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42268709376 = 293252317539
BaseRepresentation
bin100111010111011010…
…010101001000000000
311001002210000220200200
4213113122111020000
51143031242200001
631230141045200
73024313046565
oct472732251000
9131083026620
1042268709376
1116a20647a73
128237856800
133ca80c014a
14208da1286c
151175c77086
hex9d7695200

42268709376 has 120 divisors (see below), whose sum is σ = 122230577040. Its totient is φ = 14061828096.

The previous prime is 42268709297. The next prime is 42268709383. The reversal of 42268709376 is 67390786224.

42268709376 is a `hidden beast` number, since 4 + 2 + 268 + 7 + 0 + 9 + 376 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2401215 + ... + 2418753.

It is an arithmetic number, because the mean of its divisors is an integer number (1018588142).

Almost surely, 242268709376 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 42268709376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61115288520).

42268709376 is an abundant number, since it is smaller than the sum of its proper divisors (79961867664).

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

42268709376 is a wasteful number, since it uses less digits than its factorization.

42268709376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18086 (or 18067 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 42268709376 in words is "forty-two billion, two hundred sixty-eight million, seven hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 523 576 768 1046 1152 1536 1569 2092 2304 3138 4184 4608 4707 6276 8368 9414 12552 16736 17539 18828 25104 33472 35078 37656 50208 52617 66944 70156 75312 100416 105234 133888 140312 150624 157851 200832 210468 267776 280624 301248 315702 401664 420936 561248 602496 631404 803328 841872 1122496 1204992 1262808 1683744 2244992 2409984 2525616 3367488 4489984 5051232 6734976 8979968 9172897 10102464 13469952 18345794 20204928 26939904 27518691 36691588 40409856 55037382 73383176 80819712 82556073 110074764 146766352 165112146 220149528 293532704 330224292 440299056 587065408 660448584 880598112 1174130816 1320897168 1761196224 2348261632 2641794336 3522392448 4696523264 5283588672 7044784896 10567177344 14089569792 21134354688 42268709376