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1918518631236 = 2232232100372
BaseRepresentation
bin11011111010110000100…
…111110001101101000100
320210102000212021110001100
4123322300213301231010
5222413111232144421
64025204424300100
7255415452204054
oct33726047615504
96712025243040
101918518631236
1167a70382a4a9
1226b9a4011630
1310bbb95616bc
1468bdd0a1564
1534d89944c26
hex1beb09f1b44

1918518631236 has 81 divisors (see below), whose sum is σ = 5070113054461. Its totient is φ = 611640647904.

The previous prime is 1918518631231. The next prime is 1918518631247. The reversal of 1918518631236 is 6321368158191.

The square root of 1918518631236 is 1385106.

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

1918518631236 is a `hidden beast` number, since 1 + 91 + 8 + 518 + 6 + 3 + 1 + 2 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 641745188100 + 1276773443136 = 801090^2 + 1129944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1918518631231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 191139610 + ... + 191149646.

Almost surely, 21918518631236 is an apocalyptic number.

1918518631236 is the 1385106-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1918518631236

1918518631236 is an abundant number, since it is smaller than the sum of its proper divisors (3151594423225).

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

1918518631236 is an equidigital number, since it uses as much as digits as its factorization.

1918518631236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20130 (or 10065 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 1918518631236 in words is "one trillion, nine hundred eighteen billion, five hundred eighteen million, six hundred thirty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 10037 19044 20074 30111 40148 60222 90333 120444 180666 230851 361332 461702 692553 923404 1385106 2077659 2770212 4155318 5309573 8310636 10619146 15928719 21238292 31857438 47786157 63714876 95572314 100741369 191144628 201482738 302224107 402965476 604448214 906672321 1208896428 1813344642 2317051487 3626689284 4634102974 6951154461 9268205948 13902308922 20853463383 27804617844 41706926766 53292184201 83413853532 106584368402 159876552603 213168736804 319753105206 479629657809 639506210412 959259315618 1918518631236