Search a number
-
+
15050951102144 = 261797142614379
BaseRepresentation
bin1101101100000101001010…
…0110000000111011000000
31222021212010122211112201202
43123001102212000323000
53433043321440232034
652002151140320332
73112252412335646
oct333012246007300
958255118745652
1015050951102144
114883088579761
121830b850a30a8
138523b6038b29
143a0681665196
151b179a77c47e
hexdb052980ec0

15050951102144 has 56 divisors (see below), whose sum is σ = 31949614322640. Its totient is φ = 7009781907456.

The previous prime is 15050951102137. The next prime is 15050951102153. The reversal of 15050951102144 is 44120115905051.

It is a super-5 number, since 5×150509511021445 (a number of 67 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 15050951102098 and 15050951102107.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 71201654 + ... + 71412725.

It is an arithmetic number, because the mean of its divisors is an integer number (570528827190).

Almost surely, 215050951102144 is an apocalyptic number.

It is an amenable number.

15050951102144 is an abundant number, since it is smaller than the sum of its proper divisors (16898663220496).

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

15050951102144 is a wasteful number, since it uses less digits than its factorization.

15050951102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142614505 (or 142614495 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 38.

The spelling of 15050951102144 in words is "fifteen trillion, fifty billion, nine hundred fifty-one million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 136 194 272 388 544 776 1088 1552 1649 3104 3298 6208 6596 13192 26384 52768 105536 142614379 285228758 570457516 1140915032 2281830064 2424444443 4563660128 4848888886 9127320256 9697777772 13833594763 19395555544 27667189526 38791111088 55334379052 77582222176 110668758104 155164444352 221337516208 235171110971 442675032416 470342221942 885350064832 940684443884 1881368887768 3762737775536 7525475551072 15050951102144