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46008676014 = 23723293162553
BaseRepresentation
bin101010110110010101…
…001010111010101110
311101202102102220102120
4222312111022322232
51223211210113024
633045221333410
73216065202450
oct526625127256
9141672386376
1046008676014
111856a775294
128b00267266
134452b98362
1423265d82d0
1512e4285479
hexab654aeae

46008676014 has 64 divisors (see below), whose sum is σ = 110110178304. Its totient is φ = 12530808576.

The previous prime is 46008676003. The next prime is 46008676033. The reversal of 46008676014 is 41067680064.

It is a super-2 number, since 2×460086760142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201762 + ... + 364314.

It is an arithmetic number, because the mean of its divisors is an integer number (1720471536).

Almost surely, 246008676014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46008676014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55055089152).

46008676014 is an abundant number, since it is smaller than the sum of its proper divisors (64101502290).

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

46008676014 is a wasteful number, since it uses less digits than its factorization.

46008676014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162881.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 46008676014 in words is "forty-six billion, eight million, six hundred seventy-six thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 293 322 483 586 879 966 1758 2051 4102 6153 6739 12306 13478 20217 40434 47173 94346 141519 162553 283038 325106 487659 975318 1137871 2275742 3413613 3738719 6827226 7477438 11216157 22432314 26171033 47628029 52342066 78513099 95256058 142884087 157026198 285768174 333396203 666792406 1000188609 1095444667 2000377218 2190889334 3286334001 6572668002 7668112669 15336225338 23004338007 46008676014