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5405456112 = 243731737109
BaseRepresentation
bin1010000100011000…
…01011011011110000
3111221201022121210020
411002030023123300
542032244043422
62252213403440
7250644422160
oct50214133360
914851277706
105405456112
11232426a201
12106a339580
13681b60754
14393c865a0
1521984695c
hex14230b6f0

5405456112 has 160 divisors (see below), whose sum is σ = 16701788160. Its totient is φ = 1473914880.

The previous prime is 5405456093. The next prime is 5405456117. The reversal of 5405456112 is 2116545045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405456117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756814 + ... + 763922.

It is an arithmetic number, because the mean of its divisors is an integer number (104386176).

Almost surely, 25405456112 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 5405456112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8350894080).

5405456112 is an abundant number, since it is smaller than the sum of its proper divisors (11296332048).

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

5405456112 is a wasteful number, since it uses less digits than its factorization.

5405456112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7231 (or 7225 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 5405456112 is about 73521.8070506976. The cubic root of 5405456112 is about 1755.0013243389.

The spelling of 5405456112 in words is "five billion, four hundred five million, four hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 73 84 93 112 124 146 168 186 217 219 248 292 336 372 434 438 496 511 584 651 744 868 876 1022 1168 1302 1488 1533 1736 1752 2044 2263 2604 3066 3472 3504 4088 4526 5208 6132 6789 7109 8176 9052 10416 12264 13578 14218 15841 18104 21327 24528 27156 28436 31682 36208 42654 47523 49763 54312 56872 63364 85308 95046 99526 108624 113744 126728 149289 170616 190092 199052 220379 253456 298578 341232 380184 398104 440758 518957 597156 661137 760368 796208 881516 1037914 1194312 1322274 1542653 1556871 1763032 2075828 2388624 2644548 3085306 3113742 3526064 3632699 4151656 4627959 5289096 6170612 6227484 7265398 8303312 9255918 10578192 10898097 12341224 12454968 14530796 16087667 18511836 21796194 24682448 24909936 29061592 32175334 37023672 43592388 48263001 58123184 64350668 74047344 87184776 96526002 112613669 128701336 174369552 193052004 225227338 257402672 337841007 386104008 450454676 675682014 772208016 900909352 1351364028 1801818704 2702728056 5405456112