Search a number
-
+
454182640717036 = 227112314792008421
BaseRepresentation
bin110011101000100111010001…
…0111101101000110011101100
32012120010102210010211211020011
41213101032202331220303230
5434012312022010421121
64245544342534503004
7164444420144013310
oct14721164275506354
92176112703754204
10454182640717036
1112179785a193300
1242b3377b504a64
131665731580b94a
1480227b298bb40
1537794ed1c67e1
hex19d13a2f68cec

454182640717036 has 144 divisors (see below), whose sum is σ = 1052588124758016. Its totient is φ = 167602537872000.

The previous prime is 454182640717021. The next prime is 454182640717097. The reversal of 454182640717036 is 630717046281454.

It is a super-2 number, since 2×4541826407170362 (a number of 30 digits) contains 22 as substring.

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, 41067895 + ... + 50940526.

It is an arithmetic number, because the mean of its divisors is an integer number (7309639755264).

Almost surely, 2454182640717036 is an apocalyptic number.

It is an amenable number.

454182640717036 is an abundant number, since it is smaller than the sum of its proper divisors (598405484040980).

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

454182640717036 is a wasteful number, since it uses less digits than its factorization.

454182640717036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92008532 (or 92008519 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 454182640717036 in words is "four hundred fifty-four trillion, one hundred eighty-two billion, six hundred forty million, seven hundred seventeen thousand, thirty-six".

Divisors: 1 2 4 7 11 14 22 28 31 44 47 62 77 94 121 124 154 188 217 242 308 329 341 434 484 517 658 682 847 868 1034 1316 1364 1457 1694 2068 2387 2914 3388 3619 3751 4774 5687 5828 7238 7502 9548 10199 11374 14476 15004 16027 20398 22748 26257 32054 39809 40796 52514 64108 79618 105028 112189 159236 176297 224378 352594 448756 705188 1234079 2468158 4936316 92008421 184016842 368033684 644058947 1012092631 1288117894 2024185262 2576235788 2852261051 4048370524 4324395787 5704522102 7084648417 8648791574 11133018941 11409044204 14169296834 17297583148 19965827357 22266037882 28338593668 30270770509 31374871561 39931654714 44532075764 47568353657 60541541018 62749743122 77931132587 79863309428 95136707314 121083082036 125499486244 134056269397 155862265174 190273414628 219624100927 268112538794 311724530348 332978475599 345123587171 439248201854 523251890227 536225077588 665956951198 690247174342 878496403708 938393885779 1046503780454 1331913902396 1380494348684 1474618963367 1876787771558 2093007560908 2415865110197 2949237926734 3662763231589 3753575543116 4831730220394 5898475853468 7325526463178 9663460440788 10322332743569 14651052926356 16220808597037 20644665487138 32441617194074 41289330974276 64883234388148 113545660179259 227091320358518 454182640717036