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146720312658 = 23353349146891
BaseRepresentation
bin1000100010100100110…
…1100100110101010010
3112000201012011010122000
42020221031210311102
54400440400001113
6151222525254430
713412603036403
oct2105115446522
9460635133560
10146720312658
1157250878547
1224528404416
1310ab2c5c96a
14715bd819aa
153c3abe0373
hex2229364d52

146720312658 has 64 divisors (see below), whose sum is σ = 333151056000. Its totient is φ = 47846185920.

The previous prime is 146720312657. The next prime is 146720312719. The reversal of 146720312658 is 856213027641.

It is a super-2 number, since 2×1467203126582 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146720312657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925393 + ... + 1072283.

It is an arithmetic number, because the mean of its divisors is an integer number (5205485250).

Almost surely, 2146720312658 is an apocalyptic number.

146720312658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146720312658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166575528000).

146720312658 is an abundant number, since it is smaller than the sum of its proper divisors (186430743342).

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

146720312658 is a wasteful number, since it uses less digits than its factorization.

146720312658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147304 (or 147298 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 146720312658 in words is "one hundred forty-six billion, seven hundred twenty million, three hundred twelve thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 349 477 698 954 1047 1431 2094 2862 3141 6282 9423 18497 18846 36994 55491 110982 146891 166473 293782 332946 440673 499419 881346 998838 1322019 2644038 3966057 7785223 7932114 15570446 23355669 46711338 51264959 70067007 102529918 140134014 153794877 210201021 307589754 420402042 461384631 922769262 1384153893 2717042827 2768307786 5434085654 8151128481 16302256962 24453385443 48906770886 73360156329 146720312658