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145763907306 = 23315367721841
BaseRepresentation
bin1000011111000000110…
…1001011011011101010
3111221020112111201010120
42013300031023123222
54342011030013211
6150544002224110
713350110524533
oct2076015133352
9457215451116
10145763907306
11568aaa1aaa6
1224300055036
131098ca77534
1470aad4168a
153bd1c70d06
hex21f034b6ea

145763907306 has 64 divisors (see below), whose sum is σ = 307076852736. Its totient is φ = 46063180800.

The previous prime is 145763907283. The next prime is 145763907349. The reversal of 145763907306 is 603709367541.

145763907306 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 2×1457639073062 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6662946 + ... + 6684786.

It is an arithmetic number, because the mean of its divisors is an integer number (4798075824).

Almost surely, 2145763907306 is an apocalyptic number.

145763907306 is an abundant number, since it is smaller than the sum of its proper divisors (161312945430).

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

145763907306 is a wasteful number, since it uses less digits than its factorization.

145763907306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22607.

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 145763907306 in words is "one hundred forty-five billion, seven hundred sixty-three million, nine hundred seven thousand, three hundred six".

Divisors: 1 2 3 6 31 53 62 93 106 159 186 318 677 1354 1643 2031 3286 4062 4929 9858 20987 21841 35881 41974 43682 62961 65523 71762 107643 125922 131046 215286 677071 1112311 1157573 1354142 2031213 2224622 2315146 3336933 3472719 4062426 6673866 6945438 14786357 29572714 35884763 44359071 71769526 88718142 107654289 215308578 458377067 783676921 916754134 1375131201 1567353842 2351030763 2750262402 4702061526 24293984551 48587969102 72881953653 145763907306