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20553124452516 = 22323783661281251
BaseRepresentation
bin1001010110001011001011…
…01011101001100010100100
32200202212012120201000121200
410223011211223221202210
510143220244324440031
6111413550334442500
74220625404214105
oct453054553514244
980685176630550
1020553124452516
116604592a30a47
12237b3bb963430
13b611c75ab4a6
14510ac2b323ac
152599797d78e6
hex12b165ae98a4

20553124452516 has 144 divisors (see below), whose sum is σ = 54082640084928. Its totient is φ = 6575580000000.

The previous prime is 20553124452451. The next prime is 20553124452521. The reversal of 20553124452516 is 61525442135502.

20553124452516 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 3 + 124 + 4 + 5 + 2 + 516 = 666.

It is a super-2 number, since 2×205531244525162 (a number of 27 digits) contains 22 as substring.

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, 72936891 + ... + 73218141.

Almost surely, 220553124452516 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 20553124452516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27041320042464).

20553124452516 is an abundant number, since it is smaller than the sum of its proper divisors (33529515632412).

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

20553124452516 is a wasteful number, since it uses less digits than its factorization.

20553124452516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282042 (or 282037 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 20553124452516 in words is "twenty trillion, five hundred fifty-three billion, one hundred twenty-four million, four hundred fifty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 83 111 148 166 222 249 332 333 444 498 661 666 747 996 1322 1332 1494 1983 2644 2988 3071 3966 5949 6142 7932 9213 11898 12284 18426 23796 24457 27639 36852 48914 54863 55278 73371 97828 109726 110556 146742 164589 219452 220113 281251 293484 329178 440226 493767 562502 658356 843753 880452 987534 1125004 1687506 1975068 2029931 2531259 3375012 4059862 5062518 6089793 8119724 10125036 10406287 12179586 18269379 20812574 23343833 24359172 31218861 36538758 41625148 46687666 62437722 70031499 73077516 93375332 93656583 124875444 140062998 185906911 187313166 210094497 280125996 371813822 374626332 420188994 557720733 743627644 840377988 863721821 1115441466 1673162199 1727443642 2230882932 2591165463 3346324398 3454887284 5182330926 6692648796 6878555707 7773496389 10364661852 13757111414 15430273613 15546992778 20635667121 27514222828 30860547226 31093985556 41271334242 46290820839 61721094452 61907001363 82542668484 92581641678 123814002726 138872462517 185163283356 247628005452 277744925034 555489850068 570920123681 1141840247362 1712760371043 2283680494724 3425520742086 5138281113129 6851041484172 10276562226258 20553124452516