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4981315536 = 243373315731
BaseRepresentation
bin1001010001110100…
…01101011111010000
3110212011020001022000
410220322031133100
540200204044121
62142142514000
7234304324551
oct45072153720
913764201260
104981315536
1121269060aa
12b70295900
136150191b2
143537da328
151e24b5526
hex128e8d7d0

4981315536 has 80 divisors (see below), whose sum is σ = 14318637120. Its totient is φ = 1658067840.

The previous prime is 4981315523. The next prime is 4981315553. The reversal of 4981315536 is 6355131894.

4981315536 is a `hidden beast` number, since 4 + 9 + 81 + 31 + 5 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4981315491 and 4981315500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308791 + ... + 324521.

It is an arithmetic number, because the mean of its divisors is an integer number (178982964).

Almost surely, 24981315536 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 4981315536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159318560).

4981315536 is an abundant number, since it is smaller than the sum of its proper divisors (9337321584).

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

4981315536 is a wasteful number, since it uses less digits than its factorization.

4981315536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16481 (or 16469 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 4981315536 is about 70578.4353467828. The cubic root of 4981315536 is about 1707.8432890278.

The spelling of 4981315536 in words is "four billion, nine hundred eighty-one million, three hundred fifteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 733 1466 2199 2932 4398 5864 6597 8796 11728 13194 15731 17592 19791 26388 31462 35184 39582 47193 52776 62924 79164 94386 105552 125848 141579 158328 188772 251696 283158 316656 377544 424737 566316 755088 849474 1132632 1698948 2265264 3397896 6795792 11530823 23061646 34592469 46123292 69184938 92246584 103777407 138369876 184493168 207554814 276739752 311332221 415109628 553479504 622664442 830219256 1245328884 1660438512 2490657768 4981315536