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38592939420 = 22325740917487
BaseRepresentation
bin100011111100010100…
…011000010110011100
310200121121102110020200
4203330110120112130
51113014243030140
625421312343500
72534240400240
oct437424302634
9120547373220
1038592939420
1115404787662
127590844b90
133840701139
141c2177c420
15100d1ea030
hex8fc51859c

38592939420 has 144 divisors (see below), whose sum is σ = 133839433728. Its totient is φ = 8817909120.

The previous prime is 38592939397. The next prime is 38592939433. The reversal of 38592939420 is 2493929583.

38592939420 is a `hidden beast` number, since 3 + 8 + 592 + 9 + 3 + 9 + 42 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5150917 + ... + 5158403.

It is an arithmetic number, because the mean of its divisors is an integer number (929440512).

Almost surely, 238592939420 is an apocalyptic number.

38592939420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38592939420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66919716864).

38592939420 is an abundant number, since it is smaller than the sum of its proper divisors (95246494308).

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

38592939420 is a wasteful number, since it uses less digits than its factorization.

38592939420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11600 (or 11595 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 38592939420 in words is "thirty-eight billion, five hundred ninety-two million, nine hundred thirty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 4091 7487 8182 12273 14974 16364 20455 22461 24546 28637 29948 36819 37435 40910 44922 49092 52409 57274 61365 67383 73638 74870 81820 85911 89844 104818 112305 114548 122730 134766 143185 147276 149740 157227 171822 184095 209636 224610 245460 257733 262045 269532 286370 314454 336915 343644 368190 429555 449220 471681 515466 524090 572740 628908 673830 736380 786135 859110 943362 1030932 1048180 1288665 1347660 1572270 1718220 1886724 2358405 2577330 3144540 4716810 5154660 9433620 30629317 61258634 91887951 122517268 153146585 183775902 214405219 275663853 306293170 367551804 428810438 459439755 551327706 612586340 643215657 857620876 918879510 1072026095 1102655412 1286431314 1378319265 1837759020 1929646971 2144052190 2572862628 2756638530 3216078285 3859293942 4288104380 5513277060 6432156570 7718587884 9648234855 12864313140 19296469710 38592939420