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5329504448000 = 2953281296347
BaseRepresentation
bin100110110001101111100…
…1110000010111000000000
3200212111101022212101222122
41031203133032002320000
51144304311114314000
615200201320223412
71060021042233365
oct115433716027000
920774338771878
105329504448000
111775259359287
12720a8830ab68
132c87546cc615
14145d411b846c
159397526e085
hex4d8df382e00

5329504448000 has 160 divisors (see below), whose sum is σ = 13336790863968. Its totient is φ = 2124208128000.

The previous prime is 5329504447979. The next prime is 5329504448003. The reversal of 5329504448000 is 8444059235.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×53295044480002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329504448003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17835827 + ... + 18132173.

Almost surely, 25329504448000 is an apocalyptic number.

5329504448000 is a gapful number since it is divisible by the number (50) 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 5329504448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668395431984).

5329504448000 is an abundant number, since it is smaller than the sum of its proper divisors (8007286415968).

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

5329504448000 is an equidigital number, since it uses as much as digits as its factorization.

5329504448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296661 (or 296635 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 5329504448000 in words is "five trillion, three hundred twenty-nine billion, five hundred four million, four hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 281 320 400 500 512 562 640 800 1000 1124 1280 1405 1600 2000 2248 2560 2810 3200 4000 4496 5620 6400 7025 8000 8992 11240 12800 14050 16000 17984 22480 28100 32000 35125 35968 44960 56200 64000 70250 71936 89920 112400 140500 143872 179840 224800 281000 296347 359680 449600 562000 592694 719360 899200 1124000 1185388 1481735 1798400 2248000 2370776 2963470 3596800 4496000 4741552 5926940 7408675 8992000 9483104 11853880 14817350 17984000 18966208 23707760 29634700 37043375 37932416 47415520 59269400 74086750 75864832 83273507 94831040 118538800 148173500 151729664 166547014 189662080 237077600 296347000 333094028 379324160 416367535 474155200 592694000 666188056 758648320 832735070 948310400 1185388000 1332376112 1665470140 1896620800 2081837675 2370776000 2664752224 3330940280 3793241600 4163675350 4741552000 5329504448 6661880560 8327350700 9483104000 10409188375 10659008896 13323761120 16654701400 18966208000 20818376750 21318017792 26647522240 33309402800 41636753500 42636035584 53295044480 66618805600 83273507000 106590088960 133237611200 166547014000 213180177920 266475222400 333094028000 532950444800 666188056000 1065900889600 1332376112000 2664752224000 5329504448000