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428372479044 = 223513113924203
BaseRepresentation
bin1100011101111001111…
…11010100110001000100
31111221201000101122100000
412032330333110301010
524004301323312134
6524442552521300
742643316664546
oct6167477246104
91457630348300
10428372479044
11155743107894
126b0310b0230
133151a782b93
1416a3a3d1696
15b2226d8e99
hex63bcfd4c44

428372479044 has 144 divisors (see below), whose sum is σ = 1139694716160. Its totient is φ = 140675577120.

The previous prime is 428372479037. The next prime is 428372479049. The reversal of 428372479044 is 440974273824.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (428372479049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17687047 + ... + 17711249.

It is an arithmetic number, because the mean of its divisors is an integer number (7914546640).

Almost surely, 2428372479044 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 428372479044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569847358080).

428372479044 is an abundant number, since it is smaller than the sum of its proper divisors (711322237116).

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

428372479044 is a wasteful number, since it uses less digits than its factorization.

428372479044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24492 (or 24478 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 428372479044 in words is "four hundred twenty-eight billion, three hundred seventy-two million, four hundred seventy-nine thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 139 162 243 262 278 324 393 417 486 524 556 786 834 972 1179 1251 1572 1668 2358 2502 3537 3753 4716 5004 7074 7506 10611 11259 14148 15012 18209 21222 22518 24203 31833 33777 36418 42444 45036 48406 54627 63666 67554 72609 72836 96812 109254 127332 135108 145218 163881 217827 218508 290436 327762 435654 491643 653481 655524 871308 983286 1306962 1474929 1960443 1966572 2613924 2949858 3170593 3364217 3920886 4424787 5881329 5899716 6341186 6728434 7841772 8849574 9511779 10092651 11762658 12682372 13456868 17699148 19023558 20185302 23525316 28535337 30277953 38047116 40370604 57070674 60555906 85606011 90833859 114141348 121111812 171212022 181667718 256818033 272501577 342424044 363335436 440712427 513636066 545003154 770454099 817504731 881424854 1027272132 1090006308 1322137281 1540908198 1635009462 1762849708 2644274562 3081816396 3270018924 3966411843 5288549124 7932823686 11899235529 15865647372 23798471058 35697706587 47596942116 71395413174 107093119761 142790826348 214186239522 428372479044