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5408353656 = 23321015631321
BaseRepresentation
bin1010000100101110…
…01110110101111000
3111221220202211110200
411002113032311320
542034014304111
62252355442200
7251011150626
oct50227166570
914856684420
105408353656
112325969172
12106b2b6360
13682636584
143943dc516
15219c1a256
hex1425ced78

5408353656 has 96 divisors (see below), whose sum is σ = 14830143120. Its totient is φ = 1780416000.

The previous prime is 5408353519. The next prime is 5408353669. The reversal of 5408353656 is 6563538045.

5408353656 is a `hidden beast` number, since 540 + 8 + 3 + 53 + 6 + 56 = 666.

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 23 ways as a sum of consecutive naturals, for example, 4093476 + ... + 4094796.

Almost surely, 25408353656 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 5408353656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415071560).

5408353656 is an abundant number, since it is smaller than the sum of its proper divisors (9421789464).

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

5408353656 is a wasteful number, since it uses less digits than its factorization.

5408353656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 5408353656 is about 73541.5097478968. The cubic root of 5408353656 is about 1755.3148523187.

The spelling of 5408353656 in words is "five billion, four hundred eight million, three hundred fifty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 563 606 808 909 1126 1212 1321 1689 1818 2252 2424 2642 3378 3636 3963 4504 5067 5284 6756 7272 7926 10134 10568 11889 13512 15852 20268 23778 31704 40536 47556 56863 95112 113726 133421 170589 227452 266842 341178 400263 454904 511767 533684 682356 743723 800526 1023534 1067368 1200789 1364712 1487446 1601052 2047068 2231169 2401578 2974892 3202104 4094136 4462338 4803156 5949784 6693507 8924676 9606312 13387014 17849352 26774028 53548056 75116023 150232046 225348069 300464092 450696138 600928184 676044207 901392276 1352088414 1802784552 2704176828 5408353656