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146066415640 = 23559353175333
BaseRepresentation
bin1000100000001000111…
…1001010000000011000
3111222000121201201112221
42020002033022000120
54343121000300030
6151034010113424
713360443022165
oct2100217120030
9458017651487
10146066415640
1156a45757a92
122438541b874
1310a0a642c52
1470d91a906c
153bed5c7e7a
hex22023ca018

146066415640 has 64 divisors (see below), whose sum is σ = 335168474400. Its totient is φ = 57273249792.

The previous prime is 146066415617. The next prime is 146066415667. The reversal of 146066415640 is 46514660641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745414 + ... + 920746.

Almost surely, 2146066415640 is an apocalyptic number.

146066415640 is a gapful number since it is divisible by the number (10) 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 146066415640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167584237200).

146066415640 is an abundant number, since it is smaller than the sum of its proper divisors (189102058760).

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

146066415640 is a wasteful number, since it uses less digits than its factorization.

146066415640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175756 (or 175752 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 146066415640 in words is "one hundred forty-six billion, sixty-six million, four hundred fifteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 353 472 590 706 1180 1412 1765 2360 2824 3530 7060 14120 20827 41654 83308 104135 166616 175333 208270 350666 416540 701332 833080 876665 1402664 1753330 3506660 7013320 10344647 20689294 41378588 51723235 61892549 82757176 103446470 123785098 206892940 247570196 309462745 413785880 495140392 618925490 1237850980 2475701960 3651660391 7303320782 14606641564 18258301955 29213283128 36516603910 73033207820 146066415640