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2048550933408 = 2537712604729
BaseRepresentation
bin11101110011110111001…
…001101001001110100000
321020211200000222210220220
4131303313021221032200
5232030413014332113
64205031420003040
7301001000425620
oct35636711511640
97224600883826
102048550933408
1171a870661741
12291033690480
1311b240036035
1471216978880
153844a539523
hex1dcf72693a0

2048550933408 has 144 divisors (see below), whose sum is σ = 6233440731840. Its totient is φ = 577055646720.

The previous prime is 2048550933379. The next prime is 2048550933421. The reversal of 2048550933408 is 8043390558402.

It is a happy number.

It is a super-4 number, since 4×20485509334084 (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3085188 + ... + 3689916.

It is an arithmetic number, because the mean of its divisors is an integer number (43287782860).

Almost surely, 22048550933408 is an apocalyptic number.

2048550933408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048550933408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116720365920).

2048550933408 is an abundant number, since it is smaller than the sum of its proper divisors (4184889798432).

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

2048550933408 is an equidigital number, since it uses as much as digits as its factorization.

2048550933408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604891 (or 604812 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 2048550933408 in words is "two trillion, forty-eight billion, five hundred fifty million, nine hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5041 5964 6816 7952 10082 11928 15123 15904 20164 23856 30246 35287 40328 47712 60492 70574 80656 105861 120984 141148 161312 211722 241968 282296 423444 483936 564592 604729 846888 1129184 1209458 1693776 1814187 2418916 3387552 3628374 4233103 4837832 7256748 8466206 9675664 12699309 14513496 16932412 19351328 25398618 29026992 33864824 42935759 50797236 58053984 67729648 85871518 101594472 128807277 135459296 171743036 203188944 257614554 300550313 343486072 406377888 515229108 601100626 686972144 901650939 1030458216 1202201252 1373944288 1803301878 2060916432 2404402504 3048438889 3606603756 4121832864 4808805008 6096877778 7213207512 9145316667 9617610016 12193755556 14426415024 18290633334 21339072223 24387511112 28852830048 36581266668 42678144446 48775022224 64017216669 73162533336 85356288892 97550044448 128034433338 146325066672 170712577784 256068866676 292650133344 341425155568 512137733352 682850311136 1024275466704 2048550933408