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5642500608 = 29331912137
BaseRepresentation
bin1010100000101000…
…11011101000000000
3112120020100201201000
411100110123220000
543023440004413
62331522212000
7256553315043
oct52024335000
915506321630
105642500608
112436054248
1211157b4000
136bbcb8274
143b754cc5a
1523056c073
hex15051ba00

5642500608 has 160 divisors (see below), whose sum is σ = 16797496320. Its totient is φ = 1870110720.

The previous prime is 5642500603. The next prime is 5642500631. The reversal of 5642500608 is 8060052465.

5642500608 is a `hidden beast` number, since 5 + 6 + 42 + 5 + 0 + 0 + 608 = 666.

It is a super-2 number, since 2×56425006082 = 63675626222560739328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5642500601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2639316 + ... + 2641452.

It is an arithmetic number, because the mean of its divisors is an integer number (104984352).

Almost surely, 25642500608 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 5642500608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398748160).

5642500608 is an abundant number, since it is smaller than the sum of its proper divisors (11154995712).

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

5642500608 is a wasteful number, since it uses less digits than its factorization.

5642500608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5642500608 is about 75116.5801138470. The cubic root of 5642500608 is about 1780.2891219119.

The spelling of 5642500608 in words is "five billion, six hundred forty-two million, five hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 191 192 216 256 288 382 384 432 512 573 576 764 768 864 1146 1152 1528 1536 1719 1728 2137 2292 2304 3056 3438 3456 4274 4584 4608 5157 6112 6411 6876 6912 8548 9168 10314 12224 12822 13752 13824 17096 18336 19233 20628 24448 25644 27504 34192 36672 38466 41256 48896 51288 55008 57699 68384 73344 76932 82512 97792 102576 110016 115398 136768 146688 153864 165024 205152 220032 230796 273536 293376 307728 330048 408167 410304 440064 461592 547072 615456 660096 816334 820608 880128 923184 1094144 1224501 1230912 1320192 1632668 1641216 1846368 2449002 2461824 2640384 3265336 3282432 3673503 3692736 4898004 4923648 6530672 7347006 7385472 9796008 9847296 11020509 13061344 14694012 14770944 19592016 22041018 26122688 29388024 29541888 39184032 44082036 52245376 58776048 78368064 88164072 104490752 117552096 156736128 176328144 208981504 235104192 313472256 352656288 470208384 626944512 705312576 940416768 1410625152 1880833536 2821250304 5642500608