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145298897576 = 23721133280181
BaseRepresentation
bin1000011101010001111…
…1010011101010101000
3111220001010111202200222
42013110133103222220
54340033004210301
6150425511345212
713332433152200
oct2072437235250
9456033452628
10145298897576
1156691492338
12241b0382208
1310917623951
147065297400
153ba601a31b
hex21d47d3aa8

145298897576 has 48 divisors (see below), whose sum is σ = 319719339540. Its totient is φ = 61719866880.

The previous prime is 145298897573. The next prime is 145298897599. The reversal of 145298897576 is 675798892541.

145298897576 is digitally balanced in base 2 and base 3, because in such bases 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 88381344100 + 56917553476 = 297290^2 + 238574^2 .

It is a super-2 number, since 2×1452988975762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145298897573) 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 11 ways as a sum of consecutive naturals, for example, 1595795 + ... + 1684386.

Almost surely, 2145298897576 is an apocalyptic number.

It is an amenable number.

145298897576 is an abundant number, since it is smaller than the sum of its proper divisors (174420441964).

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

145298897576 is a wasteful number, since it uses less digits than its factorization.

145298897576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280314 (or 3280303 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 71.

The spelling of 145298897576 in words is "one hundred forty-five billion, two hundred ninety-eight million, eight hundred ninety-seven thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 226 392 452 791 904 1582 3164 5537 6328 11074 22148 44296 3280181 6560362 13120724 22961267 26241448 45922534 91845068 160728869 183690136 321457738 370660453 642915476 741320906 1285830952 1482641812 2594623171 2965283624 5189246342 10378492684 18162362197 20756985368 36324724394 72649448788 145298897576