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146006573800 = 23524261171329
BaseRepresentation
bin1000011111111010101…
…0111000001011101000
3111221212110010102222111
42013332222320023220
54343010140330200
6151024031332104
713356115254163
oct2077652701350
9457773112874
10146006573800
1156a149a4a1a
1224369381034
13109cb11cc89
1470d126cada
153be82070ba
hex21feab82e8

146006573800 has 48 divisors (see below), whose sum is σ = 339546933900. Its totient is φ = 58388582400.

The previous prime is 146006573773. The next prime is 146006573819. The reversal of 146006573800 is 8375600641.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 98095492804 + 47911080996 = 313202^2 + 218886^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 766536 + ... + 937864.

Almost surely, 2146006573800 is an apocalyptic number.

146006573800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146006573800 is an abundant number, since it is smaller than the sum of its proper divisors (193540360100).

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

146006573800 is a wasteful number, since it uses less digits than its factorization.

146006573800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175606 (or 175597 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 146006573800 in words is "one hundred forty-six billion, six million, five hundred seventy-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4261 8522 17044 21305 34088 42610 85220 106525 170440 171329 213050 342658 426100 685316 852200 856645 1370632 1713290 3426580 4283225 6853160 8566450 17132900 34265800 730032869 1460065738 2920131476 3650164345 5840262952 7300328690 14600657380 18250821725 29201314760 36501643450 73003286900 146006573800