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1933807296996 = 223253243732
BaseRepresentation
bin11100001000111111111…
…001011010000111100100
320211212111100121010201100
4130020333321122013210
5223140414132000441
64040213453400100
7256466355545451
oct34107771320744
96755440533640
101933807296996
11686139894363
12272950199030
13110484b3a5a3
146984d788828
1535481c79cb6
hex1c23fe5a1e4

1933807296996 has 81 divisors (see below), whose sum is σ = 4983345739099. Its totient is φ = 632295498432.

The previous prime is 1933807296937. The next prime is 1933807297007. The reversal of 1933807296996 is 6996927083391.

The square root of 1933807296996 is 1390614.

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

1933807296996 is a `hidden beast` number, since 1 + 9 + 3 + 380 + 72 + 96 + 9 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172984455396 + 1760822841600 = 415914^2 + 1326960^2 .

It is a super-2 number, since 2×19338072969962 (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 26 ways as a sum of consecutive naturals, for example, 442213066 + ... + 442217438.

Almost surely, 21933807296996 is an apocalyptic number.

1933807296996 is the 1390614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1933807296996

1933807296996 is an abundant number, since it is smaller than the sum of its proper divisors (3049538442103).

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

1933807296996 is an frugal number, since it uses more digits than its factorization.

1933807296996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 1933807296996 in words is "one trillion, nine hundred thirty-three billion, eight hundred seven million, two hundred ninety-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2809 4373 5618 8427 8746 11236 13119 16854 17492 25281 26238 33708 39357 50562 52476 78714 101124 157428 231769 463538 695307 927076 1390614 2085921 2781228 4171842 8343684 12283757 19123129 24567514 36851271 38246258 49135028 57369387 73702542 76492516 110553813 114738774 147405084 172108161 221107626 229477548 344216322 442215252 688432644 1013525837 2027051674 3040577511 4054103348 6081155022 9121732533 12162310044 18243465066 36486930132 53716869361 107433738722 161150608083 214867477444 322301216166 483451824249 644602432332 966903648498 1933807296996