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127552027040 = 25529199138139
BaseRepresentation
bin111011011001010110…
…0010111100110100000
3110012020022122100000122
41312302230113212200
54042211304331130
6134332510335412
712133600224644
oct1666254274640
9405208570018
10127552027040
114a104880889
1220878aba568
13c049990319
14626031cc24
1534b7eb32e5
hex1db2b179a0

127552027040 has 96 divisors (see below), whose sum is σ = 313301520000. Its totient is φ = 49013572608.

The previous prime is 127552027003. The next prime is 127552027079. The reversal of 127552027040 is 40720255721.

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 15 ways as a sum of consecutive naturals, for example, 854291 + ... + 992429.

It is an arithmetic number, because the mean of its divisors is an integer number (3263557500).

Almost surely, 2127552027040 is an apocalyptic number.

127552027040 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 127552027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156650760000).

127552027040 is an abundant number, since it is smaller than the sum of its proper divisors (185749492960).

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

127552027040 is a wasteful number, since it uses less digits than its factorization.

127552027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138382 (or 138374 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 35.

The spelling of 127552027040 in words is "one hundred twenty-seven billion, five hundred fifty-two million, twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 199 232 290 398 464 580 796 928 995 1160 1592 1990 2320 3184 3980 4640 5771 6368 7960 11542 15920 23084 28855 31840 46168 57710 92336 115420 138139 184672 230840 276278 461680 552556 690695 923360 1105112 1381390 2210224 2762780 4006031 4420448 5525560 8012062 11051120 16024124 20030155 22102240 27489661 32048248 40060310 54979322 64096496 80120620 109958644 128192992 137448305 160241240 219917288 274896610 320482480 439834576 549793220 640964960 797200169 879669152 1099586440 1594400338 2199172880 3188800676 3986000845 4398345760 6377601352 7972001690 12755202704 15944003380 25510405408 31888006760 63776013520 127552027040