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10427411735620 = 22511194358013863
BaseRepresentation
bin1001011110111101001000…
…1011000010010001000100
31100220211222020211001221121
42113233102023002101010
52331320314401014440
634102141541523324
72124232661222005
oct227572213022104
940824866731847
1010427411735620
1133602710a0080
121204a9b113544
135a83ba867569
14280991ab11ac
1513139310234a
hex97bd22c2444

10427411735620 has 96 divisors (see below), whose sum is σ = 25730308961280. Its totient is φ = 3508678373760.

The previous prime is 10427411735617. The next prime is 10427411735647. The reversal of 10427411735620 is 2653711472401.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28827192 + ... + 29186671.

It is an arithmetic number, because the mean of its divisors is an integer number (268024051680).

Almost surely, 210427411735620 is an apocalyptic number.

10427411735620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10427411735620 is an abundant number, since it is smaller than the sum of its proper divisors (15302897225660).

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

10427411735620 is a wasteful number, since it uses less digits than its factorization.

10427411735620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58013945 (or 58013943 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 10427411735620 in words is "ten trillion, four hundred twenty-seven billion, four hundred eleven million, seven hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 43 44 55 76 86 95 110 172 190 209 215 220 380 418 430 473 817 836 860 946 1045 1634 1892 2090 2365 3268 4085 4180 4730 8170 8987 9460 16340 17974 35948 44935 89870 179740 58013863 116027726 232055452 290069315 580138630 638152493 1102263397 1160277260 1276304986 2204526794 2494596109 2552609972 3190762465 4409053588 4989192218 5511316985 6381524930 9978384436 11022633970 12124897367 12472980545 12763049860 22045267940 24249794734 24945961090 27440557199 47397326071 48499589468 49891922180 54881114398 60624486835 94794652142 109762228796 121248973670 137202785995 189589304284 236986630355 242497947340 274405571990 473973260710 521370586781 548811143980 947946521420 1042741173562 2085482347124 2606852933905 5213705867810 10427411735620