Search a number
-
+
20588030848 = 277112390821
BaseRepresentation
bin10011001011001001…
…000110101110000000
31222010211000022221001
4103023021012232000
5314131013441343
613242532541344
71326122242360
oct231311065600
958124008831
1020588030848
118805452330
123ba6a81854
131c31472598
14dd44349a0
158076c244d
hex4cb246b80

20588030848 has 128 divisors (see below), whose sum is σ = 53359741440. Its totient is φ = 7672473600.

The previous prime is 20588030809. The next prime is 20588030857. The reversal of 20588030848 is 84803088502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 20588030798 and 20588030807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181278 + ... + 272098.

It is an arithmetic number, because the mean of its divisors is an integer number (416872980).

Almost surely, 220588030848 is an apocalyptic number.

20588030848 is a gapful number since it is divisible by the number (28) 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 20588030848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26679870720).

20588030848 is an abundant number, since it is smaller than the sum of its proper divisors (32771710592).

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

20588030848 is a wasteful number, since it uses less digits than its factorization.

20588030848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90876 (or 90864 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 20588030848 in words is "twenty billion, five hundred eighty-eight million, thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 128 154 161 176 184 224 253 308 322 352 368 448 506 616 644 704 736 896 1012 1232 1288 1408 1472 1771 2024 2464 2576 2944 3542 4048 4928 5152 7084 8096 9856 10304 14168 16192 20608 28336 32384 56672 90821 113344 181642 226688 363284 635747 726568 999031 1271494 1453136 1998062 2088883 2542988 2906272 3996124 4177766 5085976 5812544 6993217 7992248 8355532 10171952 11625088 13986434 14622181 15984496 16711064 20343904 22977713 27972868 29244362 31968992 33422128 40687808 45955426 55945736 58488724 63937984 66844256 81375616 91910852 111891472 116977448 127875968 133688512 160843991 183821704 223782944 233954896 267377024 321687982 367643408 447565888 467909792 643375964 735286816 895131776 935819584 1286751928 1470573632 1871639168 2573503856 2941147264 5147007712 10294015424 20588030848