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46734199681 = 1361972412521
BaseRepresentation
bin101011100001100100…
…110100101110000001
311110121222122022210111
4223201210310232001
51231202423342211
633245220031321
73243055100011
oct534144645601
9143558568714
1046734199681
1118902267a24
129083232541
13453a2a30c0
142394ad7c41
151337cea421
hexae1934b81

46734199681 has 32 divisors (see below), whose sum is σ = 51916600736. Its totient is φ = 41803776000.

The previous prime is 46734199667. The next prime is 46734199693. The reversal of 46734199681 is 18699143764.

It is the 88256-th star number.

It can be written as a sum of positive squares in 16 ways, for example, as 39352640625 + 7381559056 = 198375^2 + 85916^2 .

It is a 6-Lehmer number, since φ(46734199681) divides (46734199681-1)6.

It is a cyclic number.

It is not a de Polignac number, because 46734199681 - 27 = 46734199553 is a prime.

It is a super-2 number, since 2×467341996812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46734199601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18536701 + ... + 18539221.

It is an arithmetic number, because the mean of its divisors is an integer number (1622393773).

Almost surely, 246734199681 is an apocalyptic number.

It is an amenable number.

46734199681 is a deficient number, since it is larger than the sum of its proper divisors (5182401055).

46734199681 is a wasteful number, since it uses less digits than its factorization.

46734199681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933.

The product of its digits is 7838208, while the sum is 58.

The spelling of 46734199681 in words is "forty-six billion, seven hundred thirty-four million, one hundred ninety-nine thousand, six hundred eighty-one".

Divisors: 1 13 61 97 241 793 1261 2521 3133 5917 14701 23377 32773 76921 153781 191113 244537 303901 607561 1425997 1999153 3178981 7898293 14916757 18537961 37061221 58933417 193917841 481795873 766134421 3594938437 46734199681