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611429650104 = 2337132267123493
BaseRepresentation
bin10001110010111000000…
…11000000111010111000
32011110012120202102212110
420321130003000322320
540004201442300404
61144515323212320
762113540163040
oct10713403007270
92143176672773
10611429650104
11216340108919
129a5ba6770a0
13458718a8090
1421844236720
1510d884cab89
hex8e5c0c0eb8

611429650104 has 128 divisors (see below), whose sum is σ = 1882167114240. Its totient is φ = 161183734272.

The previous prime is 611429650103. The next prime is 611429650199. The reversal of 611429650104 is 401056924116.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611429650103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4889382 + ... + 5012874.

It is an arithmetic number, because the mean of its divisors is an integer number (14704430580).

Almost surely, 2611429650104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611429650104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941083557120).

611429650104 is an abundant number, since it is smaller than the sum of its proper divisors (1270737464136).

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

611429650104 is a wasteful number, since it uses less digits than its factorization.

611429650104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125789 (or 125785 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 611429650104 in words is "six hundred eleven billion, four hundred twenty-nine million, six hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 2267 4534 6801 9068 13602 15869 18136 27204 29471 31738 47607 54408 58942 63476 88413 95214 117884 123493 126952 176826 190428 206297 235768 246986 353652 370479 380856 412594 493972 618891 707304 740958 825188 864451 987944 1237782 1481916 1605409 1650376 1728902 2475564 2593353 2963832 3210818 3457804 4816227 4951128 5186706 6421636 6915608 9632454 10373412 11237863 12843272 19264908 20746824 22475726 33713589 38529816 44951452 67427178 89902904 134854356 269708712 279958631 559917262 839875893 1119834524 1679751786 1959710417 2239669048 3359503572 3639462203 3919420834 5879131251 6719007144 7278924406 7838841668 10918386609 11758262502 14557848812 15677683336 21836773218 23516525004 25476235421 29115697624 43673546436 47033050008 50952470842 76428706263 87347092872 101904941684 152857412526 203809883368 305714825052 611429650104