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26457404928 = 293591372131
BaseRepresentation
bin11000101000111110…
…111111011000000000
32112021212021102112020
4120220332333120000
5413141043424203
620053202001440
71624432142223
oct305076773000
975255242466
1026457404928
1110247573a09
125164646280
1326584639b6
1413cdb5d5ba
15a4cb06153
hex628fbf600

26457404928 has 160 divisors (see below), whose sum is σ = 72235912320. Its totient is φ = 8602337280.

The previous prime is 26457404917. The next prime is 26457405061. The reversal of 26457404928 is 82940475462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12414423 + ... + 12416553.

It is an arithmetic number, because the mean of its divisors is an integer number (451474452).

Almost surely, 226457404928 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 26457404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36117956160).

26457404928 is an abundant number, since it is smaller than the sum of its proper divisors (45778507392).

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

26457404928 is a wasteful number, since it uses less digits than its factorization.

26457404928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 26457404928 in words is "twenty-six billion, four hundred fifty-seven million, four hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 137 177 192 236 256 274 354 384 411 472 512 548 708 768 822 944 1096 1416 1536 1644 1888 2131 2192 2832 3288 3776 4262 4384 5664 6393 6576 7552 8083 8524 8768 11328 12786 13152 15104 16166 17048 17536 22656 24249 25572 26304 30208 32332 34096 35072 45312 48498 51144 52608 64664 68192 70144 90624 96996 102288 105216 125729 129328 136384 193992 204576 210432 251458 258656 272768 291947 377187 387984 409152 502916 517312 545536 583894 754374 775968 818304 875841 1005832 1034624 1091072 1167788 1508748 1551936 1636608 1751682 2011664 2069248 2335576 3017496 3103872 3273216 3503364 4023328 4138496 4671152 6034992 6207744 7006728 8046656 9342304 12069984 12415488 14013456 16093312 17224873 18684608 24139968 28026912 32186624 34449746 37369216 48279936 51674619 56053824 64373248 68899492 74738432 96559872 103349238 112107648 137798984 149476864 193119744 206698476 224215296 275597968 413396952 448430592 551195936 826793904 1102391872 1653587808 2204783744 3307175616 4409567488 6614351232 8819134976 13228702464 26457404928