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70227112056400 = 24521322958974733
BaseRepresentation
bin11111111011111000001100…
…00100010101011001010000
3100012122122110012000121211001
433331330012010111121100
533201100111141301100
6405205520115031344
720535512206201165
oct1775740604253120
9305578405017731
1070227112056400
1120416172a36602
127a6259989b554
133025507cabab0
14134b0205d806c
1581bb7d286d6a
hex3fdf06115650

70227112056400 has 120 divisors (see below), whose sum is σ = 182492596384280. Its totient is φ = 25816778680320.

The previous prime is 70227112056373. The next prime is 70227112056443. The reversal of 70227112056400 is 465021172207.

70227112056400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1255681607184 + 68971430449216 = 1120572^2 + 8304904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 70227112056400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28296567 + ... + 30678166.

Almost surely, 270227112056400 is an apocalyptic number.

It is an amenable number.

70227112056400 is an abundant number, since it is smaller than the sum of its proper divisors (112265484327880).

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

70227112056400 is a wasteful number, since it uses less digits than its factorization.

70227112056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58974993 (or 58974982 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 70227112056400 in words is "seventy trillion, two hundred twenty-seven billion, one hundred twelve million, fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 229 260 325 400 458 520 650 916 1040 1145 1300 1832 2290 2600 2977 3664 4580 5200 5725 5954 9160 11450 11908 14885 18320 22900 23816 29770 45800 47632 59540 74425 91600 119080 148850 238160 297700 595400 1190800 58974733 117949466 235898932 294873665 471797864 589747330 766671529 943595728 1179494660 1474368325 1533343058 2358989320 2948736650 3066686116 3833357645 4717978640 5897473300 6133372232 7666715290 11794946600 12266744464 13505213857 15333430580 19166788225 23589893200 27010427714 30666861160 38333576450 54020855428 61333722320 67526069285 76667152900 108041710856 135052138570 153334305800 175567780141 216083421712 270104277140 306668611600 337630346425 351135560282 540208554280 675260692850 702271120564 877838900705 1080417108560 1350521385700 1404542241128 1755677801410 2701042771400 2809084482256 3511355602820 4389194503525 5402085542800 7022711205640 8778389007050 14045422411280 17556778014100 35113556028200 70227112056400