fifty-seven billion, seven hundred forty-six million, four hundred ten thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 59 74 84 111 118 148 168 177 222 236 259 296 354 413 444 472 518 708 777 826 888 1036 1239 1416 1554 1652 2072 2183 2478 3108 3304 4366 4956 6216 6549 8732 9912 13098 15281 17464 26196 30562 45843 52392 61124 91686 122248 157457 183372 314914 366744 472371 629828 944742 1102199 1259656 1889484 2204398 3306597 3778968 4408796 5825909 6613194 8817592 9289963 11651818 13226388 17477727 18579926 23303636 26452776 27869889 34955454 37159852 40781363 46607272 55739778 65029741 69910908 74319704 81562726 111479556 122344089 130059482 139821816 163125452 195089223 222959112 244688178 260118964 326250904 343728631 390178446 489376356 520237928 687457262 780356892 978752712 1031185893 1374914524 1560713784 2062371786 2406100417 2749829048 4124743572 4812200834 7218301251 8249487144 9624401668 14436602502 19248803336 28873205004 57746410008