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1067345199376 = 24172151932
BaseRepresentation
bin11111000100000101011…
…10110100000100010000
310210001000010022000112121
433202002232310010100
5114441410332340001
62134155343504024
7140053544334121
oct17420256640420
93701003260477
101067345199376
113817275a2a65
12152a378b8014
137985b6c3a41
1439934634048
151cb6dc6e6a1
hexf882bb4110

1067345199376 has 45 divisors (see below), whose sum is σ = 2196927530031. Its totient is φ = 502247033856.

The previous prime is 1067345199329. The next prime is 1067345199449. The reversal of 1067345199376 is 6739915437601.

The square root of 1067345199376 is 1033124.

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

It can be written as a sum of positive squares in 4 ways, for example, as 707153173776 + 360192025600 = 840924^2 + 600160^2 .

It is a super-2 number, since 2×10673451993762 (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 8 ways as a sum of consecutive naturals, for example, 70244836 + ... + 70260028.

Almost surely, 21067345199376 is an apocalyptic number.

1067345199376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1067345199376 is the 1033124-th square number.

It is an amenable number.

1067345199376 is an abundant number, since it is smaller than the sum of its proper divisors (1129582330655).

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

1067345199376 is an frugal number, since it uses more digits than its factorization.

1067345199376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30428 (or 15212 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 61.

The spelling of 1067345199376 in words is "one trillion, sixty-seven billion, three hundred forty-five million, one hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 15193 30386 60772 121544 243088 258281 516562 1033124 2066248 4132496 4390777 8781554 17563108 35126216 70252432 230827249 461654498 923308996 1846617992 3693235984 3924063233 7848126466 15696252932 31392505864 62785011728 66709074961 133418149922 266836299844 533672599688 1067345199376