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68210796276 = 22347211142537
BaseRepresentation
bin111111100001101011…
…100010011011110100
320112001201122110210000
4333201223202123310
52104143430440101
651200254031300
74633220126160
oct774153423364
9215051573700
1068210796276
1126a23241907
12112777a8530
13658086771c
14343114dca0
151b934db486
hexfe1ae26f4

68210796276 has 120 divisors (see below), whose sum is σ = 204757547456. Its totient is φ = 19396298880.

The previous prime is 68210796263. The next prime is 68210796293. The reversal of 68210796276 is 67269701286.

68210796276 is a `hidden beast` number, since 6 + 8 + 2 + 1 + 0 + 7 + 9 + 627 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 407280 + ... + 549816.

Almost surely, 268210796276 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 68210796276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102378773728).

68210796276 is an abundant number, since it is smaller than the sum of its proper divisors (136546751180).

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

68210796276 is a wasteful number, since it uses less digits than its factorization.

68210796276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142771 (or 142760 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 68210796276 in words is "sixty-eight billion, two hundred ten million, seven hundred ninety-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 211 252 324 378 422 567 633 756 844 1134 1266 1477 1899 2268 2532 2954 3798 4431 5697 5908 7596 8862 11394 13293 17091 17724 22788 26586 34182 39879 53172 68364 79758 119637 142537 159516 239274 285074 427611 478548 570148 855222 997759 1282833 1710444 1995518 2565666 2993277 3848499 3991036 5131332 5986554 7696998 8979831 11545497 11973108 15393996 17959662 23090994 26939493 30075307 35919324 46181988 53878986 60150614 80818479 90225921 107757972 120301228 161636958 180451842 210527149 270677763 323273916 360903684 421054298 541355526 631581447 812033289 842108596 1082711052 1263162894 1624066578 1894744341 2436099867 2526325788 3248133156 3789488682 4872199734 5684233023 7578977364 9744399468 11368466046 17052699069 22736932092 34105398138 68210796276