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157678825068 = 223317322926597
BaseRepresentation
bin1001001011011001100…
…0111110111001101100
3120001222220112020121000
42102312120332321230
510040411234400233
6200234152240300
714251266620232
oct2226630767154
9501886466530
10157678825068
116096464a076
12266863a0090
1311b3b3bc62b
1478bb532952
15417ccd6d13
hex24b663ee6c

157678825068 has 96 divisors (see below), whose sum is σ = 432994161600. Its totient is φ = 49450687488.

The previous prime is 157678825049. The next prime is 157678825091. The reversal of 157678825068 is 860528876751.

157678825068 is a `hidden beast` number, since 1 + 57 + 6 + 78 + 8 + 2 + 506 + 8 = 666.

It is a super-2 number, since 2×1576788250682 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157678824996 and 157678825014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5915146 + ... + 5941742.

It is an arithmetic number, because the mean of its divisors is an integer number (4510355850).

Almost surely, 2157678825068 is an apocalyptic number.

157678825068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157678825068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216497080800).

157678825068 is an abundant number, since it is smaller than the sum of its proper divisors (275315336532).

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

157678825068 is a wasteful number, since it uses less digits than its factorization.

157678825068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29856 (or 29848 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 157678825068 in words is "one hundred fifty-seven billion, six hundred seventy-eight million, eight hundred twenty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 3229 6458 9687 12916 19374 26597 29061 38748 53194 54893 58122 79791 87183 106388 109786 116244 159582 164679 174366 219572 239373 319164 329358 348732 452149 478746 494037 658716 718119 904298 957492 988074 1356447 1436238 1482111 1808596 1976148 2712894 2872476 2964222 4069341 5425788 5928444 8138682 12208023 16277364 24416046 48832092 85881713 171763426 257645139 343526852 515290278 772935417 1030580556 1459989121 1545870834 2318806251 2919978242 3091741668 4379967363 4637612502 5839956484 8759934726 9275225004 13139902089 17519869452 26279804178 39419706267 52559608356 78839412534 157678825068