Search a number
-
+
5401765824 = 263713309167
BaseRepresentation
bin1010000011111100…
…00110011111000000
3111221110101010122220
411001332012133000
542030323001244
62252002331040
7250601152260
oct50176063700
914843333586
105401765824
112322179684
121069059a80
1368116ab50
143935a57a0
15219368319
hex141f867c0

5401765824 has 112 divisors (see below), whose sum is σ = 17590422528. Its totient is φ = 1424636928.

The previous prime is 5401765819. The next prime is 5401765843. The reversal of 5401765824 is 4285671045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137112 + ... + 172055.

It is an arithmetic number, because the mean of its divisors is an integer number (157057344).

Almost surely, 25401765824 is an apocalyptic number.

It is an amenable number.

5401765824 is an abundant number, since it is smaller than the sum of its proper divisors (12188656704).

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

5401765824 is a wasteful number, since it uses less digits than its factorization.

5401765824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309202 (or 309192 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 5401765824 is about 73496.7062119113. The cubic root of 5401765824 is about 1754.6018554460.

The spelling of 5401765824 in words is "five billion, four hundred one million, seven hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 309167 618334 927501 1236668 1855002 2164169 2473336 3710004 4019171 4328338 4946672 6492507 7420008 8038342 8656676 9893344 12057513 12985014 14840016 16076684 17313352 19786688 24115026 25970028 28134197 29680032 32153368 34626704 48230052 51940056 56268394 59360064 64306736 69253408 84402591 96460104 103880112 112536788 128613472 138506816 168805182 192920208 207760224 225073576 257226944 337610364 385840416 415520448 450147152 675220728 771680832 900294304 1350441456 1800588608 2700882912 5401765824