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29721249168 = 243131912719739
BaseRepresentation
bin11011101011100001…
…100100010110010000
32211201022202220010020
4123223201210112100
5441332114433133
621353113303440
72101343310132
oct335341442620
984638686106
1029721249168
1111671963446
125915704b80
132a586c7190
14161d407052
15b8e4160b3
hex6eb864590

29721249168 has 160 divisors (see below), whose sum is σ = 87727718400. Its totient is φ = 8595030528.

The previous prime is 29721249167. The next prime is 29721249191. The reversal of 29721249168 is 86194212792.

It is a self number, because there is not a number n which added to its sum of digits gives 29721249168.

It is not an unprimeable number, because it can be changed into a prime (29721249161) 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, 1495843 + ... + 1515581.

It is an arithmetic number, because the mean of its divisors is an integer number (548298240).

Almost surely, 229721249168 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 29721249168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43863859200).

29721249168 is an abundant number, since it is smaller than the sum of its proper divisors (58006469232).

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

29721249168 is a wasteful number, since it uses less digits than its factorization.

29721249168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19909 (or 19903 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The spelling of 29721249168 in words is "twenty-nine billion, seven hundred twenty-one million, two hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 127 152 156 208 228 247 254 304 312 381 456 494 508 624 741 762 912 988 1016 1482 1524 1651 1976 2032 2413 2964 3048 3302 3952 4826 4953 5928 6096 6604 7239 9652 9906 11856 13208 14478 19304 19739 19812 26416 28956 31369 38608 39478 39624 57912 59217 62738 78956 79248 94107 115824 118434 125476 157912 188214 236868 250952 256607 315824 375041 376428 473736 501904 513214 750082 752856 769821 947472 1026428 1125123 1500164 1505712 1539642 2052856 2250246 2506853 3000328 3079284 4105712 4500492 4875533 5013706 6000656 6158568 7520559 9000984 9751066 10027412 12317136 14626599 15041118 18001968 19502132 20054824 29253198 30082236 32589089 39004264 40109648 47630207 58506396 60164472 65178178 78008528 95260414 97767267 117012792 120328944 130356356 142890621 190520828 195534534 234025584 260712712 285781242 381041656 391069068 521425424 571562484 619192691 762083312 782138136 1143124968 1238385382 1564276272 1857578073 2286249936 2476770764 3715156146 4953541528 7430312292 9907083056 14860624584 29721249168