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5362783680 = 263513142643
BaseRepresentation
bin1001111111010010…
…11001010111000000
3111211202000122012210
410333221121113000
541440333034210
62244051022120
7246615623562
oct47751312700
914752018183
105362783680
112302173831
121057b9a940
1367606c6a7
1438c339332
15215c17e20
hex13fa595c0

5362783680 has 112 divisors (see below), whose sum is σ = 17157216384. Its totient is φ = 1419125760.

The previous prime is 5362783667. The next prime is 5362783697. The reversal of 5362783680 is 863872635.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 104439 + ... + 147081.

It is an arithmetic number, because the mean of its divisors is an integer number (153189432).

Almost surely, 25362783680 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 5362783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578608192).

5362783680 is an abundant number, since it is smaller than the sum of its proper divisors (11794432704).

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

5362783680 is a wasteful number, since it uses less digits than its factorization.

5362783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42794 (or 42784 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 5362783680 is about 73231.0294888717. The cubic root of 5362783680 is about 1750.3709341595.

The spelling of 5362783680 in words is "five billion, three hundred sixty-two million, seven hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 10480 12576 15720 20960 25152 31440 41920 42643 62880 85286 125760 127929 170572 213215 255858 341144 426430 511716 639645 682288 852860 1023432 1279290 1364576 1705720 2046864 2558580 2729152 3411440 4093728 5117160 5586233 6822880 8187456 10234320 11172466 13645760 16758699 20468640 22344932 27931165 33517398 40937280 44689864 55862330 67034796 83793495 89379728 111724660 134069592 167586990 178759456 223449320 268139184 335173980 357518912 446898640 536278368 670347960 893797280 1072556736 1340695920 1787594560 2681391840 5362783680