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428191045380 = 223257683497561
BaseRepresentation
bin1100011101100100010…
…11001101011100000100
31111221020100222212010200
412032302023031130010
524003413401423010
6524412552050500
742635654555460
oct6166213153404
91457210885120
10428191045380
1115565a75600a
126aba0393a30
13314bbcc9597
1416a202834a0
15b2117eacc0
hex63b22cd704

428191045380 has 144 divisors (see below), whose sum is σ = 1486571958144. Its totient is φ = 97728744960.

The previous prime is 428191045339. The next prime is 428191045393. The reversal of 428191045380 is 83540191824.

428191045380 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 9 + 104 + 538 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611800 + ... + 1109360.

It is an arithmetic number, because the mean of its divisors is an integer number (10323416376).

Almost surely, 2428191045380 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 428191045380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743285979072).

428191045380 is an abundant number, since it is smaller than the sum of its proper divisors (1058380912764).

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

428191045380 is a wasteful number, since it uses less digits than its factorization.

428191045380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498266 (or 498261 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 428191045380 in words is "four hundred twenty-eight billion, one hundred ninety-one million, forty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 683 1260 1366 2049 2732 3415 4098 4781 6147 6830 8196 9562 10245 12294 13660 14343 19124 20490 23905 24588 28686 30735 40980 43029 47810 57372 61470 71715 86058 95620 122940 143430 172116 215145 286860 430290 497561 860580 995122 1492683 1990244 2487805 2985366 3482927 4478049 4975610 5970732 6965854 7463415 8956098 9951220 10448781 13931708 14926830 17414635 17912196 20897562 22390245 29853660 31346343 34829270 41795124 44780490 52243905 62692686 69658540 89560980 104487810 125385372 156731715 208975620 313463430 339834163 626926860 679668326 1019502489 1359336652 1699170815 2039004978 2378839141 3058507467 3398341630 4078009956 4757678282 5097512445 6117014934 6796683260 7136517423 9515356564 10195024890 11894195705 12234029868 14273034846 15292537335 20390049780 21409552269 23788391410 28546069692 30585074670 35682587115 42819104538 47576782820 61170149340 71365174230 85638209076 107047761345 142730348460 214095522690 428191045380