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13045642050 = 2352723995179
BaseRepresentation
bin11000010011001010…
…01011001101000010
31020200011200021120210
430021211023031002
5203204141021200
65554301214550
7641166061560
oct141145131502
936604607523
1013045642050
115594a19a61
122640b61456
1312cb99262c
148ba84aa30
1551546a650
hex30994b342

13045642050 has 96 divisors (see below), whose sum is σ = 36997632000. Its totient is φ = 2980042560.

The previous prime is 13045642037. The next prime is 13045642061. The reversal of 13045642050 is 5024654031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13045641999 and 13045642017.

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, 2516361 + ... + 2521539.

It is an arithmetic number, because the mean of its divisors is an integer number (385392000).

Almost surely, 213045642050 is an apocalyptic number.

13045642050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13045642050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498816000).

13045642050 is an abundant number, since it is smaller than the sum of its proper divisors (23951989950).

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

13045642050 is a wasteful number, since it uses less digits than its factorization.

13045642050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13045642050 in words is "thirteen billion, forty-five million, six hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 2399 4798 5179 7197 10358 11995 14394 15537 16793 23990 25895 31074 33586 35985 36253 50379 51790 59975 71970 72506 77685 83965 100758 108759 119950 129475 155370 167930 179925 181265 217518 251895 258950 359850 362530 388425 419825 503790 543795 776850 839650 906325 1087590 1259475 1812650 2518950 2718975 5437950 12424421 24848842 37273263 62122105 74546526 86970947 124244210 173941894 186366315 260912841 310610525 372732630 434854735 521825682 621221050 869709470 931831575 1304564205 1863663150 2174273675 2609128410 4348547350 6522821025 13045642050