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75113262464464 = 2471728272806049
BaseRepresentation
bin10001000101000010101011…
…010100111011110111010000
3100211221202110102001020111001
4101011002223110323313100
534321123430142330324
6423430320103431344
721551516444325640
oct2105025324736720
9324852412036431
1075113262464464
1121a2a3a050a614
128511553755554
1332bb1c51672c3
1414797037da520
158a3d0594ae44
hex4450ab53bdd0

75113262464464 has 120 divisors (see below), whose sum is σ = 176895098078400. Its totient is φ = 30261139980288.

The previous prime is 75113262464407. The next prime is 75113262464483. The reversal of 75113262464464 is 46446426231157.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25365312 + ... + 28171360.

It is an arithmetic number, because the mean of its divisors is an integer number (1474125817320).

Almost surely, 275113262464464 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 75113262464464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88447549039200).

75113262464464 is an abundant number, since it is smaller than the sum of its proper divisors (101781835613936).

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

75113262464464 is a wasteful number, since it uses less digits than its factorization.

75113262464464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806925 (or 2806902 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 55.

The spelling of 75113262464464 in words is "seventy-five trillion, one hundred thirteen billion, two hundred sixty-two million, four hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 827 952 1156 1654 1904 2023 2312 3308 4046 4624 5789 6616 8092 11578 13232 14059 16184 23156 28118 32368 46312 56236 92624 98413 112472 196826 224944 239003 393652 478006 787304 956012 1574608 1673021 1912024 2806049 3346042 3824048 5612098 6692084 11224196 13384168 19642343 22448392 26768336 39284686 44896784 47702833 78569372 95405666 157138744 190811332 314277488 333919831 381622664 667839662 763245328 810948161 1335679324 1621896322 2320602523 2671358648 3243792644 4641205046 5342717296 5676637127 6487585288 9282410092 11353274254 12975170576 16244217661 18564820184 22706548508 32488435322 37129640368 39450242891 45413097016 64976870644 78900485782 90826194032 129953741288 157800971564 259907482576 276151700237 315601943128 552303400474 631203886256 670654129147 1104606800948 1341308258294 2209213601896 2682616516588 4418427203792 4694578904029 5365233033176 9389157808058 10730466066352 18778315616116 37556631232232 75113262464464