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60041000656 = 24721317346529
BaseRepresentation
bin110111111010101110…
…001111011011010000
312201222100201212002001
4313322232033123100
51440430444010111
643325451003344
74223605041100
oct677256173320
9181870655061
1060041000656
11235106414aa
12b777739554
13587b0b4330
142c980c7200
1518661511c1
hexdfab8f6d0

60041000656 has 120 divisors (see below), whose sum is σ = 154304264520. Its totient is φ = 22355214336.

The previous prime is 60041000651. The next prime is 60041000659. The reversal of 60041000656 is 65600014006.

60041000656 is a nontrivial binomial coefficient, being equal to C(346529, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 7607328400 + 52433672256 = 87220^2 + 228984^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60041000651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 346528.

It is an arithmetic number, because the mean of its divisors is an integer number (1285868871).

Almost surely, 260041000656 is an apocalyptic number.

60041000656 is the 346528-th triangular number.

60041000656 is the 115510-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60041000656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77152132260).

60041000656 is an abundant number, since it is smaller than the sum of its proper divisors (94263263864).

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

60041000656 is a wasteful number, since it uses less digits than its factorization.

60041000656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346581 (or 346568 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 60041000656 in words is "sixty billion, forty-one million, six hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 49 52 56 68 91 98 104 112 119 136 182 196 208 221 238 272 364 392 442 476 637 728 784 833 884 952 1274 1456 1547 1666 1768 1904 2548 3094 3332 3536 5096 6188 6664 10192 10829 12376 13328 21658 24752 43316 86632 173264 346529 693058 1386116 2425703 2772232 4504877 4851406 5544464 5890993 9009754 9702812 11781986 16979921 18019508 19405624 23563972 31534139 33959842 36039016 38811248 41236951 47127944 63068278 67919684 72078032 76582909 82473902 94255888 126136556 135839368 153165818 164947804 220738973 252273112 271678736 288658657 306331636 329895608 441477946 504546224 536080363 577317314 612663272 659791216 882955892 1072160726 1154634628 1225326544 1765911784 2144321452 2309269256 3531823568 3752562541 4288642904 4618538512 7505125082 8577285808 15010250164 30020500328 60041000656