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32420100342204 = 223217269331594953
BaseRepresentation
bin1110101111100011001001…
…00100001000000110111100
311020210022221112110011022200
413113301210210020012330
513222132331141422304
6152541331040311500
76554163211031121
oct727614444100674
9136708845404280
1032420100342204
11a36a3184a88a3
123777296012590
13151228271ca63
148011d9764748
153b34c413be39
hex1d7c649081bc

32420100342204 has 144 divisors (see below), whose sum is σ = 87357286205280. Its totient is φ = 10102570536960.

The previous prime is 32420100342193. The next prime is 32420100342233. The reversal of 32420100342204 is 40224300102423.

32420100342204 is a `hidden beast` number, since 3 + 2 + 420 + 1 + 0 + 0 + 34 + 2 + 204 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54194392 + ... + 54789344.

It is an arithmetic number, because the mean of its divisors is an integer number (606647820870).

Almost surely, 232420100342204 is an apocalyptic number.

32420100342204 is a gapful number since it is divisible by the number (34) 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 32420100342204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43678643102640).

32420100342204 is an abundant number, since it is smaller than the sum of its proper divisors (54937185863076).

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

32420100342204 is a wasteful number, since it uses less digits than its factorization.

32420100342204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595580 (or 595575 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 32420100342204 its reverse (40224300102423), we get a palindrome (72644400444627).

The spelling of 32420100342204 in words is "thirty-two trillion, four hundred twenty billion, one hundred million, three hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 269 306 331 538 612 662 807 993 1076 1324 1614 1986 2421 2979 3228 3972 4573 4842 5627 5958 9146 9684 11254 11916 13719 16881 18292 22508 27438 33762 41157 50643 54876 67524 82314 89039 101286 164628 178078 202572 267117 356156 534234 594953 801351 1068468 1189906 1513663 1602702 1784859 2379812 3027326 3205404 3569718 4540989 5354577 6054652 7139436 9081978 10114201 10709154 13622967 18163956 20228402 21418308 27245934 30342603 40456804 54491868 60685206 91027809 121370412 160042357 182055618 196929443 320084714 364111236 393858886 480127071 590788329 640169428 787717772 960254142 1181576658 1440381213 1772364987 1920508284 2363153316 2720720069 2880762426 3347800531 3544729974 5441440138 5761524852 6695601062 7089459948 8162160207 10043401593 10882880276 13391202124 16324320414 20086803186 24486480621 30130204779 32648640828 40173606372 48972961242 52974020167 60260409558 97945922484 105948040334 120520819116 158922060501 211896080668 317844121002 476766181503 635688242004 900558342839 953532363006 1801116685678 1907064726012 2701675028517 3602233371356 5403350057034 8105025085551 10806700114068 16210050171102 32420100342204