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146326006650 = 23525322691291
BaseRepresentation
bin1000100001000110110…
…1011010101101111010
3111222200201012022110210
42020101231122231322
54344133424203100
6151115442051550
713400044351245
oct2102155325572
9458621168423
10146326006650
115706924160a
1224438349bb6
1310a4c362cb5
14712186025c
153c162a3c50
hex2211b5ab7a

146326006650 has 144 divisors (see below), whose sum is σ = 371527158240. Its totient is φ = 38112172800.

The previous prime is 146326006639. The next prime is 146326006657. The reversal of 146326006650 is 56600623641.

146326006650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1463260066502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146326006599 and 146326006608.

It is not an unprimeable number, because it can be changed into a prime (146326006657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113342505 + ... + 113343795.

It is an arithmetic number, because the mean of its divisors is an integer number (2580049710).

Almost surely, 2146326006650 is an apocalyptic number.

146326006650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146326006650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185763579120).

146326006650 is an abundant number, since it is smaller than the sum of its proper divisors (225201151590).

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

146326006650 is a wasteful number, since it uses less digits than its factorization.

146326006650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 146326006650 in words is "one hundred forty-six billion, three hundred twenty-six million, six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 269 318 530 538 795 807 1291 1325 1345 1590 1614 2582 2650 2690 2809 3873 3975 4035 5618 6455 6725 7746 7950 8070 8427 12910 13450 14045 14257 16854 19365 20175 28090 28514 32275 38730 40350 42135 42771 64550 68423 70225 71285 84270 85542 96825 136846 140450 142570 193650 205269 210675 213855 342115 347279 356425 410538 421350 427710 684230 694558 712850 755621 1026345 1041837 1069275 1511242 1710575 1736395 2052690 2083674 2138550 2266863 3421150 3472790 3626419 3778105 4533726 5131725 5209185 7252838 7556210 8681975 10263450 10418370 10879257 11334315 17363950 18132095 18405787 18890525 21758514 22668630 26045925 36264190 36811574 37781050 52091850 54396285 55217361 56671575 90660475 92028935 108792570 110434722 113343150 181320950 184057870 271981425 276086805 460144675 543962850 552173610 920289350 975506711 1380434025 1951013422 2760868050 2926520133 4877533555 5853040266 9755067110 14632600665 24387667775 29265201330 48775335550 73163003325 146326006650