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1720990991412 = 22327115647109943
BaseRepresentation
bin11001000010110011000…
…011101000010000110100
320002112011211011200010100
4121002303003220100310
5211144042143211122
63354340133354100
7235223522030160
oct31026303502064
96075154150110
101720990991412
11603960604080
12239658498930
13c639a515054
145d4214b7ca0
152eb7858baac
hex190b30e8434

1720990991412 has 144 divisors (see below), whose sum is σ = 5424738988032. Its totient is φ = 446927423040.

The previous prime is 1720990991411. The next prime is 1720990991413. The reversal of 1720990991412 is 2141990990271.

1720990991412 is a `hidden beast` number, since 17 + 209 + 9 + 0 + 9 + 9 + 1 + 412 = 666.

It is an interprime number because it is at equal distance from previous prime (1720990991411) and next prime (1720990991413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1720990991411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15598513 + ... + 15708455.

It is an arithmetic number, because the mean of its divisors is an integer number (37671798528).

Almost surely, 21720990991412 is an apocalyptic number.

1720990991412 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 1720990991412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712369494016).

1720990991412 is an abundant number, since it is smaller than the sum of its proper divisors (3703747996620).

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

1720990991412 is a wasteful number, since it uses less digits than its factorization.

1720990991412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115618 (or 115613 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 1720990991412 in words is "one trillion, seven hundred twenty billion, nine hundred ninety million, nine hundred ninety-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 5647 11294 16941 22588 33882 39529 50823 62117 67764 79058 101646 109943 118587 124234 158116 186351 203292 219886 237174 248468 329829 355761 372702 434819 439772 474348 559053 659658 711522 745404 769601 869638 989487 1118106 1209373 1304457 1319316 1423044 1539202 1739276 1978974 2236212 2308803 2418746 2608914 3078404 3628119 3913371 3957948 4617606 4837492 5217828 6926409 7256238 7826742 8465611 9235212 10884357 13852818 14512476 15653484 16931222 21768714 25396833 27705636 33862444 43537428 50793666 76190499 101587332 152380998 304761996 620848121 1241696242 1862544363 2483392484 3725088726 4345936847 5587633089 6829329331 7450177452 8691873694 11175266178 13037810541 13658658662 17383747388 20487987993 22350532356 26075621082 27317317324 39113431623 40975975986 47805305317 52151242164 61463963979 78226863246 81951951972 95610610634 122927927958 143415915951 156453726492 191221221268 245855855916 286831831902 430247747853 573663663804 860495495706 1720990991412