Search a number
-
+
5049613152 = 253243715743
BaseRepresentation
bin1001011001111101…
…01111101101100000
3111000220201221000100
410230332233231200
540320200110102
62153022422400
7236064001143
oct45476575540
914026657010
105049613152
112161414111
12b8b131a00
1362620cb9c
1435c8d805a
151e84a6a1c
hex12cfafb60

5049613152 has 144 divisors (see below), whose sum is σ = 14903336448. Its totient is φ = 1620622080.

The previous prime is 5049613141. The next prime is 5049613171. The reversal of 5049613152 is 2513169405.

5049613152 is a `hidden beast` number, since 5 + 0 + 496 + 13 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876393 + ... + 882135.

It is an arithmetic number, because the mean of its divisors is an integer number (103495392).

Almost surely, 25049613152 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 5049613152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451668224).

5049613152 is an abundant number, since it is smaller than the sum of its proper divisors (9853723296).

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

5049613152 is a wasteful number, since it uses less digits than its factorization.

5049613152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5049613152 is about 71060.6301126017. The cubic root of 5049613152 is about 1715.6131620233.

The spelling of 5049613152 in words is "five billion, forty-nine million, six hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 71 72 86 96 129 142 144 172 213 258 284 288 344 387 426 516 568 639 688 774 852 1032 1136 1278 1376 1548 1704 2064 2272 2556 3053 3096 3408 4128 5112 5743 6106 6192 6816 9159 10224 11486 12212 12384 17229 18318 20448 22972 24424 27477 34458 36636 45944 48848 51687 54954 68916 73272 91888 97696 103374 109908 137832 146544 183776 206748 219816 246949 275664 293088 407753 413496 439632 493898 551328 740847 815506 826992 879264 987796 1223259 1481694 1631012 1653984 1975592 2222541 2446518 2963388 3262024 3669777 3951184 4445082 4893036 5926776 6524048 7339554 7902368 8890164 9786072 11853552 13048096 14679108 17533379 17780328 19572144 23707104 29358216 35066758 35560656 39144288 52600137 58716432 70133516 71121312 105200274 117432864 140267032 157800411 210400548 280534064 315600822 420801096 561068128 631201644 841602192 1262403288 1683204384 2524806576 5049613152