Search a number
-
+
45142839672 = 2337617360343
BaseRepresentation
bin101010000010101110…
…010001000101111000
311022112002012212020220
4222002232101011320
51214423031332142
632423251420040
73155452543320
oct520256210570
9138462185226
1045142839672
1118165a57667
1288ba2b4620
1343456a3b68
142283612280
1512932562ec
hexa82b91178

45142839672 has 128 divisors (see below), whose sum is σ = 132891970560. Its totient is φ = 12512517120.

The previous prime is 45142839671. The next prime is 45142839673. The reversal of 45142839672 is 27693824154.

It is an interprime number because it is at equal distance from previous prime (45142839671) and next prime (45142839673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45142839671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717933 + ... + 778275.

It is an arithmetic number, because the mean of its divisors is an integer number (1038218520).

Almost surely, 245142839672 is an apocalyptic number.

45142839672 is a gapful number since it is divisible by the number (42) 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 45142839672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66445985280).

45142839672 is an abundant number, since it is smaller than the sum of its proper divisors (87749130888).

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

45142839672 is a wasteful number, since it uses less digits than its factorization.

45142839672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60493 (or 60489 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 45142839672 in words is "forty-five billion, one hundred forty-two million, eight hundred thirty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 73 84 122 146 168 183 219 244 292 366 427 438 488 511 584 732 854 876 1022 1281 1464 1533 1708 1752 2044 2562 3066 3416 4088 4453 5124 6132 8906 10248 12264 13359 17812 26718 31171 35624 53436 60343 62342 93513 106872 120686 124684 181029 187026 241372 249368 362058 374052 422401 482744 724116 748104 844802 1267203 1448232 1689604 2534406 3379208 3680923 4405039 5068812 7361846 8810078 10137624 11042769 13215117 14723692 17620156 22085538 25766461 26430234 29447384 30835273 35240312 44171076 51532922 52860468 61670546 77299383 88342152 92505819 103065844 105720936 123341092 154598766 185011638 206131688 246682184 268707379 309197532 370023276 537414758 618395064 740046552 806122137 1074829516 1612244274 1880951653 2149659032 3224488548 3761903306 5642854959 6448977096 7523806612 11285709918 15047613224 22571419836 45142839672