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1985492355625 = 5415723592
BaseRepresentation
bin11100111001001000100…
…100010000101000101001
321000210220101011011020001
4130321020210100220221
5230012242020340000
64120042251503001
7263306231363542
oct34711044205051
97023811134201
101985492355625
116a6051744949
12280975457a61
13115300a24b0c
146c153bd14c9
15369a952146a
hex1ce48910a29

1985492355625 has 45 divisors (see below), whose sum is σ = 2503949641347. Its totient is φ = 1573880412000.

The previous prime is 1985492355577. The next prime is 1985492355689. The reversal of 1985492355625 is 5265532945891.

The square root of 1985492355625 is 1409075.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1824976740889 + 160515614736 = 1350917^2 + 400644^2 .

It is not a de Polignac number, because 1985492355625 - 211 = 1985492353577 is a prime.

It is a super-2 number, since 2×19854923556252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5530619196 + ... + 5530619554.

Almost surely, 21985492355625 is an apocalyptic number.

1985492355625 is the 1409075-th square number.

1985492355625 is the 704538-th centered octagonal number.

It is an amenable number.

1985492355625 is a deficient number, since it is larger than the sum of its proper divisors (518457285722).

1985492355625 is an frugal number, since it uses more digits than its factorization.

1985492355625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 521 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 64.

Multiplying 1985492355625 by its sum of digits (64), we get a square (127071510760000 = 112726002).

The spelling of 1985492355625 in words is "one trillion, nine hundred eighty-five billion, four hundred ninety-two million, three hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 157 359 625 785 1795 3925 8975 19625 24649 44875 56363 98125 123245 128881 224375 281815 616225 644405 1409075 3081125 3222025 7045375 8848991 15405625 16110125 20234317 35226875 44244955 80550625 101171585 221224775 505857925 1106123875 2529289625 3176787769 5530619375 12646448125 15883938845 79419694225 397098471125 1985492355625