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146693602960 = 2451833670037
BaseRepresentation
bin1000100010011110011…
…1101011111010010000
3112000122022220010210221
42020213213223322100
54400412030243320
6151220133002424
713412130023512
oct2104747537220
9460568803727
10146693602960
1157237795113
122451b483414
1310aaa56a4c8
1471585cbbb2
153c386b63aa
hex22279ebe90

146693602960 has 20 divisors (see below), whose sum is σ = 341062627068. Its totient is φ = 58677441152.

The previous prime is 146693602949. The next prime is 146693602969. The reversal of 146693602960 is 69206396641.

146693602960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21796388496 + 124897214464 = 147636^2 + 353408^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1466936029602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146693602898 and 146693602907.

It is not an unprimeable number, because it can be changed into a prime (146693602969) 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 3 ways as a sum of consecutive naturals, for example, 916834939 + ... + 916835098.

Almost surely, 2146693602960 is an apocalyptic number.

146693602960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146693602960 is an abundant number, since it is smaller than the sum of its proper divisors (194369024108).

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

146693602960 is a wasteful number, since it uses less digits than its factorization.

146693602960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833670050 (or 1833670044 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 52.

The spelling of 146693602960 in words is "one hundred forty-six billion, six hundred ninety-three million, six hundred two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1833670037 3667340074 7334680148 9168350185 14669360296 18336700370 29338720592 36673400740 73346801480 146693602960