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40126672896 = 21232326173
BaseRepresentation
bin100101010111101111…
…000111000000000000
310211120111102012001020
4211113233013000000
51124134412013041
630233421505440
72620243043352
oct452757070000
9124514365036
1040126672896
1116021508292
12793a412280
133a263a483b
141d293430d2
15109cba9866
hex957bc7000

40126672896 has 156 divisors (see below), whose sum is σ = 111863569608. Its totient is φ = 12791939072.

The previous prime is 40126672853. The next prime is 40126672909. The reversal of 40126672896 is 69827662104.

It is a super-2 number, since 2×401266728962 (a number of 22 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 11 ways as a sum of consecutive naturals, for example, 6497266 + ... + 6503438.

Almost surely, 240126672896 is an apocalyptic number.

40126672896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40126672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55931784804).

40126672896 is an abundant number, since it is smaller than the sum of its proper divisors (71736896712).

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

40126672896 is an equidigital number, since it uses as much as digits as its factorization.

40126672896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246 (or 6201 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 40126672896 in words is "forty billion, one hundred twenty-six million, six hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 529 552 736 768 1024 1058 1104 1472 1536 1587 2048 2116 2208 2944 3072 3174 4096 4232 4416 5888 6144 6173 6348 8464 8832 11776 12288 12346 12696 16928 17664 18519 23552 24692 25392 33856 35328 37038 47104 49384 50784 67712 70656 74076 94208 98768 101568 135424 141312 141979 148152 197536 203136 270848 282624 283958 296304 395072 406272 425937 541696 567916 592608 790144 812544 851874 1083392 1135832 1185216 1580288 1625088 1703748 2166784 2271664 2370432 3160576 3250176 3265517 3407496 4543328 4740864 6321152 6500352 6531034 6814992 9086656 9481728 9796551 12642304 13062068 13629984 18173312 18963456 19593102 25284608 26124136 27259968 36346624 37926912 39186204 52248272 54519936 72693248 75853824 78372408 104496544 109039872 145386496 156744816 208993088 218079744 290772992 313489632 417986176 436159488 581545984 626979264 835972352 872318976 1253958528 1671944704 1744637952 2507917056 3343889408 5015834112 6687778816 10031668224 13375557632 20063336448 40126672896