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1720834056432 = 2432411971479539
BaseRepresentation
bin11001000010101001101…
…100111110000011110000
320002111202212212112210200
4121002221230332003300
5211143232004301212
63354312405555200
7235216605064611
oct31025154760360
96074685775720
101720834056432
1160388aa65547
12239613a15b00
13c6373b5870a
145d408705c08
152eb698dc6dc
hex190a9b3e0f0

1720834056432 has 120 divisors (see below), whose sum is σ = 4958453419920. Its totient is φ = 556779740160.

The previous prime is 1720834056419. The next prime is 1720834056433. The reversal of 1720834056432 is 2346504380271.

1720834056432 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 83 + 4 + 0 + 564 + 3 + 2 = 666.

It is a super-2 number, since 2×17208340564322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1720834056433) 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 23 ways as a sum of consecutive naturals, for example, 423319 + ... + 1902857.

It is an arithmetic number, because the mean of its divisors is an integer number (41320445166).

Almost surely, 21720834056432 is an apocalyptic number.

1720834056432 is a gapful number since it is divisible by the number (12) 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 1720834056432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479226709960).

1720834056432 is an abundant number, since it is smaller than the sum of its proper divisors (3237619363488).

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

1720834056432 is a wasteful number, since it uses less digits than its factorization.

1720834056432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479791 (or 1479782 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1720834056432 in words is "one trillion, seven hundred twenty billion, eight hundred thirty-four million, fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 197 246 328 369 394 492 591 656 738 788 984 1182 1476 1576 1773 1968 2364 2952 3152 3546 4728 5904 7092 8077 9456 14184 16154 24231 28368 32308 48462 64616 72693 96924 129232 145386 193848 290772 387696 581544 1163088 1479539 2959078 4438617 5918156 8877234 11836312 13315851 17754468 23672624 26631702 35508936 53263404 60661099 71017872 106526808 121322198 181983297 213053616 242644396 291469183 363966594 485288792 545949891 582938366 727933188 874407549 970577584 1091899782 1165876732 1455866376 1748815098 2183799564 2331753464 2623222647 2911732752 3497630196 4367599128 4663506928 5246445294 6995260392 8735198256 10492890588 11950236503 13990520784 20985781176 23900473006 35850709509 41971562352 47800946012 71701419018 95601892024 107552128527 143402838036 191203784048 215104257054 286805676072 430208514108 573611352144 860417028216 1720834056432