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505422623232 = 293434912
BaseRepresentation
bin1110101101011011000…
…10010011001000000000
31210022120202211111220000
413112231202103020000
531240101142420412
61024104332520000
751341562261462
oct7265542231000
91708522744800
10505422623232
111853919925aa
1281b55020000
133887970c387
141a669498132
15d231c1b4dc
hex75ad893200

505422623232 has 150 divisors (see below), whose sum is σ = 1508985697659. Its totient is φ = 168425948160.

The previous prime is 505422623219. The next prime is 505422623261. The reversal of 505422623232 is 232326224505.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

505422623232 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 2 + 2 + 623 + 23 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 252711311616 + 252711311616 = 502704^2 + 502704^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=502704.

It is a super-3 number, since 3×5054226232323 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 144777007 + ... + 144780497.

Almost surely, 2505422623232 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 505422623232

505422623232 is an abundant number, since it is smaller than the sum of its proper divisors (1003563074427).

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

505422623232 is an frugal number, since it uses more digits than its factorization.

505422623232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 505422623232 its reverse (232326224505), we get a palindrome (737748847737).

The spelling of 505422623232 in words is "five hundred five billion, four hundred twenty-two million, six hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 3491 4608 5184 6912 6982 10368 10473 13824 13964 20736 20946 27928 31419 41472 41892 55856 62838 83784 94257 111712 125676 167568 188514 223424 251352 282771 335136 377028 446848 502704 565542 670272 754056 893696 1005408 1131084 1340544 1508112 1787392 2010816 2262168 2681088 3016224 4021632 4524336 5362176 6032448 8043264 9048672 12064896 12187081 16086528 18097344 24129792 24374162 36194688 36561243 48259584 48748324 72389376 73122486 97496648 109683729 144778752 146244972 194993296 219367458 292489944 329051187 389986592 438734916 584979888 658102374 779973184 877469832 987153561 1169959776 1316204748 1559946368 1754939664 1974307122 2339919552 2632409496 3119892736 3509879328 3948614244 4679839104 5264818992 6239785472 7019758656 7897228488 9359678208 10529637984 14039517312 15794456976 18719356416 21059275968 28079034624 31588913952 42118551936 56158069248 63177827904 84237103872 126355655808 168474207744 252711311616 505422623232