Search a number
-
+
16053441047328 = 25311811213116731
BaseRepresentation
bin1110100110011011101110…
…1001101010101100100000
32002211200201220112021212210
43221212323221222230200
54101004421402003303
654050503215122120
73244552143305256
oct351467351525440
962750656467783
1016053441047328
11512a253a60293
121973320b13340
138c5aaa1232c9
143d6dc26625d6
151cc8c08d5203
hexe99bba6ab20

16053441047328 has 96 divisors (see below), whose sum is σ = 42211096183872. Its totient is φ = 5342162457600.

The previous prime is 16053441047327. The next prime is 16053441047351. The reversal of 16053441047328 is 82374014435061.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (16053441047327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137466723 + ... + 137583453.

It is an arithmetic number, because the mean of its divisors is an integer number (439698918582).

Almost surely, 216053441047328 is an apocalyptic number.

It is an amenable number.

16053441047328 is an abundant number, since it is smaller than the sum of its proper divisors (26157655136544).

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

16053441047328 is a wasteful number, since it uses less digits than its factorization.

16053441047328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119138 (or 119130 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 16053441047328 in words is "sixteen trillion, fifty-three billion, four hundred forty-one million, forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1181 1213 2362 2426 3543 3639 4724 4852 7086 7278 9448 9704 14172 14556 18896 19408 28344 29112 37792 38816 56688 58224 113376 116448 116731 233462 350193 466924 700386 933848 1400772 1432553 1867696 2801544 2865106 3735392 4297659 5603088 5730212 8595318 11206176 11460424 17190636 22920848 34381272 45841696 68762544 137525088 137859311 141594703 275718622 283189406 413577933 424784109 551437244 566378812 827155866 849568218 1102874488 1132757624 1654311732 1699136436 2205748976 2265515248 3308623464 3398272872 4411497952 4531030496 6617246928 6796545744 13234493856 13593091488 167223344243 334446688486 501670032729 668893376972 1003340065458 1337786753944 2006680130916 2675573507888 4013360261832 5351147015776 8026720523664 16053441047328