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4991505336 = 2333173223599
BaseRepresentation
bin1001010011000010…
…00101001110111000
3110212212101202002000
410221201011032320
540210311132321
62143145141000
7234460044456
oct45141051670
913785352060
104991505336
112131635924
12b7378a760
1361717626c
14354ccd9d6
151e3329826
hex1298453b8

4991505336 has 128 divisors (see below), whose sum is σ = 14031360000. Its totient is φ = 1644050304.

The previous prime is 4991505263. The next prime is 4991505347. The reversal of 4991505336 is 6335051994.

4991505336 is a `hidden beast` number, since 499 + 150 + 5 + 3 + 3 + 6 = 666.

It is a super-3 number, since 3×49915053363 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4991505291 and 4991505300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8332765 + ... + 8333363.

It is an arithmetic number, because the mean of its divisors is an integer number (109620000).

Almost surely, 24991505336 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 4991505336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015680000).

4991505336 is an abundant number, since it is smaller than the sum of its proper divisors (9039854664).

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

4991505336 is a wasteful number, since it uses less digits than its factorization.

4991505336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 4991505336 is about 70650.5862396060. The cubic root of 4991505336 is about 1709.0070196811.

The spelling of 4991505336 in words is "four billion, nine hundred ninety-one million, five hundred five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 223 346 446 519 599 669 692 892 1038 1198 1338 1384 1557 1784 1797 2007 2076 2396 2676 3114 3594 4014 4152 4671 4792 5352 5391 6021 6228 7188 8028 9342 10782 12042 12456 14376 16056 16173 18684 21564 24084 32346 37368 38579 43128 48168 64692 77158 103627 115737 129384 133577 154316 207254 231474 267154 308632 310881 347211 400731 414508 462948 534308 621762 694422 801462 829016 925896 932643 1041633 1068616 1202193 1243524 1388844 1602924 1865286 2083266 2404386 2487048 2777688 2797929 3205848 3606579 3730572 4166532 4808772 5595858 7213158 7461144 8333064 9617544 11191716 14426316 22383432 23108821 28852632 46217642 69326463 92435284 138652926 184870568 207979389 277305852 415958778 554611704 623938167 831917556 1247876334 1663835112 2495752668 4991505336