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5409799834880 = 28573591681817
BaseRepresentation
bin100111010111001000100…
…1100101000110100000000
3201011011122020210200121102
41032232101030220310000
51202113232224204010
615301121105113532
71065562611612260
oct116562114506400
921134566720542
105409799834880
1117a6312a78951
127345570288a8
133031acaa856c
14149b9b2857a0
1595ac4639ba5
hex4eb91328d00

5409799834880 has 144 divisors (see below), whose sum is σ = 14850587485440. Its totient is φ = 1849620873216.

The previous prime is 5409799834877. The next prime is 5409799834889. The reversal of 5409799834880 is 884389979045.

It is a super-2 number, since 2×54097998348802 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5409799834798 and 5409799834807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5409799834889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2375732 + ... + 4057548.

It is an arithmetic number, because the mean of its divisors is an integer number (103129079760).

Almost surely, 25409799834880 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 5409799834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7425293742720).

5409799834880 is an abundant number, since it is smaller than the sum of its proper divisors (9440787650560).

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

5409799834880 is a wasteful number, since it uses less digits than its factorization.

5409799834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682204 (or 1682190 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 74.

The spelling of 5409799834880 in words is "five trillion, four hundred nine billion, seven hundred ninety-nine million, eight hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 359 448 560 640 718 896 1120 1280 1436 1792 1795 2240 2513 2872 3590 4480 5026 5744 7180 8960 10052 11488 12565 14360 20104 22976 25130 28720 40208 45952 50260 57440 80416 91904 100520 114880 160832 201040 229760 321664 402080 459520 643328 804160 1608320 1681817 3216640 3363634 6727268 8409085 11772719 13454536 16818170 23545438 26909072 33636340 47090876 53818144 58863595 67272680 94181752 107636288 117727190 134545360 188363504 215272576 235454380 269090720 376727008 430545152 470908760 538181440 603772303 753454016 941817520 1076362880 1207544606 1506908032 1883635040 2152725760 2415089212 3013816064 3018861515 3767270080 4226406121 4830178424 6037723030 7534540160 8452812242 9660356848 12075446060 15069080320 16905624484 19320713696 21132030605 24150892120 33811248968 38641427392 42264061210 48301784240 67622497936 77282854784 84528122420 96603568480 135244995872 154565709568 169056244840 193207136960 270489991744 338112489680 386414273920 540979983488 676224979360 772828547840 1081959966976 1352449958720 2704899917440 5409799834880