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5365980048 = 24311137310709
BaseRepresentation
bin1001111111101011…
…00101101110010000
3111211222001000210210
410333311211232100
541442142330143
62244243324120
7246655035462
oct47765455620
914758030723
105365980048
112303a57260
121059080640
1367691b530
1438c92c132
1521614a033
hex13fd65b90

5365980048 has 160 divisors (see below), whose sum is σ = 16510193280. Its totient is φ = 1480273920.

The previous prime is 5365980041. The next prime is 5365980073. The reversal of 5365980048 is 8400895635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5365979979 and 5365980006.

It is not an unprimeable number, because it can be changed into a prime (5365980041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 495718 + ... + 506426.

It is an arithmetic number, because the mean of its divisors is an integer number (103188708).

Almost surely, 25365980048 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 5365980048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255096640).

5365980048 is an abundant number, since it is smaller than the sum of its proper divisors (11144213232).

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

5365980048 is a wasteful number, since it uses less digits than its factorization.

5365980048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10811 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 5365980048 is about 73252.8501015489. The cubic root of 5365980048 is about 1750.7186216532.

The spelling of 5365980048 in words is "five billion, three hundred sixty-five million, nine hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 73 78 88 104 132 143 146 156 176 208 219 264 286 292 312 429 438 528 572 584 624 803 858 876 949 1144 1168 1606 1716 1752 1898 2288 2409 2847 3212 3432 3504 3796 4818 5694 6424 6864 7592 9636 10439 10709 11388 12848 15184 19272 20878 21418 22776 31317 32127 38544 41756 42836 45552 62634 64254 83512 85672 117799 125268 128508 139217 167024 171344 235598 250536 257016 278434 353397 417651 471196 501072 514032 556868 706794 781757 835302 942392 1113736 1413588 1531387 1563514 1670604 1884784 2227472 2345271 2827176 3062774 3127028 3341208 4594161 4690542 5654352 6125548 6254056 6682416 8599327 9188322 9381084 10162841 12251096 12508112 17198654 18376644 18762168 20325682 24502192 25797981 30488523 34397308 36753288 37524336 40651364 51595962 60977046 68794616 73506576 81302728 103191924 111791251 121954092 137589232 162605456 206383848 223582502 243908184 335373753 412767696 447165004 487816368 670747506 894330008 1341495012 1788660016 2682990024 5365980048