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469749947964 = 223114189519697
BaseRepresentation
bin1101101010111110100…
…01110101111000111100
31122220111200101211221220
412311133101311320330
530144021441313324
6555444455353340
745636561450663
oct6653721657074
91586450354856
10469749947964
111712466656a0
127705a382850
13353b30256bb
1418a438c7dda
15c3450b4b79
hex6d5f475e3c

469749947964 has 96 divisors (see below), whose sum is σ = 1225154391552. Its totient is φ = 138846720000.

The previous prime is 469749947957. The next prime is 469749948053.

469749947964 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4697499479642 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 469749947964.

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, 48437964 + ... + 48447660.

It is an arithmetic number, because the mean of its divisors is an integer number (12762024912).

Almost surely, 2469749947964 is an apocalyptic number.

469749947964 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 469749947964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612577195776).

469749947964 is an abundant number, since it is smaller than the sum of its proper divisors (755404443588).

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

469749947964 is a wasteful number, since it uses less digits than its factorization.

469749947964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18707 (or 18705 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 78.

The spelling of 469749947964 in words is "four hundred sixty-nine billion, seven hundred forty-nine million, nine hundred forty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 8951 9697 17902 19394 26853 29091 35804 38788 53706 58182 98461 106667 107412 116364 196922 213334 295383 320001 366991 393844 397577 426668 590766 640002 733982 795154 1100973 1181532 1192731 1280004 1467964 1590308 2201946 2385462 4036901 4373347 4403892 4770924 8073802 8746694 12110703 13120041 16147604 17493388 24221406 26240082 48442812 52480164 86797847 173595694 260393541 347191388 520787082 954776317 1041574164 1909552634 2864328951 3558711727 3819105268 5728657902 7117423454 10676135181 11457315804 14234846908 21352270362 39145828997 42704540724 78291657994 117437486991 156583315988 234874973982 469749947964