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29986772480 = 29575331573
BaseRepresentation
bin11011111011010110…
…011101011000000000
32212101211101212121222
4123323112131120000
5442403103204410
621435320334212
72111046234440
oct337326353000
985354355558
1029986772480
1111798829aa5
12598a614368
132a9b713472
1416467a4120
15ba78b4955
hex6fb59d600

29986772480 has 160 divisors (see below), whose sum is σ = 83722123584. Its totient is φ = 10086875136.

The previous prime is 29986772449. The next prime is 29986772489. The reversal of 29986772480 is 8427768992.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29986772489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933974 + ... + 965546.

Almost surely, 229986772480 is an apocalyptic number.

29986772480 is a gapful number since it is divisible by the number (20) 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 29986772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41861061792).

29986772480 is an abundant number, since it is smaller than the sum of its proper divisors (53735351104).

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

29986772480 is an equidigital number, since it uses as much as digits as its factorization.

29986772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31656 (or 31640 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 62.

The spelling of 29986772480 in words is "twenty-nine billion, nine hundred eighty-six million, seven hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 212 224 256 265 280 320 371 424 448 512 530 560 640 742 848 896 1060 1120 1280 1484 1696 1792 1855 2120 2240 2560 2968 3392 3584 3710 4240 4480 5936 6784 7420 8480 8960 11872 13568 14840 16960 17920 23744 27136 29680 31573 33920 47488 59360 63146 67840 94976 118720 126292 135680 157865 189952 221011 237440 252584 315730 442022 474880 505168 631460 884044 949760 1010336 1105055 1262920 1673369 1768088 2020672 2210110 2525840 3346738 3536176 4041344 4420220 5051680 6693476 7072352 8082688 8366845 8840440 10103360 11713583 13386952 14144704 16165376 16733690 17680880 20206720 23427166 26773904 28289408 33467380 35361760 40413440 46854332 53547808 56578816 58567915 66934760 70723520 80826880 93708664 107095616 113157632 117135830 133869520 141447040 187417328 214191232 234271660 267739040 282894080 374834656 428382464 468543320 535478080 565788160 749669312 856764928 937086640 1070956160 1499338624 1874173280 2141912320 2998677248 3748346560 4283824640 5997354496 7496693120 14993386240 29986772480