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46064642460 = 22357910699091
BaseRepresentation
bin101010111001101010…
…101010100110011100
311101220022202021221220
4222321222222212130
51223320022024320
633054541053340
73220345000104
oct527152524634
9141808667856
1046064642460
1118599320751
128b16b57250
1344616623b5
14232dc06204
1512e913ce40
hexab9aaa99c

46064642460 has 96 divisors (see below), whose sum is σ = 130750233600. Its totient is φ = 12115733760.

The previous prime is 46064642413. The next prime is 46064642509. The reversal of 46064642460 is 6424646064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5062515 + ... + 5071605.

It is an arithmetic number, because the mean of its divisors is an integer number (1361981600).

Almost surely, 246064642460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46064642460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65375116800).

46064642460 is an abundant number, since it is smaller than the sum of its proper divisors (84685591140).

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

46064642460 is a wasteful number, since it uses less digits than its factorization.

46064642460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10251 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 46064642460 in words is "forty-six billion, sixty-four million, six hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1069 1185 1580 2138 2370 3207 4276 4740 5345 6414 9091 10690 12828 16035 18182 21380 27273 32070 36364 45455 54546 64140 84451 90910 109092 136365 168902 181820 253353 272730 337804 422255 506706 545460 718189 844510 1013412 1266765 1436378 1689020 2154567 2533530 2872756 3590945 4309134 5067060 7181890 8618268 9718279 10772835 14363780 19436558 21545670 29154837 38873116 43091340 48591395 58309674 97182790 116619348 145774185 194365580 291548370 583096740 767744041 1535488082 2303232123 3070976164 3838720205 4606464246 7677440410 9212928492 11516160615 15354880820 23032321230 46064642460