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145162363050 = 23252479673451
BaseRepresentation
bin1000011100110001011…
…0011110000010101010
3111212200121121002112200
42013030112132002222
54334243031104200
6150404153121030
713326154504305
oct2071426360252
9455617532480
10145162363050
1156621407991
12241726b9176
13108c525aaa3
1470510b5b3c
153b9904a800
hex21cc59e0aa

145162363050 has 72 divisors (see below), whose sum is σ = 390817664640. Its totient is φ = 38629092000.

The previous prime is 145162362997. The next prime is 145162363057. The reversal of 145162363050 is 50363261541.

145162363050 is a `hidden beast` number, since 1 + 4 + 5 + 16 + 2 + 3 + 630 + 5 + 0 = 666.

It is a super-2 number, since 2×1451623630502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145162362996 and 145162363014.

It is not an unprimeable number, because it can be changed into a prime (145162363057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121176 + ... + 552275.

It is an arithmetic number, because the mean of its divisors is an integer number (5428023120).

Almost surely, 2145162363050 is an apocalyptic number.

145162363050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145162363050 is an abundant number, since it is smaller than the sum of its proper divisors (245655301590).

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

145162363050 is a wasteful number, since it uses less digits than its factorization.

145162363050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673948 (or 673940 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 145162363050 in words is "one hundred forty-five billion, one hundred sixty-two million, three hundred sixty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 479 958 1437 2395 2874 4311 4790 7185 8622 11975 14370 21555 23950 35925 43110 71850 107775 215550 673451 1346902 2020353 3367255 4040706 6061059 6734510 10101765 12122118 16836275 20203530 30305295 33672550 50508825 60610590 101017650 151526475 303052950 322583029 645166058 967749087 1612915145 1935498174 2903247261 3225830290 4838745435 5806494522 8064575725 9677490870 14516236305 16129151450 24193727175 29032472610 48387454350 72581181525 145162363050