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1720141562436 = 22311192137263489
BaseRepresentation
bin11001000010000000011…
…011010100001001000100
320002102222121211012121220
4121002000123110021010
5211140322214444221
63354115551240340
7235163466014643
oct31020033241104
96072877735556
101720141562436
11603565082560
1223945bb190b0
13c629354695b
145d38076335a
152eb28bee0c6
hex190806d4244

1720141562436 has 144 divisors (see below), whose sum is σ = 4654869145920. Its totient is φ = 490214154240.

The previous prime is 1720141562411. The next prime is 1720141562437. The reversal of 1720141562436 is 6342651410271.

It is not an unprimeable number, because it can be changed into a prime (1720141562437) 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 47 ways as a sum of consecutive naturals, for example, 6396580 + ... + 6660068.

It is an arithmetic number, because the mean of its divisors is an integer number (32325480180).

Almost surely, 21720141562436 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 1720141562436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327434572960).

1720141562436 is an abundant number, since it is smaller than the sum of its proper divisors (2934727583484).

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

1720141562436 is a wasteful number, since it uses less digits than its factorization.

1720141562436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263682 (or 263661 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 1720141562436 in words is "one trillion, seven hundred twenty billion, one hundred forty-one million, five hundred sixty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 137 209 228 274 361 411 418 548 627 722 822 836 1083 1254 1444 1507 1644 2166 2508 2603 3014 3971 4332 4521 5206 6028 7809 7942 9042 10412 11913 15618 15884 18084 23826 28633 31236 47652 49457 57266 85899 98914 114532 148371 171798 197828 263489 296742 343596 526978 544027 593484 790467 1053956 1088054 1580934 1632081 2176108 2898379 3161868 3264162 5006291 5796758 6528324 8695137 10012582 11593516 15018873 17390274 20025164 30037746 34780548 36097993 55069201 60075492 72195986 95119529 108293979 110138402 144391972 165207603 190239058 216587958 220276804 285358587 330415206 380478116 397077923 433175916 570717174 660830412 685861867 794155846 1046314819 1141434348 1191233769 1371723734 1588311692 2057585601 2092629638 2382467538 2743447468 3138944457 4115171202 4185259276 4764935076 6277888914 7544480537 8230342404 12555777828 13031375473 15088961074 22633441611 26062750946 30177922148 39094126419 45266883222 52125501892 78188252838 90533766444 143345130203 156376505676 286690260406 430035390609 573380520812 860070781218 1720141562436