Search a number
-
+
29337451152 = 24331109277653
BaseRepresentation
bin11011010100101001…
…011111101010010000
32210201120120221012220
4123110221133222100
5440040341414102
621251043221040
72056003135362
oct332451375220
983646527186
1029337451152
11114952542a9
125829077780
1329c7039369
1415c445cd32
15b6a8a31bc
hex6d4a5fa90

29337451152 has 160 divisors (see below), whose sum is σ = 79357301760. Its totient is φ = 9328711680.

The previous prime is 29337451151. The next prime is 29337451159. The reversal of 29337451152 is 25115473392.

It is a super-2 number, since 2×293374511522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29337451151) 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, 44926858 + ... + 44927510.

It is an arithmetic number, because the mean of its divisors is an integer number (495983136).

Almost surely, 229337451152 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 29337451152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39678650880).

29337451152 is an abundant number, since it is smaller than the sum of its proper divisors (50019850608).

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

29337451152 is a wasteful number, since it uses less digits than its factorization.

29337451152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1075 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The spelling of 29337451152 in words is "twenty-nine billion, three hundred thirty-seven million, four hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 109 124 186 218 248 277 327 372 436 496 554 653 654 744 831 872 1108 1306 1308 1488 1662 1744 1959 2216 2612 2616 3324 3379 3918 4432 5224 5232 6648 6758 7836 8587 10137 10448 13296 13516 15672 17174 20243 20274 25761 27032 30193 31344 34348 40486 40548 51522 54064 60386 60729 68696 71177 80972 81096 90579 103044 120772 121458 137392 142354 161944 162192 180881 181158 206088 213531 241544 242916 284708 323888 361762 362316 412176 427062 483088 485832 542643 569416 723524 724632 854124 935983 971664 1085286 1138832 1447048 1449264 1708248 1871966 2170572 2206487 2807949 2894096 3416496 3743932 4341144 4412974 5607311 5615898 6619461 7487864 8682288 8825948 11214622 11231796 13238922 14975728 16821933 17651896 19716029 22429244 22463592 26477844 33643866 35303792 39432058 44858488 44927184 52955688 59148087 67287732 78864116 89716976 105911376 118296174 134575464 157728232 236592348 269150928 315456464 473184696 611196899 946369392 1222393798 1833590697 2444787596 3667181394 4889575192 7334362788 9779150384 14668725576 29337451152