Search a number
-
+
5065482366432 = 253319330377341
BaseRepresentation
bin100100110110110011001…
…0001101110110111100000
3122221020220011202000002000
41021231212101232313200
51130443101441211212
614435014522524000
71031653242456345
oct111554621566740
918836804660060
105065482366432
111683293814674
12699883966600
132a989959cb57
141372563c27cc
158bb7140e1dc
hex49b6646ede0

5065482366432 has 96 divisors (see below), whose sum is σ = 14850874956960. Its totient is φ = 1679745392640.

The previous prime is 5065482366389. The next prime is 5065482366433. The reversal of 5065482366432 is 2346632845605.

It is a happy number.

5065482366432 is a `hidden beast` number, since 5 + 0 + 6 + 548 + 2 + 3 + 6 + 64 + 32 = 666.

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

It is a super-2 number, since 2×50654823664322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5065482366433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15021919 + ... + 15355422.

It is an arithmetic number, because the mean of its divisors is an integer number (154696614135).

Almost surely, 25065482366432 is an apocalyptic number.

It is an amenable number.

5065482366432 is an abundant number, since it is smaller than the sum of its proper divisors (9785392590528).

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

5065482366432 is a wasteful number, since it uses less digits than its factorization.

5065482366432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30377553 (or 30377539 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 5065482366432 in words is "five trillion, sixty-five billion, four hundred eighty-two million, three hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 193 216 288 386 432 579 772 864 1158 1544 1737 2316 3088 3474 4632 5211 6176 6948 9264 10422 13896 18528 20844 27792 41688 55584 83376 166752 30377341 60754682 91132023 121509364 182264046 243018728 273396069 364528092 486037456 546792138 729056184 820188207 972074912 1093584276 1458112368 1640376414 2187168552 2916224736 3280752828 4374337104 5862826813 6561505656 8748674208 11725653626 13123011312 17588480439 23451307252 26246022624 35176960878 46902614504 52765441317 70353921756 93805229008 105530882634 140707843512 158296323951 187610458016 211061765268 281415687024 316592647902 422123530536 562831374048 633185295804 844247061072 1266370591608 1688494122144 2532741183216 5065482366432