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145603663504 = 24137123894127
BaseRepresentation
bin1000011110011010100…
…1111001011010010000
3111220211100222110221221
42013212221321122100
54341144014213004
6150520035454424
713343123501455
oct2074651713220
9456740873857
10145603663504
1156828521502
1224276457414
13109657ccb10
14709394b82c
153bc2b6b354
hex21e6a79690

145603663504 has 80 divisors (see below), whose sum is σ = 308290268160. Its totient is φ = 66211407360.

The previous prime is 145603663463. The next prime is 145603663519. The reversal of 145603663504 is 405366306541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35278689 + ... + 35282815.

It is an arithmetic number, because the mean of its divisors is an integer number (3853628352).

Almost surely, 2145603663504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145603663504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154145134080).

145603663504 is an abundant number, since it is smaller than the sum of its proper divisors (162686604656).

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

145603663504 is a wasteful number, since it uses less digits than its factorization.

145603663504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 145603663504 in words is "one hundred forty-five billion, six hundred three million, six hundred sixty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 2389 3692 4127 4778 7384 8254 9556 14768 16508 19112 31057 33016 38224 53651 62114 66032 107302 124228 169619 214604 248456 293017 339238 429208 496912 586034 678476 858416 1172068 1356952 2205047 2344136 2713904 3809221 4410094 4688272 7618442 8820188 9859403 15236884 17640376 19718806 30473768 35280752 39437612 60947536 78875224 128172239 157750448 256344478 512688956 700017613 1025377912 1400035226 2050755824 2800070452 5600140904 9100228969 11200281808 18200457938 36400915876 72801831752 145603663504