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138879863280 = 24335216129753
BaseRepresentation
bin1000000101010111100…
…0101000100111110000
3111021110202222001001000
42001111320220213300
54233411221111110
6143444525242000
713014400234404
oct2012570504760
9437422861030
10138879863280
1153998075914
1222aba703300
13101337b08c2
146a1696b104
15392c70e1c0
hex2055e289f0

138879863280 has 160 divisors (see below), whose sum is σ = 478601421120. Its totient is φ = 37016248320.

The previous prime is 138879863267. The next prime is 138879863341. The reversal of 138879863280 is 82368978831.

138879863280 is a `hidden beast` number, since 1 + 388 + 79 + 86 + 32 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4652884 + ... + 4682636.

It is an arithmetic number, because the mean of its divisors is an integer number (2991258882).

Almost surely, 2138879863280 is an apocalyptic number.

138879863280 is a gapful number since it is divisible by the number (10) 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 138879863280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239300710560).

138879863280 is an abundant number, since it is smaller than the sum of its proper divisors (339721557840).

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

138879863280 is a wasteful number, since it uses less digits than its factorization.

138879863280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31936 (or 31924 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 138879863280 in words is "one hundred thirty-eight billion, eight hundred seventy-nine million, eight hundred sixty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2161 4322 6483 8644 10805 12966 17288 19449 21610 25932 29753 32415 34576 38898 43220 51864 58347 59506 64830 77796 86440 89259 97245 103728 116694 119012 129660 148765 155592 172880 178518 194490 233388 238024 259320 267777 291735 297530 311184 357036 388980 446295 466776 476048 518640 535554 583470 595060 714072 777960 803331 892590 933552 1071108 1166940 1190120 1338885 1428144 1555920 1606662 1785180 2142216 2333880 2380240 2677770 3213324 3570360 4016655 4284432 4667760 5355540 6426648 7140720 8033310 10711080 12853296 16066620 21422160 32133240 64266480 64296233 128592466 192888699 257184932 321481165 385777398 514369864 578666097 642962330 771554796 964443495 1028739728 1157332194 1285924660 1543109592 1735998291 1928886990 2314664388 2571849320 2893330485 3086219184 3471996582 3857773980 4629328776 5143698640 5786660970 6943993164 7715547960 8679991455 9258657552 11573321940 13887986328 15431095920 17359982910 23146643880 27775972656 34719965820 46293287760 69439931640 138879863280