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5553350040 = 233577019431
BaseRepresentation
bin1010010110000000…
…10110010110011000
3112100000121102010010
411023000112112120
542333124200130
62315015321520
7254421460620
oct51300262630
915300542103
105553350040
11239a7a3097
1210ab9802a0
136a66a2b54
143a9783880
1522780c0b0
hex14b016598

5553350040 has 128 divisors (see below), whose sum is σ = 19069240320. Its totient is φ = 1267392000.

The previous prime is 5553350027. The next prime is 5553350053. The reversal of 5553350040 is 400533555.

It is an interprime number because it is at equal distance from previous prime (5553350027) and next prime (5553350053).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 584125 + ... + 593555.

It is an arithmetic number, because the mean of its divisors is an integer number (148978440).

Almost surely, 25553350040 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 5553350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534620160).

5553350040 is an abundant number, since it is smaller than the sum of its proper divisors (13515890280).

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

5553350040 is a wasteful number, since it uses less digits than its factorization.

5553350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 5553350040 is about 74520.8027331966. The cubic root of 5553350040 is about 1770.8632132825.

Adding to 5553350040 its reverse (400533555), we get a palindrome (5953883595).

The spelling of 5553350040 in words is "five billion, five hundred fifty-three million, three hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 701 840 1402 2103 2804 3505 4206 4907 5608 7010 8412 9431 9814 10515 14020 14721 16824 18862 19628 21030 24535 28040 28293 29442 37724 39256 42060 47155 49070 56586 58884 66017 73605 75448 84120 94310 98140 113172 117768 132034 141465 147210 188620 196280 198051 226344 264068 282930 294420 330085 377240 396102 528136 565860 588840 660170 792204 990255 1131720 1320340 1584408 1980510 2640680 3961020 6611131 7922040 13222262 19833393 26444524 33055655 39666786 46277917 52889048 66111310 79333572 92555834 99166965 132222620 138833751 158667144 185111668 198333930 231389585 264445240 277667502 370223336 396667860 462779170 555335004 694168755 793335720 925558340 1110670008 1388337510 1851116680 2776675020 5553350040