Search a number
-
+
70026603617040 = 24357324131285981
BaseRepresentation
bin11111110110000010101101…
…10101010101101100010000
3100011221110220102000112122020
433323001112311111230100
533134303441011221130
6404533435543211440
720515153342450530
oct1773012665255420
9304843812015566
1070026603617040
1120349130174394
127a2b75ba46b80
13300c632541435
14134143cba54c0
1581684537de10
hex3fb056d55b10

70026603617040 has 160 divisors (see below), whose sum is σ = 248102099901696. Its totient is φ = 16005574563840.

The previous prime is 70026603617023. The next prime is 70026603617057. The reversal of 70026603617040 is 4071630662007.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70026603617023) and next prime (70026603617057).

It is a super-2 number, since 2×700266036170402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 70026603616983 and 70026603617001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53810850 + ... + 55096830.

Almost surely, 270026603617040 is an apocalyptic number.

70026603617040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

70026603617040 is an abundant number, since it is smaller than the sum of its proper divisors (178075496284656).

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

70026603617040 is a wasteful number, since it uses less digits than its factorization.

70026603617040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318417 (or 1318411 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 70026603617040 in words is "seventy trillion, twenty-six billion, six hundred three million, six hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 32413 64826 97239 129652 162065 194478 226891 259304 324130 388956 453782 486195 518608 648260 680673 777912 907564 972390 1134455 1285981 1296520 1361346 1555824 1815128 1944780 2268910 2571962 2593040 2722692 3403365 3630256 3857943 3889560 4537820 5143924 5445384 6429905 6806730 7715886 7779120 9001867 9075640 10287848 10890768 12859810 13613460 15431772 18003734 18151280 19289715 20575696 25719620 27005601 27226920 30863544 36007468 38579430 45009335 51439240 54011202 54453840 61727088 72014936 77158860 90018670 102878480 108022404 135028005 144029872 154317720 180037340 216044808 270056010 308635440 360074680 432089616 540112020 720149360 1080224040 2160448080 41682502153 83365004306 125047506459 166730008612 208412510765 250095012918 291777515071 333460017224 416825021530 500190025836 583555030142 625237532295 666920034448 833650043060 875332545213 1000380051672 1167110060284 1250475064590 1458887575355 1667300086120 1750665090426 2000760103344 2334220120568 2500950129180 2917775150710 3334600172240 3501330180852 4376662726065 4668440241136 5001900258360 5835550301420 7002660361704 8753325452130 10003800516720 11671100602840 14005320723408 17506650904260 23342201205680 35013301808520 70026603617040