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5429041152 = 21131946507
BaseRepresentation
bin1010000111001100…
…01001100000000000
3112000100200212101020
411003212021200000
542104313304102
62254415105440
7251352042213
oct50346114000
915010625336
105429041152
112336608a77
121076212280
136869ca8b2
1439706577a
1521b954bbc
hex143989800

5429041152 has 96 divisors (see below), whose sum is σ = 15236020800. Its totient is φ = 1714397184.

The previous prime is 5429041127. The next prime is 5429041157. The reversal of 5429041152 is 2511409245.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5429041157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93483 + ... + 139989.

It is an arithmetic number, because the mean of its divisors is an integer number (158708550).

Almost surely, 25429041152 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 5429041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618010400).

5429041152 is an abundant number, since it is smaller than the sum of its proper divisors (9806979648).

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

5429041152 is a wasteful number, since it uses less digits than its factorization.

5429041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46551 (or 46531 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5429041152 is about 73682.0273336721. The cubic root of 5429041152 is about 1757.5500899440.

The spelling of 5429041152 in words is "five billion, four hundred twenty-nine million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4864 6144 7296 9728 14592 19456 29184 38912 46507 58368 93014 116736 139521 186028 279042 372056 558084 744112 883633 1116168 1488224 1767266 2232336 2650899 2976448 3534532 4464672 5301798 5952896 7069064 8929344 10603596 11905792 14138128 17858688 21207192 23811584 28276256 35717376 42414384 47623168 56552512 71434752 84828768 95246336 113105024 142869504 169657536 226210048 285739008 339315072 452420096 678630144 904840192 1357260288 1809680384 2714520576 5429041152