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5269077648 = 2433173719391
BaseRepresentation
bin1001110100000111…
…11011111010010000
3111121012200212201000
410322003323322100
541242340441043
62230502342000
7244400264262
oct47203737220
914535625630
105269077648
11226429102a
12103072a900
1365c820933
1437db05b32
1520c8a82d3
hex13a0fbe90

5269077648 has 160 divisors (see below), whose sum is σ = 16447518720. Its totient is φ = 1608284160.

The previous prime is 5269077647. The next prime is 5269077679. The reversal of 5269077648 is 8467709625.

5269077648 is a `hidden beast` number, since 526 + 9 + 0 + 7 + 76 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5269077594 and 5269077603.

It is not an unprimeable number, because it can be changed into a prime (5269077641) by changing a digit.

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, 262033 + ... + 281423.

It is an arithmetic number, because the mean of its divisors is an integer number (102796992).

Almost surely, 25269077648 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 5269077648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223759360).

5269077648 is an abundant number, since it is smaller than the sum of its proper divisors (11178441072).

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

5269077648 is a wasteful number, since it uses less digits than its factorization.

5269077648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19462 (or 19450 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 5269077648 is about 72588.4126290140. The cubic root of 5269077648 is about 1740.1159970231.

The spelling of 5269077648 in words is "five billion, two hundred sixty-nine million, seventy-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 37 48 51 54 68 72 74 102 108 111 136 144 148 153 204 216 222 272 296 306 333 408 432 444 459 592 612 629 666 816 888 918 999 1224 1258 1332 1776 1836 1887 1998 2448 2516 2664 3672 3774 3996 5032 5328 5661 7344 7548 7992 10064 11322 15096 15984 16983 19391 22644 30192 33966 38782 45288 58173 67932 77564 90576 116346 135864 155128 174519 232692 271728 310256 329647 349038 465384 523557 659294 698076 717467 930768 988941 1047114 1318588 1396152 1434934 1977882 2094228 2152401 2637176 2792304 2869868 2966823 3955764 4188456 4304802 5274352 5739736 5933646 6457203 7911528 8376912 8609604 8900469 11479472 11867292 12196939 12914406 15823056 17219208 17800938 19371609 23734584 24393878 25828812 34438416 35601876 36590817 38743218 47469168 48787756 51657624 71203752 73181634 77486436 97575512 103315248 109772451 142407504 146363268 154972872 195151024 219544902 292726536 309945744 329317353 439089804 585453072 658634706 878179608 1317269412 1756359216 2634538824 5269077648