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46969286040 = 23325677127427
BaseRepresentation
bin101011101111100101…
…100110110110011000
311111020100222221122200
4223233211212312120
51232143114123130
633324414450200
73251641225665
oct535745466630
9144210887580
1046969286040
1118a12a34876
129129b03960
134576bc3561
1423b8010a6c
15134d785760
hexaef966d98

46969286040 has 192 divisors, whose sum is σ = 157116360960. Its totient is φ = 12163979520.

The previous prime is 46969286003. The next prime is 46969286047. The reversal of 46969286040 is 4068296964.

46969286040 is a `hidden beast` number, since 4 + 6 + 9 + 6 + 9 + 28 + 604 + 0 = 666.

It is a super-2 number, since 2×469692860402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46969286047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1698807 + ... + 1726233.

It is an arithmetic number, because the mean of its divisors is an integer number (818314380).

Almost surely, 246969286040 is an apocalyptic number.

46969286040 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 46969286040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78558180480).

46969286040 is an abundant number, since it is smaller than the sum of its proper divisors (110147074920).

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

46969286040 is a wasteful number, since it uses less digits than its factorization.

46969286040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27582 (or 27575 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 46969286040 in words is "forty-six billion, nine hundred sixty-nine million, two hundred eighty-six thousand, forty".