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145761363 = 37117383
BaseRepresentation
bin10001011000000…
…10010001010011
3101011021110000000
420230002101103
5244303330423
622244101043
73416644146
oct1054022123
9334243000
10145761363
1175307740
1240994783
1324276837
141550405d
15cbe3843
hex8b02453

145761363 has 64 divisors (see below), whose sum is σ = 244661760. Its totient is φ = 86080320.

The previous prime is 145761361. The next prime is 145761397. The reversal of 145761363 is 363167541.

145761363 is a `hidden beast` number, since 14 + 576 + 13 + 63 = 666.

It is not a de Polignac number, because 145761363 - 21 = 145761361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145761361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1756120 + ... + 1756202.

It is an arithmetic number, because the mean of its divisors is an integer number (3822840).

Almost surely, 2145761363 is an apocalyptic number.

145761363 is a deficient number, since it is larger than the sum of its proper divisors (98900397).

145761363 is an frugal number, since it uses more digits than its factorization.

145761363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 145761363 is about 12073.1670658531. The cubic root of 145761363 is about 526.2766968889.

The spelling of 145761363 in words is "one hundred forty-five million, seven hundred sixty-one thousand, three hundred sixty-three".

Divisors: 1 3 9 11 27 33 73 81 83 99 219 243 249 297 657 729 747 803 891 913 1971 2187 2241 2409 2673 2739 5913 6059 6723 7227 8019 8217 17739 18177 20169 21681 24057 24651 53217 54531 60507 65043 66649 73953 159651 163593 181521 195129 199947 221859 490779 585387 599841 665577 1472337 1756161 1799523 1996731 4417011 5398569 13251033 16195707 48587121 145761363