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427094680272 = 243132971332417
BaseRepresentation
bin1100011011100001101…
…00111010001011010000
31111211101221222201221120
412031300310322023100
523444142214232042
6524112105122240
742566542611651
oct6156064721320
91454357881846
10427094680272
111551478a3747
126a935189380
1331375b1c230
141695880d528
15b19a431dec
hex6370d3a2d0

427094680272 has 160 divisors (see below), whose sum is σ = 1246487719680. Its totient is φ = 125094789120.

The previous prime is 427094680253. The next prime is 427094680291. The reversal of 427094680272 is 272086490724.

It is an interprime number because it is at equal distance from previous prime (427094680253) and next prime (427094680291).

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, 1118608 + ... + 1451024.

It is an arithmetic number, because the mean of its divisors is an integer number (7790548248).

Almost surely, 2427094680272 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 427094680272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623243859840).

427094680272 is an abundant number, since it is smaller than the sum of its proper divisors (819393039408).

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

427094680272 is a wasteful number, since it uses less digits than its factorization.

427094680272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332541 (or 332535 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 427094680272 in words is "four hundred twenty-seven billion, ninety-four million, six hundred eighty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 71 78 87 104 116 142 156 174 208 213 232 284 312 348 377 426 464 568 624 696 754 852 923 1131 1136 1392 1508 1704 1846 2059 2262 2769 3016 3408 3692 4118 4524 5538 6032 6177 7384 8236 9048 11076 12354 14768 16472 18096 22152 24708 26767 32944 44304 49416 53534 80301 98832 107068 160602 214136 321204 332417 428272 642408 664834 997251 1284816 1329668 1994502 2659336 3989004 4321421 5318672 7978008 8642842 9640093 12964263 15956016 17285684 19280186 23601607 25928526 28920279 34571368 38560372 47203214 51857052 57840558 69142736 70804821 77120744 94406428 103714104 115681116 125321209 141609642 154241488 188812856 207428208 231362232 250642418 283219284 306820891 375963627 377625712 462724464 501284836 566438568 613641782 684446603 751927254 920462673 1002569672 1132877136 1227283564 1368893206 1503854508 1840925346 2005139344 2053339809 2454567128 2737786412 3007709016 3681850692 4106679618 4909134256 5475572824 6015418032 7363701384 8213359236 8897805839 10951145648 14727402768 16426718472 17795611678 26693417517 32853436944 35591223356 53386835034 71182446712 106773670068 142364893424 213547340136 427094680272