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190147451481 = 3413237272
BaseRepresentation
bin1011000100010110101…
…0111101101001011001
3200011210200222100210000
42301011222331221121
511103410221421411
6223204051443213
716511013445521
oct2610552755131
9604720870700
10190147451481
1173706308719
1230a27bb6509
1314c1404a900
1492bb782681
154e2d4e0956
hex2c45abda59

190147451481 has 45 divisors (see below), whose sum is σ = 307660532751. Its totient is φ = 116982420048.

The previous prime is 190147451471. The next prime is 190147451489. The reversal of 190147451481 is 184154741091.

The square root of 190147451481 is 436059.

It is a perfect power (a square), and thus also a powerful number.

190147451481 is a `hidden beast` number, since 1 + 90 + 1 + 47 + 4 + 514 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28128321225 + 162019130256 = 167715^2 + 402516^2 .

It is not a de Polignac number, because 190147451481 - 211 = 190147449433 is a prime.

It is a super-2 number, since 2×1901474514812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190147451489) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51017040 + ... + 51020766.

Almost surely, 2190147451481 is an apocalyptic number.

190147451481 is the 436059-th square number.

190147451481 is the 218030-th centered octagonal number.

It is an amenable number.

190147451481 is a deficient number, since it is larger than the sum of its proper divisors (117513081270).

190147451481 is an frugal number, since it uses more digits than its factorization.

190147451481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 190147451481 in words is "one hundred ninety billion, one hundred forty-seven million, four hundred fifty-one thousand, four hundred eighty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 3727 4563 11181 13689 33543 48451 100629 145353 301887 436059 629863 1308177 1889589 3924531 5668767 13890529 17006301 41671587 51018903 125014761 180576877 375044283 541730631 1125132849 1625191893 2347499401 4875575679 7042498203 14626727037 21127494609 63382483827 190147451481