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48773322240 = 293519334247
BaseRepresentation
bin101101011011000111…
…011101011000000000
311122220002121111002020
4231123013131120000
51244341432302430
634223421321440
73344435253516
oct553307353000
9148802544066
1048773322240
11197592a5985
129552106280
1347a38977b6
1425098584b6
151406d39b10
hexb5b1dd600

48773322240 has 160 divisors (see below), whose sum is σ = 164129137920. Its totient is φ = 12321644544.

The previous prime is 48773322229. The next prime is 48773322277. The reversal of 48773322240 is 4222337784.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 48773322192 and 48773322201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21204 + ... + 313043.

It is an arithmetic number, because the mean of its divisors is an integer number (1025807112).

Almost surely, 248773322240 is an apocalyptic number.

48773322240 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 48773322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82064568960).

48773322240 is an abundant number, since it is smaller than the sum of its proper divisors (115355815680).

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

48773322240 is a wasteful number, since it uses less digits than its factorization.

48773322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334292 (or 334276 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 48773322240 in words is "forty-eight billion, seven hundred seventy-three million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2432 2560 3040 3648 3840 4560 4864 6080 7296 7680 9120 9728 12160 14592 18240 24320 29184 36480 48640 72960 145920 334247 668494 1002741 1336988 1671235 2005482 2673976 3342470 4010964 5013705 5347952 6350693 6684940 8021928 10027410 10695904 12701386 13369880 16043856 19052079 20054820 21391808 25402772 26739760 31753465 32087712 38104158 40109640 42783616 50805544 53479520 63506930 64175424 76208316 80219280 85567232 95260395 101611088 106959040 127013860 128350848 152416632 160438560 171134464 190520790 203222176 213918080 254027720 256701696 304833264 320877120 381041580 406444352 427836160 508055440 513403392 609666528 641754240 762083160 812888704 855672320 1016110880 1219333056 1283508480 1524166320 1625777408 2032221760 2438666112 2567016960 3048332640 3251554816 4064443520 4877332224 6096665280 8128887040 9754664448 12193330560 16257774080 24386661120 48773322240