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470429762140 = 225132173804511
BaseRepresentation
bin1101101100001111100…
…11001000001001011100
31122222021001120222200201
412312013303020021130
530201420004342030
61000040142233244
745662455000342
oct6660763101134
91588231528621
10470429762140
11171565378098
1277209b85824
1335490b17c00
1418aa9cc9992
15c384aeb2ca
hex6d87cc825c

470429762140 has 72 divisors (see below), whose sum is σ = 1075925386368. Its totient is φ = 172692898560.

The previous prime is 470429762123. The next prime is 470429762171. The reversal of 470429762140 is 41267924074.

It is a super-2 number, since 2×4704297621402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182485 + ... + 986995.

It is an arithmetic number, because the mean of its divisors is an integer number (14943408144).

Almost surely, 2470429762140 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 470429762140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537962693184).

470429762140 is an abundant number, since it is smaller than the sum of its proper divisors (605495624228).

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

470429762140 is a wasteful number, since it uses less digits than its factorization.

470429762140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804719 (or 804704 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 470429762140 in words is "four hundred seventy billion, four hundred twenty-nine million, seven hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 173 260 338 346 676 692 845 865 1690 1730 2249 3380 3460 4498 8996 11245 22490 29237 44980 58474 116948 146185 292370 584740 804511 1609022 3218044 4022555 8045110 10458643 16090220 20917286 41834572 52293215 104586430 135962359 139180403 209172860 271924718 278360806 543849436 556721612 679811795 695902015 1359623590 1391804030 1809345239 2719247180 2783608060 3618690478 7237380956 9046726195 18093452390 23521488107 36186904780 47042976214 94085952428 117607440535 235214881070 470429762140