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4695995964 = 2231126748271
BaseRepresentation
bin1000101111110011…
…10011011000111100
3110010021100022102110
410113321303120330
534104133332324
62053551254020
7224241210222
oct42771633074
913107308373
104695995964
111a9a849300
12ab081a310
1359ab8b44a
14327968b12
151c7406329
hex117e7363c

4695995964 has 72 divisors (see below), whose sum is σ = 12224015104. Its totient is φ = 1401760800.

The previous prime is 4695995963. The next prime is 4695995999.

It is a happy number.

4695995964 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4695995895 and 4695995904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4695995963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73149 + ... + 121419.

Almost surely, 24695995964 is an apocalyptic number.

4695995964 is a gapful number since it is divisible by the number (44) 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 4695995964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112007552).

4695995964 is an abundant number, since it is smaller than the sum of its proper divisors (7528019140).

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

4695995964 is a wasteful number, since it uses less digits than its factorization.

4695995964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48367 (or 48354 counting only the distinct ones).

The product of its digits is 94478400, while the sum is 66.

The square root of 4695995964 is about 68527.3373479519. The cubic root of 4695995964 is about 1674.5928721953.

The spelling of 4695995964 in words is "four billion, six hundred ninety-five million, nine hundred ninety-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 121 132 134 201 242 268 363 402 484 726 737 804 1452 1474 2211 2948 4422 8107 8844 16214 24321 32428 48271 48642 96542 97284 144813 193084 289626 530981 579252 1061962 1592943 2123924 3185886 3234157 5840791 6371772 6468314 9702471 11681582 12936628 17522373 19404942 23363164 35044746 35575727 38809884 70089492 71151454 106727181 142302908 213454362 391332997 426908724 782665994 1173998991 1565331988 2347997982 4695995964