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1002277172050 = 2527112311318771
BaseRepresentation
bin11101001010111000101…
…11111111001101010010
310112211001102022202021121
432211130113333031102
5112410130424001200
62044234554112454
7132261235252420
oct16453427771522
93484042282247
101002277172050
11357077374a70
121422b871b72a
137368bcaa31b
1436720a52110
151b111628e1a
hexe95c5ff352

1002277172050 has 96 divisors (see below), whose sum is σ = 2425295913984. Its totient is φ = 298815528000.

The previous prime is 1002277171999. The next prime is 1002277172077. The reversal of 1002277172050 is 502717722001.

It is a super-2 number, since 2×10022771720502 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002277171997 and 1002277172015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5570836 + ... + 5747935.

It is an arithmetic number, because the mean of its divisors is an integer number (25263499104).

Almost surely, 21002277172050 is an apocalyptic number.

1002277172050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002277172050 is an abundant number, since it is smaller than the sum of its proper divisors (1423018741934).

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

1002277172050 is a wasteful number, since it uses less digits than its factorization.

1002277172050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11318824 (or 11318819 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 34.

The spelling of 1002277172050 in words is "one trillion, two billion, two hundred seventy-seven million, one hundred seventy-two thousand, fifty".

Divisors: 1 2 5 7 10 11 14 22 23 25 35 46 50 55 70 77 110 115 154 161 175 230 253 275 322 350 385 506 550 575 770 805 1150 1265 1610 1771 1925 2530 3542 3850 4025 6325 8050 8855 12650 17710 44275 88550 11318771 22637542 56593855 79231397 113187710 124506481 158462794 249012962 260331733 282969275 396156985 520663466 565938550 622532405 792313970 871545367 1245064810 1301658665 1743090734 1822322131 1980784925 2603317330 2863649063 3112662025 3644644262 3961569850 4357726835 5727298126 6225324050 6508293325 8715453670 9111610655 13016586650 14318245315 18223221310 20045543441 21788634175 28636490630 40091086882 43577268350 45558053275 71591226575 91116106550 100227717205 143182453150 200455434410 501138586025 1002277172050