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428621580700 = 2252234725115797
BaseRepresentation
bin1100011110010111101…
…01100100100110011100
31111222100101010022120021
412033023311210212130
524010304111040300
6524523412001524
742652433215465
oct6171365444634
91458311108507
10428621580700
11155860787625
126b0a06002a4
133155a26c701
1416a61515d6c
15b2394e1d1a
hex63cbd6499c

428621580700 has 144 divisors (see below), whose sum is σ = 995210302464. Its totient is φ = 159855520000.

The previous prime is 428621580683. The next prime is 428621580731. The reversal of 428621580700 is 7085126824.

It is a happy number.

It is a super-2 number, since 2×4286215807002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 27125202 + ... + 27140998.

It is an arithmetic number, because the mean of its divisors is an integer number (6911182656).

Almost surely, 2428621580700 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 428621580700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497605151232).

428621580700 is an abundant number, since it is smaller than the sum of its proper divisors (566588721764).

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

428621580700 is a wasteful number, since it uses less digits than its factorization.

428621580700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16132 (or 16125 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 428621580700 in words is "four hundred twenty-eight billion, six hundred twenty-one million, five hundred eighty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 47 50 92 94 100 115 188 230 235 251 460 470 502 575 940 1004 1081 1150 1175 1255 2162 2300 2350 2510 4324 4700 5020 5405 5773 6275 10810 11546 11797 12550 15797 21620 23092 23594 25100 27025 28865 31594 47188 54050 57730 58985 63188 78985 108100 115460 117970 144325 157970 235940 271331 288650 294925 315940 363331 394925 542662 577300 589850 726662 742459 789850 1085324 1179700 1356655 1453324 1484918 1579700 1816655 2713310 2969836 3633310 3712295 3965047 5426620 6783275 7266620 7424590 7930094 9083275 13566550 14849180 15860188 17076557 18166550 18561475 19825235 27133100 34153114 36333100 37122950 39650470 68306228 74245900 79300940 85382785 91196081 99126175 170765570 182392162 186357209 198252350 341531140 364784324 372714418 396504700 426913925 455980405 745428836 853827850 911960810 931786045 1707655700 1823921620 1863572090 2279902025 3727144180 4286215807 4559804050 4658930225 8572431614 9119608100 9317860450 17144863228 18635720900 21431079035 42862158070 85724316140 107155395175 214310790350 428621580700