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1697994031041 = 327211256412
BaseRepresentation
bin11000101101011000010…
…101001011111111000001
320000022211010100001010100
4120231120111023333001
5210304442432443131
63340014144553013
7233450606060400
oct30553025137701
96008733301110
101697994031041
115a512a400400
122350ba922769
13c4173c7b5a9
145c27d17b637
152e27e67c7e6
hex18b5854bfc1

1697994031041 has 81 divisors (see below), whose sum is σ = 3136599321219. Its totient is φ = 881918452800.

The previous prime is 1697994031009. The next prime is 1697994031049. The reversal of 1697994031041 is 1401304997961.

The square root of 1697994031041 is 1303071.

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

1697994031041 is a `hidden beast` number, since 1 + 69 + 79 + 9 + 403 + 104 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1678784071041 + 19209960000 = 1295679^2 + 138600^2 .

It is not a de Polignac number, because 1697994031041 - 25 = 1697994031009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1697994031049) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 301006581 + ... + 301012221.

Almost surely, 21697994031041 is an apocalyptic number.

1697994031041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1697994031041 is the 1303071-st square number.

1697994031041 is the 651536-th centered octagonal number.

It is an amenable number.

1697994031041 is a deficient number, since it is larger than the sum of its proper divisors (1438605290178).

1697994031041 is an frugal number, since it uses more digits than its factorization.

1697994031041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11324 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1697994031041 in words is "one trillion, six hundred ninety-seven billion, nine hundred ninety-four million, thirty-one thousand, forty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5641 5929 7623 16923 17787 39487 50769 53361 62051 118461 186153 276409 355383 434357 558459 682561 829227 1303071 2047683 2487681 3040499 3909213 4777927 6143049 9121497 14333781 27364491 31820881 33445489 43001343 95462643 100336467 222746167 286387929 301009401 350029691 668238501 1050089073 1559223169 2004715503 2450207837 3150267219 3850326601 4677669507 7350623511 11550979803 14033008521 17151454859 22051870533 26952286207 34652939409 51454364577 80856858621 154363093731 188666003449 242570575863 565998010347 1697994031041