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48004884642264 = 23311424861427991
BaseRepresentation
bin10101110101001000000100…
…00110001011100111011000
320021222012222221121221200020
422322210002012023213120
522243003000432023024
6250033050051110440
713053144535612434
oct1272440206134730
9207865887557606
1048004884642264
1114328836994340
1254738028a2420
1320a2ac215a594
14bbd63d78b9c4
15583ab58ed979
hex2ba90218b9d8

48004884642264 has 64 divisors (see below), whose sum is σ = 130923026714880. Its totient is φ = 14546866512000.

The previous prime is 48004884642263. The next prime is 48004884642269. The reversal of 48004884642264 is 46224648840084.

It is a junction number, because it is equal to n+sod(n) for n = 48004884642198 and 48004884642207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48004884642263) 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, 111949309 + ... + 112377299.

It is an arithmetic number, because the mean of its divisors is an integer number (2045672292420).

Almost surely, 248004884642264 is an apocalyptic number.

48004884642264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48004884642264 is an abundant number, since it is smaller than the sum of its proper divisors (82918142072616).

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

48004884642264 is a wasteful number, since it uses less digits than its factorization.

48004884642264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852872 (or 852868 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 60.

The spelling of 48004884642264 in words is "forty-eight trillion, four billion, eight hundred eighty-four million, six hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 424861 427991 849722 855982 1274583 1283973 1699444 1711964 2549166 2567946 3398888 3423928 4673471 4707901 5098332 5135892 9346942 9415802 10196664 10271784 14020413 14123703 18693884 18831604 28040826 28247406 37387768 37663208 56081652 56494812 112163304 112989624 181836684251 363673368502 545510052753 727346737004 1091020105506 1454693474008 2000203526761 2182040211012 4000407053522 4364080422024 6000610580283 8000814107044 12001221160566 16001628214088 24002442321132 48004884642264