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56200413798 = 232175329311827
BaseRepresentation
bin110100010101110011…
…100100001001100110
312101001200222211100100
4310111303210021212
51410044301220143
641452413524530
74026461430624
oct642563441146
9171050884310
1056200413798
112191a739781
12aa854a3746
1353b8509229
142a11dcc514
1516dddb96d3
hexd15ce4266

56200413798 has 96 divisors (see below), whose sum is σ = 131822492256. Its totient is φ = 17238334464.

The previous prime is 56200413793. The next prime is 56200413803. The reversal of 56200413798 is 89731400265.

56200413798 is a `hidden beast` number, since 5 + 620 + 0 + 4 + 13 + 7 + 9 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (56200413793) and next prime (56200413803).

It is a super-2 number, since 2×562004137982 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56200413793) 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 47 ways as a sum of consecutive naturals, for example, 4745961 + ... + 4757787.

It is an arithmetic number, because the mean of its divisors is an integer number (1373150961).

It is a 1-persistent number, because it is pandigital, but 2⋅56200413798 = 112400827596 is not.

Almost surely, 256200413798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56200413798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65911246128).

56200413798 is an abundant number, since it is smaller than the sum of its proper divisors (75622078458).

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

56200413798 is a wasteful number, since it uses less digits than its factorization.

56200413798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12198 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 56200413798 in words is "fifty-six billion, two hundred million, four hundred thirteen thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 293 306 318 477 586 879 901 954 1758 1802 2637 2703 4981 5274 5406 8109 9962 11827 14943 15529 16218 23654 29886 31058 35481 44829 46587 70962 89658 93174 106443 139761 201059 212886 263993 279522 402118 527986 603177 626831 791979 1206354 1253662 1583958 1809531 1880493 2375937 3465311 3619062 3760986 4751874 5641479 6930622 10395933 10656127 11282958 20791866 21312254 31187799 31968381 58910287 62375598 63936762 95905143 117820574 176730861 183661483 191810286 353461722 367322966 530192583 550984449 1060385166 1101968898 1652953347 3122245211 3305906694 6244490422 9366735633 18733471266 28100206899 56200413798