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268661995175424 = 293792214052571
BaseRepresentation
bin111101000101100010111110…
…110010010111111000000000
31022020020211120101010020210110
4331011202332302113320000
5240203224231231103144
62351221341114031320
7110406121456524264
oct7505427662277000
91266224511106713
10268661995175424
1178670a04300054
12261705b2718540
13b6ba943294276
144a4b44a6d40a4
15210d7ad3d60b9
hexf458bec97e00

268661995175424 has 80 divisors (see below), whose sum is σ = 724792249969920. Its totient is φ = 88420403435520.

The previous prime is 268661995175419. The next prime is 268661995175467. The reversal of 268661995175424 is 424571599166862.

268661995175424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1106904942 + ... + 1107147629.

It is an arithmetic number, because the mean of its divisors is an integer number (9059903124624).

Almost surely, 2268661995175424 is an apocalyptic number.

268661995175424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268661995175424 is an abundant number, since it is smaller than the sum of its proper divisors (456130254794496).

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

268661995175424 is an equidigital number, since it uses as much as digits as its factorization.

268661995175424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214052671 (or 2214052655 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 75.

The spelling of 268661995175424 in words is "two hundred sixty-eight trillion, six hundred sixty-one billion, nine hundred ninety-five million, one hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1264 1536 1896 2528 3792 5056 7584 10112 15168 20224 30336 40448 60672 121344 2214052571 4428105142 6642157713 8856210284 13284315426 17712420568 26568630852 35424841136 53137261704 70849682272 106274523408 141699364544 174910153109 212549046816 283398729088 349820306218 425098093632 524730459327 566797458176 699640612436 850196187264 1049460918654 1133594916352 1399281224872 1700392374528 2098921837308 2798562449744 3400784749056 4197843674616 5597124899488 8395687349232 11194249798976 16791374698464 22388499597952 33582749396928 44776999195904 67165498793856 89553998391808 134330997587712 268661995175424