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47813334744 = 2337398971347
BaseRepresentation
bin101100100001111001…
…011001011011011000
311120102012020001210210
4230201321121123120
51240410203202434
633544245411120
73311600432250
oct544171313330
9146365201723
1047813334744
111930642108a
129324709aa0
13467ca29a66
142458164960
15139c90dee9
hexb21e596d8

47813334744 has 64 divisors (see below), whose sum is σ = 136645689600. Its totient is φ = 13657336704.

The previous prime is 47813334739. The next prime is 47813334781. The reversal of 47813334744 is 44743331874.

47813334744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×478133347442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 47813334693 and 47813334702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634479 + ... + 705825.

It is an arithmetic number, because the mean of its divisors is an integer number (2135088900).

Almost surely, 247813334744 is an apocalyptic number.

It is an amenable number.

47813334744 is an abundant number, since it is smaller than the sum of its proper divisors (88832354856).

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

47813334744 is a wasteful number, since it uses less digits than its factorization.

47813334744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75352 (or 75348 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 48.

The spelling of 47813334744 in words is "forty-seven billion, eight hundred thirteen million, three hundred thirty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3989 7978 11967 15956 23934 27923 31912 47868 55846 71347 83769 95736 111692 142694 167538 214041 223384 285388 335076 428082 499429 570776 670152 856164 998858 1498287 1712328 1997716 2996574 3995432 5993148 11986296 284603183 569206366 853809549 1138412732 1707619098 1992222281 2276825464 3415238196 3984444562 5976666843 6830476392 7968889124 11953333686 15937778248 23906667372 47813334744