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3829018997376 = 27323323801213
BaseRepresentation
bin110111101110000011010…
…100010011001010000000
3111120001100220202211012100
4313232003110103022000
51000213312330404001
612051005501430400
7543431442316026
oct67560324231200
914501326684170
103829018997376
111246972446731
1251a10a86b400
1321a0c8856431
14d347b2a2716
1569905482586
hex37b83513280

3829018997376 has 48 divisors (see below), whose sum is σ = 11018401024410. Its totient is φ = 1276339665408.

The previous prime is 3829018997359. The next prime is 3829018997383. The reversal of 3829018997376 is 6737998109283.

3829018997376 is a `hidden beast` number, since 3 + 8 + 2 + 90 + 1 + 89 + 97 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1983703233600 + 1845315763776 = 1408440^2 + 1358424^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×38290189973762 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1661899455 + ... + 1661901758.

Almost surely, 23829018997376 is an apocalyptic number.

3829018997376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3829018997376 is an abundant number, since it is smaller than the sum of its proper divisors (7189382027034).

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

3829018997376 is a wasteful number, since it uses less digits than its factorization.

3829018997376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323801233 (or 3323801218 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 3829018997376 in words is "three trillion, eight hundred twenty-nine billion, eighteen million, nine hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3323801213 6647602426 9971403639 13295204852 19942807278 26590409704 29914210917 39885614556 53180819408 59828421834 79771229112 106361638816 119656843668 159542458224 212723277632 239313687336 319084916448 425446555264 478627374672 638169832896 957254749344 1276339665792 1914509498688 3829018997376