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20772913447332 = 2235233129973787
BaseRepresentation
bin1001011100100100100100…
…01000001000000110100100
32201112212112001110210200000
410232102102020020012210
510210320411320303312
6112102540015421300
74242536105643414
oct456222210100644
981485461423600
1020772913447332
11668981a101912
1223b5b1a824830
13b78b53666a47
1451b5b3090644
152605401e7adc
hex12e4922081a4

20772913447332 has 144 divisors (see below), whose sum is σ = 58654626680832. Its totient is φ = 6409594398240.

The previous prime is 20772913447291. The next prime is 20772913447333. The reversal of 20772913447332 is 23374431927702.

20772913447332 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 2 + 9 + 134 + 473 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20772913447333) 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, 14293858 + ... + 15679929.

Almost surely, 220772913447332 is an apocalyptic number.

It is an amenable number.

20772913447332 is an abundant number, since it is smaller than the sum of its proper divisors (37881713233500).

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

20772913447332 is a wasteful number, since it uses less digits than its factorization.

20772913447332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29973860 (or 29973846 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 20772913447332 in words is "twenty trillion, seven hundred seventy-two billion, nine hundred thirteen million, four hundred forty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 81 92 93 108 124 138 162 186 207 243 276 279 324 372 414 486 558 621 713 828 837 972 1116 1242 1426 1674 1863 2139 2484 2511 2852 3348 3726 4278 5022 5589 6417 7452 7533 8556 10044 11178 12834 15066 19251 22356 25668 30132 38502 57753 77004 115506 173259 231012 346518 693036 29973787 59947574 89921361 119895148 179842722 269764083 359685444 539528166 689397101 809292249 929187397 1079056332 1378794202 1618584498 1858374794 2068191303 2427876747 2757588404 2787562191 3237168996 3716749588 4136382606 4855753494 5575124382 6204573909 7283630241 8272765212 8362686573 9711506988 11150248764 12409147818 14567260482 16725373146 18613721727 21371310131 24818295636 25088059719 29134520964 33450746292 37227443454 42742620262 50176119438 55841165181 64113930393 74454886908 75264179157 85485240524 100352238876 111682330362 128227860786 150528358314 167523495543 192341791179 223364660724 225792537471 256455721572 301056716628 335046991086 384683582358 451585074942 577025373537 670093982172 769367164716 903170149884 1154050747074 1731076120611 2308101494148 3462152241222 5193228361833 6924304482444 10386456723666 20772913447332