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4855031136 = 25353491789
BaseRepresentation
bin1001000010110000…
…11110010101100000
3110112100121010200000
410201120132111200
534420341444021
62121432100000
7231212040504
oct44130362540
913470533600
104855031136
1120715a182a
12b35b34600
135c4b019b7
14340b26304
151d636cb26
hex12161e560

4855031136 has 144 divisors (see below), whose sum is σ = 14366898000. Its totient is φ = 1612804608.

The previous prime is 4855031131. The next prime is 4855031147. The reversal of 4855031136 is 6311305584.

4855031136 is a `hidden beast` number, since 48 + 550 + 31 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4855031136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4855031131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2712930 + ... + 2714718.

It is an arithmetic number, because the mean of its divisors is an integer number (99770125).

Almost surely, 24855031136 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 4855031136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183449000).

4855031136 is an abundant number, since it is smaller than the sum of its proper divisors (9511866864).

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

4855031136 is a wasteful number, since it uses less digits than its factorization.

4855031136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4855031136 is about 69678.0534745339. The cubic root of 4855031136 is about 1693.2873859992.

The spelling of 4855031136 in words is "four billion, eight hundred fifty-five million, thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 349 432 486 648 698 864 972 1047 1296 1396 1789 1944 2094 2592 2792 3141 3578 3888 4188 5367 5584 6282 7156 7776 8376 9423 10734 11168 12564 14312 16101 16752 18846 21468 25128 28269 28624 32202 33504 37692 42936 48303 50256 56538 57248 64404 75384 84807 85872 96606 100512 113076 128808 144909 150768 169614 171744 193212 226152 257616 289818 301536 339228 386424 434727 452304 515232 579636 624361 678456 772848 869454 904608 1159272 1248722 1356912 1545696 1738908 1873083 2318544 2497444 2713824 3477816 3746166 4637088 4994888 5619249 6955632 7492332 9989776 11238498 13911264 14984664 16857747 19979552 22476996 29969328 33715494 44953992 50573241 59938656 67430988 89907984 101146482 134861976 151719723 179815968 202292964 269723952 303439446 404585928 539447904 606878892 809171856 1213757784 1618343712 2427515568 4855031136