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116216729424 = 2433714199043
BaseRepresentation
bin110110000111100001…
…1101000111101010000
3102002222100021112221000
41230033003220331100
53401002440320144
6125220023502000
711252646621015
oct1541703507520
9362870245830
10116216729424
114531834aa24
121a6348b7900
13ac61459823
1458a6acb70c
153052c91769
hex1b0f0e8f50

116216729424 has 160 divisors (see below), whose sum is σ = 339128294400. Its totient is φ = 38097924480.

The previous prime is 116216729423. The next prime is 116216729459. The reversal of 116216729424 is 424927612611.

116216729424 is a `hidden beast` number, since 1 + 1 + 6 + 216 + 7 + 2 + 9 + 424 = 666.

It is a super-2 number, since 2×1162167294242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116216729424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116216729423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12847047 + ... + 12856089.

It is an arithmetic number, because the mean of its divisors is an integer number (2119551840).

Almost surely, 2116216729424 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 116216729424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169564147200).

116216729424 is an abundant number, since it is smaller than the sum of its proper divisors (222911564976).

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

116216729424 is a wasteful number, since it uses less digits than its factorization.

116216729424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550 (or 9538 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 116216729424 in words is "one hundred sixteen billion, two hundred sixteen million, seven hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 419 426 432 568 639 838 852 1136 1257 1278 1676 1704 1917 2514 2556 3352 3408 3771 3834 5028 5112 6704 7542 7668 9043 10056 10224 11313 15084 15336 18086 20112 22626 27129 29749 30168 30672 36172 45252 54258 59498 60336 72344 81387 89247 90504 108516 118996 144688 162774 178494 181008 217032 237992 244161 267741 325548 356988 434064 475984 488322 535482 642053 651096 713976 803223 976644 1070964 1284106 1302192 1427952 1606446 1926159 1953288 2141928 2568212 3212892 3789017 3852318 3906576 4283856 5136424 5778477 6425784 7578034 7704636 10272848 11367051 11556954 12851568 15156068 15409272 17335431 22734102 23113908 30312136 30818544 34101153 34670862 45468204 46227816 60624272 68202306 69341724 90936408 92455632 102303459 136404612 138683448 181872816 204606918 269020207 272809224 277366896 409213836 538040414 545618448 807060621 818427672 1076080828 1614121242 1636855344 2152161656 2421181863 3228242484 4304323312 4842363726 6456484968 7263545589 9684727452 12912969936 14527091178 19369454904 29054182356 38738909808 58108364712 116216729424