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5465930800 = 2452114726431
BaseRepresentation
bin1010001011100101…
…10111110000110000
3112002221010001110111
411011302313300300
542143234241200
62302213511104
7252310434211
oct50562676060
915087101414
105465930800
112355414790
121086642494
136915457a5
1439bd09408
1521ece00ba
hex145cb7c30

5465930800 has 120 divisors (see below), whose sum is σ = 14631063552. Its totient is φ = 1945248000.

The previous prime is 5465930779. The next prime is 5465930801. The reversal of 5465930800 is 80395645.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5465930801) 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, 193585 + ... + 220015.

Almost surely, 25465930800 is an apocalyptic number.

5465930800 is a gapful number since it is divisible by the number (50) 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 5465930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315531776).

5465930800 is an abundant number, since it is smaller than the sum of its proper divisors (9165132752).

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

5465930800 is a wasteful number, since it uses less digits than its factorization.

5465930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26507 (or 26496 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 5465930800 is about 73931.9335605393. The cubic root of 5465930800 is about 1761.5218843941.

The spelling of 5465930800 in words is "five billion, four hundred sixty-five million, nine hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 176 188 200 220 235 275 376 400 440 470 517 550 752 880 940 1034 1100 1175 1880 2068 2200 2350 2585 3760 4136 4400 4700 5170 8272 9400 10340 12925 18800 20680 25850 26431 41360 51700 52862 103400 105724 132155 206800 211448 264310 290741 422896 528620 581482 660775 1057240 1162964 1242257 1321550 1453705 2114480 2325928 2484514 2643100 2907410 4651856 4969028 5286200 5814820 6211285 7268525 9938056 10572400 11629640 12422570 13664827 14537050 19876112 23259280 24845140 27329654 29074100 31056425 49690280 54659308 58148200 62112850 68324135 99380560 109318616 116296400 124225700 136648270 218637232 248451400 273296540 341620675 496902800 546593080 683241350 1093186160 1366482700 2732965400 5465930800