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13820566848 = 2631113674787
BaseRepresentation
bin11001101111100010…
…10001110101000000
31022200011211112120020
430313301101311000
5211301031114343
610203222413440
7666325610544
oct146761216500
938604745506
1013820566848
115952393480
122818591280
1313c33a600a
14951729a24
1555d4dcb83
hex337c51d40

13820566848 has 112 divisors (see below), whose sum is σ = 39928702464. Its totient is φ = 4184112640.

The previous prime is 13820566843. The next prime is 13820566861. The reversal of 13820566848 is 84866502831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13820566848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13820566843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2884711 + ... + 2889497.

It is an arithmetic number, because the mean of its divisors is an integer number (356506272).

Almost surely, 213820566848 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 13820566848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19964351232).

13820566848 is an abundant number, since it is smaller than the sum of its proper divisors (26108135616).

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

13820566848 is a wasteful number, since it uses less digits than its factorization.

13820566848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6180 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 13820566848 in words is "thirteen billion, eight hundred twenty million, five hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1367 2112 2734 4101 4787 5468 8202 9574 10936 14361 15037 16404 19148 21872 28722 30074 32808 38296 43744 45111 52657 57444 60148 65616 76592 87488 90222 105314 114888 120296 131232 153184 157971 180444 210628 229776 240592 262464 306368 315942 360888 421256 459552 481184 631884 721776 842512 919104 962368 1263768 1443552 1685024 2527536 2887104 3370048 5055072 6543829 10110144 13087658 19631487 26175316 39262974 52350632 71982119 78525948 104701264 143964238 157051896 209402528 215946357 287928476 314103792 418805056 431892714 575856952 628207584 863785428 1151713904 1256415168 1727570856 2303427808 3455141712 4606855616 6910283424 13820566848