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30269528800 = 2552714936277
BaseRepresentation
bin11100001100001101…
…000101101011100000
32220010112110101101021
4130030031011223200
5443442444410200
621523341015224
72121051515050
oct341415055340
986115411337
1030269528800
11119233a6005
125a49254514
132b151845b4
141672169560
15bc261941a
hex70c345ae0

30269528800 has 144 divisors (see below), whose sum is σ = 85021120800. Its totient is φ = 10308188160.

The previous prime is 30269528777. The next prime is 30269528813. The reversal of 30269528800 is 882596203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816262 + ... + 852538.

It is an arithmetic number, because the mean of its divisors is an integer number (590424450).

Almost surely, 230269528800 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 30269528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42510560400).

30269528800 is an abundant number, since it is smaller than the sum of its proper divisors (54751592000).

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

30269528800 is a wasteful number, since it uses less digits than its factorization.

30269528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36453 (or 36440 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 30269528800 in words is "thirty billion, two hundred sixty-nine million, five hundred twenty-eight thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 149 160 175 200 224 280 298 350 400 560 596 700 745 800 1043 1120 1192 1400 1490 2086 2384 2800 2980 3725 4172 4768 5215 5600 5960 7450 8344 10430 11920 14900 16688 20860 23840 26075 29800 33376 36277 41720 52150 59600 72554 83440 104300 119200 145108 166880 181385 208600 253939 290216 362770 417200 507878 580432 725540 834400 906925 1015756 1160864 1269695 1451080 1813850 2031512 2539390 2902160 3627700 4063024 5078780 5405273 5804320 6348475 7255400 8126048 10157560 10810546 12696950 14510800 20315120 21621092 25393900 27026365 29021600 37836911 40630240 43242184 50787800 54052730 75673822 86484368 101575600 108105460 135131825 151347644 172968736 189184555 203151200 216210920 270263650 302695288 378369110 432421840 540527300 605390576 756738220 864843680 945922775 1081054600 1210781152 1513476440 1891845550 2162109200 3026952880 3783691100 4324218400 6053905760 7567382200 15134764400 30269528800