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13431450277784 = 23711215712625537
BaseRepresentation
bin1100001101110100000011…
…0100101001011110011000
31202120000220212022112202102
43003131000310221132120
53230030102232342114
644322153441222532
72554250600426360
oct303350064513630
952500825275672
1013431450277784
114309278585300
12160b131631a48
13765770c91c86
1434612b0b19a0
151845b21812de
hexc3740d29798

13431450277784 has 96 divisors (see below), whose sum is σ = 31837566663840. Its totient is φ = 5199700746240.

The previous prime is 13431450277783. The next prime is 13431450277793. The reversal of 13431450277784 is 48777205413431.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431450277783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5248937 + ... + 7376600.

It is an arithmetic number, because the mean of its divisors is an integer number (331641319415).

Almost surely, 213431450277784 is an apocalyptic number.

13431450277784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13431450277784 is an abundant number, since it is smaller than the sum of its proper divisors (18406116386056).

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

13431450277784 is a wasteful number, since it uses less digits than its factorization.

13431450277784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12625729 (or 12625714 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 56.

The spelling of 13431450277784 in words is "thirteen trillion, four hundred thirty-one billion, four hundred fifty million, two hundred seventy-seven thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 157 242 308 314 484 616 628 847 968 1099 1256 1694 1727 2198 3388 3454 4396 6776 6908 8792 12089 13816 18997 24178 37994 48356 75988 96712 132979 151976 265958 531916 1063832 12625537 25251074 50502148 88378759 101004296 138880907 176757518 277761814 353515036 555523628 707030072 972166349 1111047256 1527689977 1944332698 1982209309 3055379954 3888665396 3964418618 6110759908 7777330792 7928837236 10693829839 12221519816 13875465163 15857674472 21387659678 21804302399 27750930326 42775319356 43608604798 55501860652 85550638712 87217209596 111003721304 152630116793 174434419192 239847326389 305260233586 479694652778 610520467172 959389305556 1221040934344 1678931284723 1918778611112 3357862569446 6715725138892 13431450277784