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64069496046 = 23310129340093
BaseRepresentation
bin111011101010110101…
…101110110011101110
320010101010001121212000
4323222311232303232
52022203242333141
645233315353130
74425462505443
oct735265566356
9203333047760
1064069496046
1125198618736
12105008b27a6
1360708a1c0a
14315b1379ca
1519eeb545b6
hexeead6ecee

64069496046 has 64 divisors (see below), whose sum is σ = 144280664640. Its totient is φ = 21072355200.

The previous prime is 64069496033. The next prime is 64069496137.

64069496046 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64069495983 and 64069496001.

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, 1577976 + ... + 1618068.

It is an arithmetic number, because the mean of its divisors is an integer number (2254385385).

Almost surely, 264069496046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64069496046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72140332320).

64069496046 is an abundant number, since it is smaller than the sum of its proper divisors (80211168594).

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

64069496046 is a wasteful number, since it uses less digits than its factorization.

64069496046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40498 (or 40492 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 64069496046 in words is "sixty-four billion, sixty-nine million, four hundred ninety-six thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 101 202 293 303 586 606 879 909 1758 1818 2637 2727 5274 5454 7911 15822 29593 40093 59186 80186 88779 120279 177558 240558 266337 360837 532674 721674 799011 1082511 1598022 2165022 4049393 8098786 11747249 12148179 23494498 24296358 35241747 36444537 70483494 72889074 105725241 109333611 211450482 218667222 317175723 634351446 1186472149 2372944298 3559416447 7118832894 10678249341 21356498682 32034748023 64069496046