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146374570752 = 283593230371
BaseRepresentation
bin1000100001010010011…
…0101011001100000000
3111222211002120121220020
42020110212223030000
54344233342231002
6151124335013440
713401204215454
oct2102446531400
9458732517806
10146374570752
11570936a1533
122445066a280
1310a59437957
1471280a2664
153c1a6982bc
hex22149ab300

146374570752 has 72 divisors (see below), whose sum is σ = 396172822080. Its totient is φ = 47964533760.

The previous prime is 146374570729. The next prime is 146374570777. The reversal of 146374570752 is 257075473641.

It is a junction number, because it is equal to n+sod(n) for n = 146374570695 and 146374570704.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1569874 + ... + 1660497.

Almost surely, 2146374570752 is an apocalyptic number.

146374570752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146374570752 is an abundant number, since it is smaller than the sum of its proper divisors (249798251328).

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

146374570752 is an equidigital number, since it uses as much as digits as its factorization.

146374570752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230449 (or 3230435 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 146374570752 in words is "one hundred forty-six billion, three hundred seventy-four million, five hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 944 1416 1888 2832 3776 5664 7552 11328 15104 22656 45312 3230371 6460742 9691113 12921484 19382226 25842968 38764452 51685936 77528904 103371872 155057808 190591889 206743744 310115616 381183778 413487488 571775667 620231232 762367556 826974976 1143551334 1240462464 1524735112 2287102668 2480924928 3049470224 4574205336 6098940448 9148410672 12197880896 18296821344 24395761792 36593642688 48791523584 73187285376 146374570752