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47783426040 = 2334573193173
BaseRepresentation
bin101100100000000111…
…010011011111111000
311120100002221112210000
4230200013103133320
51240330024113130
633541300353000
73311055264000
oct544007233770
9146302845700
1047783426040
11192a0553249
1293166a5760
1346767874bc
1424541bb000
151399ea2260
hexb201d37f8

47783426040 has 1280 divisors, whose sum is σ = 206300160000. Its totient is φ = 9876142080.

The previous prime is 47783426029. The next prime is 47783426051. The reversal of 47783426040 is 4062438774.

47783426040 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 34 + 2 + 604 + 0 = 666.

47783426040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47783426029) and next prime (47783426051).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 654567444 + ... + 654567516.

It is an arithmetic number, because the mean of its divisors is an integer number (161172000).

Almost surely, 247783426040 is an apocalyptic number.

47783426040 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 47783426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103150080000).

47783426040 is an abundant number, since it is smaller than the sum of its proper divisors (158516733960).

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

47783426040 is a wasteful number, since it uses less digits than its factorization.

47783426040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 47783426040 in words is "forty-seven billion, seven hundred eighty-three million, four hundred twenty-six thousand, forty".