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53957266688 = 2813171635851
BaseRepresentation
bin110010010000000110…
…101000110100000000
312011021101010010222202
4302100012220310000
51341001030013223
640442043252332
73620053125263
oct622006506400
9164241103882
1053957266688
112097951a096
12a55a21a0a8
13511b87b750
14287c11ccda
15160bec8428
hexc901a8d00

53957266688 has 144 divisors (see below), whose sum is σ = 123586094016. Its totient is φ = 23290675200.

The previous prime is 53957266681. The next prime is 53957266711. The reversal of 53957266688 is 88666275935.

It is a super-2 number, since 2×539572666882 (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 (53957266681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9218963 + ... + 9224813.

It is an arithmetic number, because the mean of its divisors is an integer number (858236764).

Almost surely, 253957266688 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 53957266688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61793047008).

53957266688 is an abundant number, since it is smaller than the sum of its proper divisors (69628827328).

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

53957266688 is a wasteful number, since it uses less digits than its factorization.

53957266688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6046 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 65.

The spelling of 53957266688 in words is "fifty-three billion, nine hundred fifty-seven million, two hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 163 208 221 256 272 326 416 442 544 652 832 884 1088 1304 1664 1768 2119 2176 2608 2771 3328 3536 4238 4352 5216 5542 5851 7072 8476 10432 11084 11702 14144 16952 20864 22168 23404 28288 33904 36023 41728 44336 46808 56576 67808 72046 76063 88672 93616 99467 135616 144092 152126 177344 187232 198934 271232 288184 304252 354688 374464 397868 542464 576368 608504 709376 748928 795736 953713 1152736 1217008 1293071 1497856 1591472 1907426 2305472 2434016 2586142 3182944 3814852 4610944 4868032 5172284 6365888 7629704 9221888 9736064 10344568 12398269 12731776 15259408 16213121 19472128 20689136 24796538 25463552 30518816 32426242 41378272 49593076 61037632 64852484 82756544 99186152 122075264 129704968 165513088 198372304 210770573 244150528 259409936 331026176 396744608 421541146 518819872 793489216 843082292 1037639744 1586978432 1686164584 2075279488 3173956864 3372329168 4150558976 6744658336 13489316672 26978633344 53957266688