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47733116466 = 23726112792081
BaseRepresentation
bin101100011101000111…
…011000111000110010
311120012121021120000110
4230131013120320302
51240224134211331
633532302202150
73306604536600
oct543507307062
9146177246013
1047733116466
1119275110992
129301883356
134669221219
14244b642870
151395865946
hexb1d1d8e32

47733116466 has 96 divisors (see below), whose sum is σ = 113015623680. Its totient is φ = 13397529600.

The previous prime is 47733116437. The next prime is 47733116521. The reversal of 47733116466 is 66461133774.

47733116466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22936546 + ... + 22938626.

It is an arithmetic number, because the mean of its divisors is an integer number (1177246080).

Almost surely, 247733116466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47733116466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56507811840).

47733116466 is an abundant number, since it is smaller than the sum of its proper divisors (65282507214).

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

47733116466 is a wasteful number, since it uses less digits than its factorization.

47733116466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3433 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The spelling of 47733116466 in words is "forty-seven billion, seven hundred thirty-three million, one hundred sixteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 854 1279 1281 2081 2558 2562 2989 3837 4162 5978 6243 7674 8953 8967 12486 14567 17906 17934 26859 29134 43701 53718 62671 78019 87402 101969 125342 126941 156038 188013 203938 234057 253882 305907 376026 380823 468114 546133 611814 761646 888587 1092266 1638399 1777174 2661599 2665761 3276798 3822931 5323198 5331522 6220109 7645862 7984797 11468793 12440218 15969594 18631193 18660327 22937586 37262386 37320654 55893579 111787158 130418351 162357539 260836702 324715078 391255053 487072617 782510106 974145234 1136502773 2273005546 3409508319 6819016638 7955519411 15911038822 23866558233 47733116466