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5813481408 = 263715727551
BaseRepresentation
bin1010110101000001…
…01010111111000000
3120000011002110021020
411122200222333000
543401222401113
62400511025440
7264030530250
oct53240527700
916004073236
105813481408
112513616699
121162b0b280
13718551b37
143d2139960
15240593023
hex15a82afc0

5813481408 has 112 divisors (see below), whose sum is σ = 17691469824. Its totient is φ = 1650355200.

The previous prime is 5813481407. The next prime is 5813481409. The reversal of 5813481408 is 8041843185.

It is an interprime number because it is at equal distance from previous prime (5813481407) and next prime (5813481409).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 5813481408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813481407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197233 + ... + 224783.

It is an arithmetic number, because the mean of its divisors is an integer number (157959552).

Almost surely, 25813481408 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 5813481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845734912).

5813481408 is an abundant number, since it is smaller than the sum of its proper divisors (11877988416).

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

5813481408 is a wasteful number, since it uses less digits than its factorization.

5813481408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27730 (or 27720 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 5813481408 is about 76246.1894654415. The cubic root of 5813481408 is about 1798.0927749380.

The spelling of 5813481408 in words is "five billion, eight hundred thirteen million, four hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 157 168 192 224 314 336 448 471 628 672 942 1099 1256 1344 1884 2198 2512 3297 3768 4396 5024 6594 7536 8792 10048 13188 15072 17584 26376 27551 30144 35168 52752 55102 70336 82653 105504 110204 165306 192857 211008 220408 330612 385714 440816 578571 661224 771428 881632 1157142 1322448 1542856 1763264 2314284 2644896 3085712 4325507 4628568 5289792 6171424 8651014 9257136 12342848 12976521 17302028 18514272 25953042 30278549 34604056 37028544 51906084 60557098 69208112 90835647 103812168 121114196 138416224 181671294 207624336 242228392 276832448 363342588 415248672 484456784 726685176 830497344 968913568 1453370352 1937827136 2906740704 5813481408