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13150503890784 = 25321319991757089
BaseRepresentation
bin1011111101011101011100…
…0111001110111101100000
31201120011202020010100100200
42333113113013032331200
53210424212444001114
643545131425145200
72525043513513111
oct277272707167540
951504666110320
1013150503890784
114210108682507
1215847a518b200
137451197528b0
143366b86a2208
1517c11c5ec409
hexbf5d71cef60

13150503890784 has 144 divisors (see below), whose sum is σ = 40293587880000. Its totient is φ = 4044282421248.

The previous prime is 13150503890753. The next prime is 13150503890807. The reversal of 13150503890784 is 48709830505131.

13150503890784 is a `hidden beast` number, since 1 + 3 + 1 + 50 + 503 + 8 + 9 + 0 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 13150503890784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6605712 + ... + 8362800.

It is an arithmetic number, because the mean of its divisors is an integer number (279816582500).

Almost surely, 213150503890784 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 13150503890784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20146793940000).

13150503890784 is an abundant number, since it is smaller than the sum of its proper divisors (27143083989216).

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

13150503890784 is a wasteful number, since it uses less digits than its factorization.

13150503890784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759117 (or 1759106 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 13150503890784 in words is "thirteen trillion, one hundred fifty billion, five hundred three million, eight hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 1999 3744 3998 5997 7996 11994 15992 17991 23988 25987 31984 35982 47976 51974 63968 71964 77961 95952 103948 143928 155922 191904 207896 233883 287856 311844 415792 467766 575712 623688 831584 935532 1247376 1757089 1871064 2494752 3514178 3742128 5271267 7028356 7484256 10542534 14056712 15813801 21085068 22842157 28113424 31627602 42170136 45684314 56226848 63255204 68526471 84340272 91368628 126510408 137052942 168680544 182737256 205579413 253020816 274105884 365474512 411158826 506041632 548211768 730949024 822317652 1096423536 1644635304 2192847072 3289270608 3512420911 6578541216 7024841822 10537262733 14049683644 21074525466 28099367288 31611788199 42149050932 45661471843 56198734576 63223576398 84298101864 91322943686 112397469152 126447152796 136984415529 168596203728 182645887372 252894305592 273968831058 337192407456 365291774744 410953246587 505788611184 547937662116 730583549488 821906493174 1011577222368 1095875324232 1461167098976 1643812986348 2191750648464 3287625972696 4383501296928 6575251945392 13150503890784