Search a number
-
+
469837745442 = 2321361277331359
BaseRepresentation
bin1101101011001001000…
…00110000110100100010
31122220201210121102110100
412311210200300310202
530144211430323232
6555501313243230
745642005641212
oct6654440606442
91586653542410
10469837745442
1117129118219a
1277083863516
13353c8285c80
1418a51420242
15c34cb58c7c
hex6d64830d22

469837745442 has 192 divisors, whose sum is σ = 1124785509120. Its totient is φ = 140860684800.

The previous prime is 469837745431. The next prime is 469837745561. The reversal of 469837745442 is 244547738964.

469837745442 is a `hidden beast` number, since 4 + 6 + 9 + 83 + 7 + 7 + 4 + 544 + 2 = 666.

It is a super-3 number, since 3×4698377454423 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 469837745442.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1308740059 + ... + 1308740417.

It is an arithmetic number, because the mean of its divisors is an integer number (5858257860).

Almost surely, 2469837745442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469837745442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562392754560).

469837745442 is an abundant number, since it is smaller than the sum of its proper divisors (654947763678).

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

469837745442 is a wasteful number, since it uses less digits than its factorization.

469837745442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1046 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 469837745442 in words is "four hundred sixty-nine billion, eight hundred thirty-seven million, seven hundred forty-five thousand, four hundred forty-two".