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20415342552 = 233111395091093
BaseRepresentation
bin10011000000110110…
…010110011111011000
31221200210001212010020
4103000312112133120
5313302311430202
613213443350440
71321624356063
oct230066263730
957623055106
1020415342552
118726a24030
123b59082420
131c0475b767
14db95218da
157e74605bc
hex4c0d967d8

20415342552 has 128 divisors (see below), whose sum is σ = 56240352000. Its totient is φ = 6124285440.

The previous prime is 20415342523. The next prime is 20415342557. The reversal of 20415342552 is 25524351402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20415342557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18677718 + ... + 18678810.

It is an arithmetic number, because the mean of its divisors is an integer number (439377750).

Almost surely, 220415342552 is an apocalyptic number.

20415342552 is a gapful number since it is divisible by the number (22) 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 20415342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28120176000).

20415342552 is an abundant number, since it is smaller than the sum of its proper divisors (35825009448).

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

20415342552 is a wasteful number, since it uses less digits than its factorization.

20415342552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 20415342552 its reverse (25524351402), we get a palindrome (45939693954).

The spelling of 20415342552 in words is "twenty billion, four hundred fifteen million, three hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 139 264 278 417 509 556 834 1018 1093 1112 1527 1529 1668 2036 2186 3054 3058 3279 3336 4072 4372 4587 5599 6108 6116 6558 8744 9174 11198 12023 12216 12232 13116 16797 18348 22396 24046 26232 33594 36069 36696 44792 48092 67188 70751 72138 96184 134376 141502 144276 151927 212253 283004 288552 303854 424506 455781 556337 566008 607708 778261 849012 911562 1112674 1215416 1556522 1669011 1671197 1698024 1823124 2225348 2334783 3113044 3338022 3342394 3646248 4450696 4669566 5013591 6119707 6226088 6676044 6684788 9339132 10027182 12239414 13352088 13369576 18359121 18678264 20054364 24478828 36718242 40108728 48957656 73436484 77330843 146872968 154661686 231992529 309323372 463985058 618646744 850639273 927970116 1701278546 1855940232 2551917819 3402557092 5103835638 6805114184 10207671276 20415342552