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293147009430 = 2351119208922381
BaseRepresentation
bin1000100010000001110…
…11000110000110010110
31001000122220211000222120
410101000323012012112
514300331113300210
6342400405440410
730115312316112
oct4210073060626
91030586730876
10293147009430
11103360932030
1248992410106
132184a1185c2
141028cd32742
15795ac33270
hex4440ec6196

293147009430 has 128 divisors (see below), whose sum is σ = 808330406400. Its totient is φ = 67290393600.

The previous prime is 293147009423. The next prime is 293147009437. The reversal of 293147009430 is 34900741392.

It is an interprime number because it is at equal distance from previous prime (293147009423) and next prime (293147009437).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293147009437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13086840 + ... + 13109220.

It is an arithmetic number, because the mean of its divisors is an integer number (6315081300).

Almost surely, 2293147009430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293147009430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404165203200).

293147009430 is an abundant number, since it is smaller than the sum of its proper divisors (515183396970).

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

293147009430 is a wasteful number, since it uses less digits than its factorization.

293147009430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510.

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 293147009430 in words is "two hundred ninety-three billion, one hundred forty-seven million, nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2089 2090 3135 4178 6267 6270 10445 12534 20890 22381 22979 31335 39691 44762 45958 62670 67143 68937 79382 111905 114895 119073 134286 137874 198455 223810 229790 238146 246191 335715 344685 396910 425239 436601 492382 595365 671430 689370 738573 850478 873202 1190730 1230955 1275717 1309803 1477146 2126195 2183005 2461910 2551434 2619606 3692865 4252390 4366010 4677629 6378585 6549015 7385730 9355258 12757170 13098030 14032887 23388145 28065774 46753909 46776290 70164435 93507818 140261727 140328870 233769545 280523454 467539090 514292999 701308635 888324271 1028585998 1402617270 1542878997 1776648542 2571464995 2664972813 3085757994 4441621355 5142929990 5329945626 7714394985 8883242710 9771566981 13324864065 15428789970 19543133962 26649728130 29314700943 48857834905 58629401886 97715669810 146573504715 293147009430