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468112922032 = 24743293331739
BaseRepresentation
bin1101100111111011011…
…01000101010110110000
31122202021121001022112211
412303331231011112300
530132143402001112
6555014220301504
745551163120430
oct6637555052660
91582247038484
10468112922032
111705865a48a8
12768820a1894
13351b1b279c2
141892a3162c0
15c29b5000a7
hex6cfdb455b0

468112922032 has 80 divisors (see below), whose sum is σ = 1064264382720. Its totient is φ = 195284871936.

The previous prime is 468112921993. The next prime is 468112922051. The reversal of 468112922032 is 230229211864.

It is a super-2 number, since 2×4681129220322 (a number of 24 digits) contains 22 as substring.

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, 1245219 + ... + 1576957.

It is an arithmetic number, because the mean of its divisors is an integer number (13303304784).

Almost surely, 2468112922032 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 468112922032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532132191360).

468112922032 is an abundant number, since it is smaller than the sum of its proper divisors (596151460688).

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

468112922032 is a wasteful number, since it uses less digits than its factorization.

468112922032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332090 (or 332084 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 468112922032 in words is "four hundred sixty-eight billion, one hundred twelve million, nine hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 293 301 344 586 602 688 1172 1204 2051 2344 2408 4102 4688 4816 8204 12599 16408 25198 32816 50396 88193 100792 176386 201584 331739 352772 663478 705544 1326956 1411088 2322173 2653912 4644346 5307824 9288692 14264777 18577384 28529554 37154768 57059108 97199527 99853439 114118216 194399054 199706878 228236432 388798108 399413756 680396689 777596216 798827512 1360793378 1555192432 1597655024 2721586756 4179579661 5443173512 8359159322 10886347024 16718318644 29257057627 33436637288 58514115254 66873274576 117028230508 234056461016 468112922032