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19560905056 = 2572111676791
BaseRepresentation
bin10010001101111010…
…111011100101100000
31212111020021221020001
4102031322323211200
5310030042430211
612553002025344
71261510643500
oct221572734540
955436257201
1019560905056
118328691540
12395aaa8254
131ac9728744
14d37c65a00
15797433ac1
hex48debb960

19560905056 has 144 divisors (see below), whose sum is σ = 49170385152. Its totient is φ = 7574380800.

The previous prime is 19560905053. The next prime is 19560905057. The reversal of 19560905056 is 65050906591.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19560904997 and 19560905015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19560905051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2877021 + ... + 2883811.

It is an arithmetic number, because the mean of its divisors is an integer number (341461008).

Almost surely, 219560905056 is an apocalyptic number.

19560905056 is a gapful number since it is divisible by the number (16) 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 19560905056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24585192576).

19560905056 is an abundant number, since it is smaller than the sum of its proper divisors (29609480096).

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

19560905056 is a wasteful number, since it uses less digits than its factorization.

19560905056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 46.

The spelling of 19560905056 in words is "nineteen billion, five hundred sixty million, nine hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 167 176 196 224 308 334 352 392 539 616 668 784 1078 1169 1232 1336 1568 1837 2156 2338 2464 2672 3674 4312 4676 5344 6791 7348 8183 8624 9352 12859 13582 14696 16366 17248 18704 25718 27164 29392 32732 37408 47537 51436 54328 58784 65464 74701 90013 95074 102872 108656 130928 149402 180026 190148 205744 217312 261856 298804 332759 360052 380296 411488 522907 597608 665518 720104 760592 1045814 1134097 1195216 1331036 1440208 1521184 2091628 2268194 2390432 2662072 2880416 3660349 4183256 4536388 5324144 7320698 7938679 8366512 9072776 10648288 12475067 14641396 15877358 16733024 18145552 24950134 29282792 31754716 36291104 49900268 55570753 58565584 63509432 87325469 99800536 111141506 117131168 127018864 174650938 199601072 222283012 254037728 349301876 399202144 444566024 611278283 698603752 889132048 1222556566 1397207504 1778264096 2445113132 2794415008 4890226264 9780452528 19560905056