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29083497168 = 24311313748023
BaseRepresentation
bin11011000101100000…
…101111001011010000
32210001212201201211210
4123011200233023100
5434030333402133
621205532140120
72046500434635
oct330540571320
983055651753
1029083497168
111137496a980
125778007640
13298654102b
14159c83418c
15b5343c763
hex6c582f2d0

29083497168 has 160 divisors (see below), whose sum is σ = 86895009792. Its totient is φ = 8298201600.

The previous prime is 29083497143. The next prime is 29083497187. The reversal of 29083497168 is 86179438092.

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, 581605 + ... + 629627.

Almost surely, 229083497168 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 29083497168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43447504896).

29083497168 is an abundant number, since it is smaller than the sum of its proper divisors (57811512624).

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

29083497168 is a wasteful number, since it uses less digits than its factorization.

29083497168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48113 (or 48107 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 29083497168 in words is "twenty-nine billion, eighty-three million, four hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 37 44 48 62 66 74 88 93 111 124 132 148 176 186 222 248 264 296 341 372 407 444 496 528 592 682 744 814 888 1023 1147 1221 1364 1488 1628 1776 2046 2294 2442 2728 3256 3441 4092 4588 4884 5456 6512 6882 8184 9176 9768 12617 13764 16368 18352 19536 25234 27528 37851 48023 50468 55056 75702 96046 100936 144069 151404 192092 201872 288138 302808 384184 528253 576276 605616 768368 1056506 1152552 1488713 1584759 1776851 2113012 2305104 2977426 3169518 3553702 4226024 4466139 5330553 5954852 6339036 7107404 8452048 8932278 10661106 11909704 12678072 14214808 16375843 17864556 19545361 21322212 23819408 25356144 28429616 32751686 35729112 39090722 42644424 49127529 55082381 58636083 65503372 71458224 78181444 85288848 98255058 110164762 117272166 131006744 156362888 165247143 196510116 220329524 234544332 262013488 312725776 330494286 393020232 440659048 469088664 605906191 660988572 786040464 881318096 938177328 1211812382 1321977144 1817718573 2423624764 2643954288 3635437146 4847249528 7270874292 9694499056 14541748584 29083497168