Search a number
-
+
56057710016 = 2671122814987
BaseRepresentation
bin110100001101010011…
…001100010111000000
312100200202110201120002
4310031103030113000
51404301233210031
641430315135132
74023106446620
oct641523142700
9170622421502
1056057710016
1121857130270
12aa457444a8
135394a93319
1429db082880
1516d15cbccb
hexd0d4cc5c0

56057710016 has 112 divisors (see below), whose sum is σ = 138776854272. Its totient is φ = 21826713600.

The previous prime is 56057709989. The next prime is 56057710019. The reversal of 56057710016 is 61001775065.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56057710019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11238275 + ... + 11243261.

It is an arithmetic number, because the mean of its divisors is an integer number (1239079056).

Almost surely, 256057710016 is an apocalyptic number.

56057710016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56057710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69388427136).

56057710016 is an abundant number, since it is smaller than the sum of its proper divisors (82719144256).

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

56057710016 is a wasteful number, since it uses less digits than its factorization.

56057710016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The spelling of 56057710016 in words is "fifty-six billion, fifty-seven million, seven hundred ten thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2281 2464 4562 4928 4987 9124 9974 15967 18248 19948 25091 31934 34909 36496 39896 50182 54857 63868 69818 72992 79792 100364 109714 127736 139636 145984 159584 175637 200728 219428 255472 279272 319168 351274 383999 401456 438856 510944 558544 702548 767998 802912 877712 1021888 1117088 1405096 1535996 1605824 1755424 2234176 2810192 3071992 3510848 5620384 6143984 11240768 11375347 12287968 22750694 24575936 45501388 79627429 91002776 125128817 159254858 182005552 250257634 318509716 364011104 500515268 637019432 728022208 875901719 1001030536 1274038864 1751803438 2002061072 2548077728 3503606876 4004122144 5096155456 7007213752 8008244288 14014427504 28028855008 56057710016