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1720295080448 = 2974354720407
BaseRepresentation
bin11001000010001001100…
…100111100001000000000
320002110101022200201202012
4121002021210330020000
5211141131020033243
63354143113512052
7235200341626220
oct31021144741000
96073338621665
101720295080448
116036337a794a
122394a3412628
13c62b92a7c09
145d396cc6080
152eb37425d18
hex1908993c200

1720295080448 has 160 divisors (see below), whose sum is σ = 4027163864064. Its totient is φ = 718771802112.

The previous prime is 1720295080447. The next prime is 1720295080451. The reversal of 1720295080448 is 8440805920271.

It is a junction number, because it is equal to n+sod(n) for n = 1720295080396 and 1720295080405.

It is not an unprimeable number, because it can be changed into a prime (1720295080447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84289061 + ... + 84309467.

Almost surely, 21720295080448 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 1720295080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013581932032).

1720295080448 is an abundant number, since it is smaller than the sum of its proper divisors (2306868783616).

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

1720295080448 is an equidigital number, since it uses as much as digits as its factorization.

1720295080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21022 (or 21006 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 1720295080448 in words is "one trillion, seven hundred twenty billion, two hundred ninety-five million, eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 512 547 602 688 896 1094 1204 1376 1792 2188 2408 2752 3584 3829 4376 4816 5504 7658 8752 9632 11008 15316 17504 19264 20407 22016 23521 30632 35008 38528 40814 47042 61264 70016 77056 81628 94084 122528 140032 142849 154112 163256 164647 188168 245056 280064 285698 326512 329294 376336 490112 571396 653024 658588 752672 877501 980224 1142792 1306048 1317176 1505344 1755002 1960448 2285584 2612096 2634352 3010688 3510004 4571168 5224192 5268704 6021376 6142507 7020008 9142336 10448384 10537408 11162629 12042752 12285014 14040016 18284672 21074816 22325258 24570028 28080032 36569344 42149632 44650516 49140056 56160064 73138688 78138403 84299264 89301032 98280112 112320128 156276806 178602064 196560224 224640256 312553612 357204128 393120448 449280512 479993047 625107224 714408256 786240896 959986094 1250214448 1428816512 1572481792 1919972188 2500428896 2857633024 3144963584 3359951329 3839944376 5000857792 5715266048 6719902658 7679888752 10001715584 13439805316 15359777504 20003431168 26879610632 30719555008 40006862336 53759221264 61439110016 107518442528 122878220032 215036885056 245756440064 430073770112 860147540224 1720295080448