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1416661735696 = 24192156612
BaseRepresentation
bin10100100111010111100…
…111101001100100010000
312000102122120222122222221
4110213113213221210100
5141202310401020241
63002445545310424
7204231125032654
oct24472747514420
95012576878887
101416661735696
114a6891687999
121aa685195414
13a378a7c298c
144c7d13d4a64
1526cb5cba5d1
hex149d79e9910

1416661735696 has 45 divisors (see below), whose sum is σ = 2897032587813. Its totient is φ = 671007447360.

The previous prime is 1416661735693. The next prime is 1416661735711. The reversal of 1416661735696 is 6965371666141.

The square root of 1416661735696 is 1190236.

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

It can be written as a sum of positive squares in only one way, i.e., 1403665735696 + 12996000000 = 1184764^2 + 114000^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1416661735693) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90450106 + ... + 90465766.

Almost surely, 21416661735696 is an apocalyptic number.

1416661735696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1416661735696 is the 1190236-th square number.

It is an amenable number.

1416661735696 is an abundant number, since it is smaller than the sum of its proper divisors (1480370852117).

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

1416661735696 is an frugal number, since it uses more digits than its factorization.

1416661735696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31368 (or 15682 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 61.

The spelling of 1416661735696 in words is "one trillion, four hundred sixteen billion, six hundred sixty-one million, seven hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 15661 31322 62644 125288 250576 297559 595118 1190236 2380472 4760944 5653621 11307242 22614484 45228968 90457936 245266921 490533842 981067684 1962135368 3924270736 4660071499 9320142998 18640285996 37280571992 74561143984 88541358481 177082716962 354165433924 708330867848 1416661735696