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4082878927900 = 22521749912773769
BaseRepresentation
bin111011011010011110100…
…011000101010000011100
3112110022121212000110120101
4323122132203011100130
51013343214001143100
612403352041030444
7600656355162403
oct73323643052034
915408555013511
104082878927900
1113345a2794903
1255b357a85424
13238024503b86
141018805a663a
15713120a486a
hex3b69e8c541c

4082878927900 has 144 divisors (see below), whose sum is σ = 9409671180000. Its totient is φ = 1532395560960.

The previous prime is 4082878927891. The next prime is 4082878927909. The reversal of 4082878927900 is 97298782804.

4082878927900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4082878927891) and next prime (4082878927909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082878927909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083277216 + ... + 1083280984.

It is an arithmetic number, because the mean of its divisors is an integer number (65344938750).

Almost surely, 24082878927900 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 4082878927900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704835590000).

4082878927900 is an abundant number, since it is smaller than the sum of its proper divisors (5326792252100).

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

4082878927900 is a wasteful number, since it uses less digits than its factorization.

4082878927900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 64.

The spelling of 4082878927900 in words is "four trillion, eighty-two billion, eight hundred seventy-eight million, nine hundred twenty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 499 850 998 1277 1700 1996 2495 2554 3769 4990 5108 6385 7538 8483 9980 12475 12770 15076 16966 18845 21709 24950 25540 31925 33932 37690 42415 43418 49900 63850 64073 75380 84830 86836 94225 108545 127700 128146 169660 188450 212075 217090 256292 320365 376900 424150 434180 542725 637223 640730 848300 1085450 1274446 1281460 1601825 1880731 2170900 2548892 3186115 3203650 3761462 4813013 6372230 6407300 7522924 9403655 9626026 10832791 12744460 15930575 18807310 19252052 21665582 24065065 31861150 31972427 37614620 43331164 47018275 48130130 54163955 63722300 63944854 81821221 94036550 96260260 108327910 120325325 127889708 159862135 163642442 188073100 216655820 240650650 270819775 319724270 327284884 409106105 481301300 541639550 639448540 799310675 818212210 1083279100 1598621350 1636424420 2045530525 2401693487 3197242700 4091061050 4803386974 8182122100 9606773948 12008467435 24016934870 40828789279 48033869740 60042337175 81657578558 120084674350 163315157116 204143946395 240169348700 408287892790 816575785580 1020719731975 2041439463950 4082878927900