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145569688704 = 2733113829169
BaseRepresentation
bin1000011110010010100…
…0010010110010000000
3111220202000001101022000
42013210220102302000
54341111320014304
6150512423344000
713342231636536
oct2074450226200
9456660041260
10145569688704
1156810326760
1224266bb2000
131095b76589b
14708d226156
153bbeba9939
hex21e4a12c80

145569688704 has 128 divisors (see below), whose sum is σ = 468690408000. Its totient is φ = 44112015360.

The previous prime is 145569688699. The next prime is 145569688717. The reversal of 145569688704 is 407886965541.

145569688704 is a `hidden beast` number, since 1 + 4 + 5 + 569 + 68 + 8 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876569 + ... + 1952600.

Almost surely, 2145569688704 is an apocalyptic number.

It is an amenable number.

145569688704 is an abundant number, since it is smaller than the sum of its proper divisors (323120719296).

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

145569688704 is a wasteful number, since it uses less digits than its factorization.

145569688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829203 (or 3829185 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 145569688704 in words is "one hundred forty-five billion, five hundred sixty-nine million, six hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 3829169 7658338 11487507 15316676 22975014 30633352 34462521 42120859 45950028 61266704 68925042 84241718 91900056 103387563 122533408 126362577 137850084 168483436 183800112 206775126 245066816 252725154 275700168 336966872 367600224 379087731 413550252 490133632 505450308 551400336 673933744 735200448 758175462 827100504 1010900616 1102800672 1137263193 1347867488 1470400896 1516350924 1654201008 2021801232 2205601344 2274526386 2695734976 3032701848 3308402016 4043602464 4411202688 4549052772 5391469952 6065403696 6616804032 8087204928 9098105544 12130807392 13233608064 16174409856 18196211088 24261614784 36392422176 48523229568 72784844352 145569688704