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1979985187752 = 23311133171819933
BaseRepresentation
bin11100110100000000010…
…100000101001110101000
321000021200120110001010120
4130310000110011032220
5224420002202002002
64113332002043240
7263022610256535
oct34640024051650
97007616401116
101979985187752
116a3786025140
1227b899049520
13114933aa16c0
146bb9062dd8c
1536785cd7cbc
hex1cd005053a8

1979985187752 has 128 divisors (see below), whose sum is σ = 5833689240960. Its totient is φ = 552094571520.

The previous prime is 1979985187681. The next prime is 1979985187781. The reversal of 1979985187752 is 2577815899791.

It is a Harshad number since it is a multiple of its sum of digits (78).

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, 177978 + ... + 1997910.

It is an arithmetic number, because the mean of its divisors is an integer number (45575697195).

Almost surely, 21979985187752 is an apocalyptic number.

1979985187752 is a gapful number since it is divisible by the number (12) 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 1979985187752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916844620480).

1979985187752 is an abundant number, since it is smaller than the sum of its proper divisors (3853704053208).

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

1979985187752 is a wasteful number, since it uses less digits than its factorization.

1979985187752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820283 (or 1820279 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 78.

The spelling of 1979985187752 in words is "one trillion, nine hundred seventy-nine billion, nine hundred eighty-five million, one hundred eighty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 317 429 572 634 858 951 1144 1268 1716 1902 2536 3432 3487 3804 4121 6974 7608 8242 10461 12363 13948 16484 20922 24726 27896 32968 41844 45331 49452 83688 90662 98904 135993 181324 271986 362648 543972 1087944 1819933 3639866 5459799 7279732 10919598 14559464 20019263 21839196 23659129 40038526 43678392 47318258 60057789 70977387 80077052 94636516 120115578 141954774 160154104 189273032 240231156 260250419 283909548 480462312 520500838 567819096 576918761 780751257 1041001676 1153837522 1561502514 1730756283 2082003352 2307675044 3123005028 3461512566 4615350088 6246010056 6346106371 6923025132 7499943893 12692212742 13846050264 14999887786 19038319113 22499831679 25384425484 29999775572 38076638226 44999663358 50768850968 59999551144 76153276452 82499382823 89999326716 152306552904 164998765646 179998653432 247498148469 329997531292 494996296938 659995062584 989992593876 1979985187752