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146855179660 = 225717311990447
BaseRepresentation
bin1000100011000101000…
…0000011010110001100
3112001001120221002101011
42020301100003112030
54401224411222120
6151244144055004
713416131300560
oct2106120032614
9461046832334
10146855179660
115730aa14082
1224565604464
1310b04b90817
147171c4b6a0
153c47980c5a
hex223140358c

146855179660 has 96 divisors (see below), whose sum is σ = 385223344128. Its totient is φ = 45859875840.

The previous prime is 146855179657. The next prime is 146855179661. The reversal of 146855179660 is 66971558641.

It is a junction number, because it is equal to n+sod(n) for n = 146855179595 and 146855179604.

It is not an unprimeable number, because it can be changed into a prime (146855179661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921444 + ... + 1069003.

It is an arithmetic number, because the mean of its divisors is an integer number (4012743168).

Almost surely, 2146855179660 is an apocalyptic number.

146855179660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146855179660 is an abundant number, since it is smaller than the sum of its proper divisors (238368164468).

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

146855179660 is a wasteful number, since it uses less digits than its factorization.

146855179660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990511 (or 1990509 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 146855179660 in words is "one hundred forty-six billion, eight hundred fifty-five million, one hundred seventy-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 31 34 35 62 68 70 85 119 124 140 155 170 217 238 310 340 434 476 527 595 620 868 1054 1085 1190 2108 2170 2380 2635 3689 4340 5270 7378 10540 14756 18445 36890 73780 1990447 3980894 7961788 9952235 13933129 19904470 27866258 33837599 39808940 55732516 61703857 67675198 69665645 123407714 135350396 139331290 169187995 236863193 246815428 278662580 308519285 338375990 431926999 473726386 617038570 676751980 863853998 947452772 1048965569 1184315965 1234077140 1727707996 2097931138 2159634995 2368631930 4195862276 4319269990 4737263860 5244827845 7342758983 8638539980 10489655690 14685517966 20979311380 29371035932 36713794915 73427589830 146855179660