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1028557780080 = 2435157117123311
BaseRepresentation
bin11101111011110101101…
…00100011010001110000
310122022212221220222001120
432331322310203101300
5113322441242430310
62104302442502240
7134211422610045
oct16757264432160
93568787828046
101028557780080
11367233063836
12147411b04980
1375cb991c06c
1437ad510d1cc
151bb4d95ab70
hexef7ad23470

1028557780080 has 160 divisors (see below), whose sum is σ = 3211716246528. Its totient is φ = 272290636800.

The previous prime is 1028557780049. The next prime is 1028557780123. The reversal of 1028557780080 is 800877558201.

It is a super-2 number, since 2×10285577800802 (a number of 25 digits) contains 22 as substring.

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, 44111625 + ... + 44134935.

Almost surely, 21028557780080 is an apocalyptic number.

1028557780080 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 1028557780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605858123264).

1028557780080 is an abundant number, since it is smaller than the sum of its proper divisors (2183158466448).

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

1028557780080 is a wasteful number, since it uses less digits than its factorization.

1028557780080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24655 (or 24649 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 51.

The spelling of 1028557780080 in words is "one trillion, twenty-eight billion, five hundred fifty-seven million, seven hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1171 1256 1570 1884 2342 2355 2512 3140 3513 3768 4684 4710 5855 6280 7026 7536 9368 9420 11710 12560 14052 17565 18736 18840 23311 23420 28104 35130 37680 46622 46840 56208 69933 70260 93244 93680 116555 139866 140520 183847 186488 233110 279732 281040 349665 367694 372976 466220 551541 559464 699330 735388 919235 932440 1103082 1118928 1398660 1470776 1838470 1864880 2206164 2757705 2797320 2941552 3659827 3676940 4412328 5515410 5594640 7319654 7353880 8824656 10979481 11030820 14639308 14707760 18299135 21958962 22061640 27297181 29278616 36598270 43917924 44123280 54594362 54897405 58557232 73196540 81891543 87835848 109188724 109794810 136485905 146393080 163783086 175671696 218377448 219589620 272971810 292786160 327566172 409457715 436754896 439179240 545943620 655132344 818915430 878358480 1091887240 1310264688 1637830860 2183774480 3275661720 4285657417 6551323440 8571314834 12856972251 17142629668 21428287085 25713944502 34285259336 42856574170 51427889004 64284861255 68570518672 85713148340 102855778008 128569722510 171426296680 205711556016 257139445020 342852593360 514278890040 1028557780080