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10988361945 = 32511471273719
BaseRepresentation
bin10100011101111010…
…10001100011011001
31001100210112121211100
422032331101203121
5140001010040240
65014210422013
7536205351441
oct121675214331
931323477740
1010988361945
114729709a70
122167b91909
1310616b1322
14763521121
15444a40e30
hex28ef518d9

10988361945 has 96 divisors (see below), whose sum is σ = 21392916480. Its totient is φ = 5171886720.

The previous prime is 10988361919. The next prime is 10988361953. The reversal of 10988361945 is 54916388901.

10988361945 is a `hidden beast` number, since 10 + 9 + 8 + 8 + 3 + 619 + 4 + 5 = 666.

It is not a de Polignac number, because 10988361945 - 27 = 10988361817 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10988361891 and 10988361900.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2952796 + ... + 2956514.

It is an arithmetic number, because the mean of its divisors is an integer number (222842880).

Almost surely, 210988361945 is an apocalyptic number.

10988361945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10988361945 is a deficient number, since it is larger than the sum of its proper divisors (10404554535).

10988361945 is a wasteful number, since it uses less digits than its factorization.

10988361945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10988361945 in words is "ten billion, nine hundred eighty-eight million, three hundred sixty-one thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 47 55 99 127 141 165 235 381 423 495 517 635 705 1143 1397 1551 1905 2115 2585 3719 4191 4653 5715 5969 6985 7755 11157 12573 17907 18595 20955 23265 29845 33471 40909 53721 55785 62865 65659 89535 122727 167355 174793 196977 204545 268605 328295 368181 472313 524379 590931 613635 873965 984885 1416939 1573137 1840905 1922723 2361565 2621895 2954655 4250817 5195443 5768169 7084695 7865685 9613615 15586329 17304507 21254085 22198711 25977215 28840845 46758987 66596133 77931645 86522535 110993555 199788399 233794935 244185821 332980665 732557463 998941995 1220929105 2197672389 3662787315 10988361945