Search a number
-
+
29362828152 = 23371913966179
BaseRepresentation
bin11011010110001010…
…010011001101111000
32210210100100012220210
4123112022103031320
5440113341000102
621253351151120
72056431630660
oct332612231570
983710305823
1029362828152
11114a8607429
1258356754a0
1329cc383038
1415c79871a0
15b6cc1736c
hex6d6293378

29362828152 has 128 divisors (see below), whose sum is σ = 88945920000. Its totient is φ = 7890535296.

The previous prime is 29362828147. The next prime is 29362828163. The reversal of 29362828152 is 25182826392.

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, 410599 + ... + 476777.

It is an arithmetic number, because the mean of its divisors is an integer number (694890000).

Almost surely, 229362828152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29362828152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44472960000).

29362828152 is an abundant number, since it is smaller than the sum of its proper divisors (59583091848).

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

29362828152 is a wasteful number, since it uses less digits than its factorization.

29362828152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66353 (or 66349 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 29362828152 in words is "twenty-nine billion, three hundred sixty-two million, eight hundred twenty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 139 152 168 228 266 278 399 417 456 532 556 798 834 973 1064 1112 1596 1668 1946 2641 2919 3192 3336 3892 5282 5838 7784 7923 10564 11676 15846 18487 21128 23352 31692 36974 55461 63384 66179 73948 110922 132358 147896 198537 221844 264716 397074 443688 463253 529432 794148 926506 1257401 1389759 1588296 1853012 2514802 2779518 3706024 3772203 5029604 5559036 7544406 8801807 9198881 10059208 11118072 15088812 17603614 18397762 26405421 27596643 30177624 35207228 36795524 52810842 55193286 64392167 70414456 73591048 105621684 110386572 128784334 174778739 193176501 211243368 220773144 257568668 349557478 386353002 515137336 524336217 699114956 772706004 1048672434 1223451173 1398229912 1545412008 2097344868 2446902346 3670353519 4194689736 4893804692 7340707038 9787609384 14681414076 29362828152