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5422876416 = 283210721997
BaseRepresentation
bin1010000110011101…
…01000011100000000
3111222221002122221200
411003032220130000
542101224021131
62254035021200
7251245455216
oct50316503400
914887078850
105422876416
112333088351
12107413a800
1368564c919
143962dccb6
1521b1382e6
hex1433a8700

5422876416 has 108 divisors (see below), whose sum is σ = 15782333112. Its totient is φ = 1790650368.

The previous prime is 5422876397. The next prime is 5422876423. The reversal of 5422876416 is 6146782245.

5422876416 is a `hidden beast` number, since 5 + 4 + 228 + 7 + 6 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235530 + ... + 257526.

It is an arithmetic number, because the mean of its divisors is an integer number (146132714).

Almost surely, 25422876416 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 5422876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891166556).

5422876416 is an abundant number, since it is smaller than the sum of its proper divisors (10359456696).

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

5422876416 is a wasteful number, since it uses less digits than its factorization.

5422876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22126 (or 22109 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5422876416 is about 73640.1820747342. The cubic root of 5422876416 is about 1756.8845988305.

The spelling of 5422876416 in words is "five billion, four hundred twenty-two million, eight hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 576 642 768 856 963 1152 1284 1712 1926 2304 2568 3424 3852 5136 6848 7704 10272 13696 15408 20544 21997 27392 30816 41088 43994 61632 65991 82176 87988 123264 131982 175976 197973 246528 263964 351952 395946 527928 703904 791892 1055856 1407808 1583784 2111712 2353679 2815616 3167568 4223424 4707358 5631232 6335136 7061037 8446848 9414716 12670272 14122074 16893696 18829432 21183111 25340544 28244148 37658864 42366222 50681088 56488296 75317728 84732444 112976592 150635456 169464888 225953184 301270912 338929776 451906368 602541824 677859552 903812736 1355719104 1807625472 2711438208 5422876416