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5505812040 = 2335318591723
BaseRepresentation
bin1010010000010110…
…00000011001001000
3112012201011020020110
411020023000121020
542233441441130
62310200354320
7253303426101
oct51013003110
915181136213
105505812040
112375984093
121097a759a0
1369989a261
143a332b3a8
1522356bab0
hex1482c0648

5505812040 has 128 divisors (see below), whose sum is σ = 17080012800. Its totient is φ = 1418376960.

The previous prime is 5505812021. The next prime is 5505812041. The reversal of 5505812040 is 402185055.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5505811989 and 5505812007.

It is not an unprimeable number, because it can be changed into a prime (5505812041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3194619 + ... + 3196341.

It is an arithmetic number, because the mean of its divisors is an integer number (133437600).

Almost surely, 25505812040 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 5505812040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540006400).

5505812040 is an abundant number, since it is smaller than the sum of its proper divisors (11574200760).

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

5505812040 is a wasteful number, since it uses less digits than its factorization.

5505812040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 5505812040 is about 74201.1592901351. The cubic root of 5505812040 is about 1765.7957222822.

Adding to 5505812040 its reverse (402185055), we get a palindrome (5907997095).

The spelling of 5505812040 in words is "five billion, five hundred five million, eight hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 859 930 1240 1718 1723 1860 2577 3436 3446 3720 4295 5154 5169 6872 6892 8590 8615 10308 10338 12885 13784 17180 17230 20616 20676 25770 25845 26629 34360 34460 41352 51540 51690 53258 53413 68920 79887 103080 103380 106516 106826 133145 159774 160239 206760 213032 213652 266290 267065 319548 320478 399435 427304 532580 534130 639096 640956 798870 801195 1065160 1068260 1281912 1480057 1597740 1602390 2136520 2960114 3195480 3204780 4440171 5920228 6409560 7400285 8880342 11840456 14800570 17760684 22200855 29601140 35521368 44401710 45881767 59202280 88803420 91763534 137645301 177606840 183527068 229408835 275290602 367054136 458817670 550581204 688226505 917635340 1101162408 1376453010 1835270680 2752906020 5505812040