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1896942893472 = 2532113791579901
BaseRepresentation
bin11011100110101010100…
…110110111100110100000
320201100100012201101221200
4123212222212313212200
5222034414340042342
64011235445321200
7254023004360364
oct33465246674640
96640305641850
101896942893472
116715418a0370
12267782406200
13109b5b597473
1467b537dd2a4
15345256bd94c
hex1b9aa9b79a0

1896942893472 has 144 divisors (see below), whose sum is σ = 5900365205280. Its totient is φ = 573314112000.

The previous prime is 1896942893393. The next prime is 1896942893537. The reversal of 1896942893472 is 2743982496981.

1896942893472 is a `hidden beast` number, since 1 + 8 + 9 + 69 + 4 + 2 + 8 + 93 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1896942893472.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410722 + ... + 1990622.

It is an arithmetic number, because the mean of its divisors is an integer number (40974758370).

Almost surely, 21896942893472 is an apocalyptic number.

1896942893472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1896942893472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950182602640).

1896942893472 is an abundant number, since it is smaller than the sum of its proper divisors (4003422311808).

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

1896942893472 is a wasteful number, since it uses less digits than its factorization.

1896942893472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580307 (or 1580296 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 1896942893472 in words is "one trillion, eight hundred ninety-six billion, nine hundred forty-two million, eight hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 379 396 528 758 792 1056 1137 1516 1584 2274 3032 3168 3411 4169 4548 6064 6822 8338 9096 12128 12507 13644 16676 18192 25014 27288 33352 36384 37521 50028 54576 66704 75042 100056 109152 133408 150084 200112 300168 400224 600336 1200672 1579901 3159802 4739703 6319604 9479406 12639208 14219109 17378911 18958812 25278416 28438218 34757822 37917624 50556832 52136733 56876436 69515644 75835248 104273466 113752872 139031288 151670496 156410199 208546932 227505744 278062576 312820398 417093864 455011488 556125152 598782479 625640796 834187728 1197564958 1251281592 1668375456 1796347437 2395129916 2502563184 3592694874 4790259832 5005126368 5389042311 6586607269 7185389748 9580519664 10778084622 13173214538 14370779496 19161039328 19759821807 21556169244 26346429076 28741558992 39519643614 43112338488 52692858152 57483117984 59279465421 79039287228 86224676976 105385716304 118558930842 158078574456 172449353952 210771432608 237117861684 316157148912 474235723368 632314297824 948471446736 1896942893472