Search a number
-
+
146455677960 = 23351771791999
BaseRepresentation
bin1000100001100101110…
…0000100110000001000
3112000000202012022001220
42020121130010300020
54344420123143320
6151140353242040
713403210502564
oct2103134046010
9460022168056
10146455677960
1157125459589
1224473863320
1310a70194c97
147134b766a4
153c22869e40
hex2219704c08

146455677960 has 64 divisors (see below), whose sum is σ = 465212160000. Its totient is φ = 36757502976.

The previous prime is 146455677923. The next prime is 146455678013. The reversal of 146455677960 is 69776554641.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 146455677894 and 146455677903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35893960 + ... + 35898039.

It is an arithmetic number, because the mean of its divisors is an integer number (7268940000).

Almost surely, 2146455677960 is an apocalyptic number.

146455677960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146455677960 is an abundant number, since it is smaller than the sum of its proper divisors (318756482040).

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

146455677960 is a wasteful number, since it uses less digits than its factorization.

146455677960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71792030 (or 71792026 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 146455677960 in words is "one hundred forty-six billion, four hundred fifty-five million, six hundred seventy-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 71791999 143583998 215375997 287167996 358959995 430751994 574335992 717919990 861503988 1076879985 1220463983 1435839980 1723007976 2153759970 2440927966 2871679960 3661391949 4307519940 4881855932 6102319915 7322783898 8615039880 9763711864 12204639830 14645567796 18306959745 24409279660 29291135592 36613919490 48818559320 73227838980 146455677960