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4121722880 = 2155112287
BaseRepresentation
bin1111010110101100…
…1000000000000000
3101122020202012211222
43311223020000000
531420130113010
61520554454212
7204066031532
oct36553100000
911566665758
104121722880
111825672450
12970434368
13508bcc8a2
142b159b852
15191cbb355
hexf5ac8000

4121722880 has 128 divisors (see below), whose sum is σ = 10795973760. Its totient is φ = 1498152960.

The previous prime is 4121722867. The next prime is 4121722901. The reversal of 4121722880 is 882271214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4121722880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1801097 + ... + 1803383.

It is an arithmetic number, because the mean of its divisors is an integer number (84343545).

Almost surely, 24121722880 is an apocalyptic number.

4121722880 is a gapful number since it is divisible by the number (40) 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 4121722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397986880).

4121722880 is an abundant number, since it is smaller than the sum of its proper divisors (6674250880).

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

4121722880 is an equidigital number, since it uses as much as digits as its factorization.

4121722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 4121722880 is about 64200.6454796212. The cubic root of 4121722880 is about 1603.3423464218.

The spelling of 4121722880 in words is "four billion, one hundred twenty-one million, seven hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2287 2560 2816 3520 4096 4574 5120 5632 7040 8192 9148 10240 11264 11435 14080 16384 18296 20480 22528 22870 25157 28160 32768 36592 40960 45056 45740 50314 56320 73184 81920 90112 91480 100628 112640 125785 146368 163840 180224 182960 201256 225280 251570 292736 360448 365920 402512 450560 503140 585472 731840 805024 901120 1006280 1170944 1463680 1610048 1802240 2012560 2341888 2927360 3220096 4025120 4683776 5854720 6440192 8050240 9367552 11709440 12880384 16100480 18735104 23418880 25760768 32200960 37470208 46837760 51521536 64401920 74940416 93675520 103043072 128803840 187351040 206086144 257607680 374702080 412172288 515215360 824344576 1030430720 2060861440 4121722880