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1890331734690 = 233578111123311
BaseRepresentation
bin11011100000100000100…
…011010011001010100010
320200201021110122202001000
4123200200203103022202
5221432344411002230
64004223441252430
7253400116426110
oct33404043231242
96621243582030
101890331734690
11669759a8a983
12266438334116
131093469c69a9
14676c7780ab0
153428a0b1b60
hex1b8208d32a2

1890331734690 has 128 divisors (see below), whose sum is σ = 5761767997440. Its totient is φ = 432019051200.

The previous prime is 1890331734677. The next prime is 1890331734701. The reversal of 1890331734690 is 964371330981.

It is a happy number.

1890331734690 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 3 + 3 + 173 + 469 + 0 = 666.

It is a super-2 number, since 2×18903317346902 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15268135 + ... + 15391445.

It is an arithmetic number, because the mean of its divisors is an integer number (45013812480).

Almost surely, 21890331734690 is an apocalyptic number.

1890331734690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1890331734690 is an abundant number, since it is smaller than the sum of its proper divisors (3871436262750).

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

1890331734690 is a wasteful number, since it uses less digits than its factorization.

1890331734690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131445 (or 131439 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1890331734690 in words is "one trillion, eight hundred ninety billion, three hundred thirty-one million, seven hundred thirty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 8111 16222 24333 40555 48666 56777 72999 81110 113554 121665 123311 145998 170331 218997 243330 246622 283885 340662 364995 369933 437994 510993 567770 616555 729990 739866 851655 863177 1021986 1094985 1109799 1233110 1532979 1703310 1726354 1849665 2189970 2219598 2554965 2589531 3065958 3329397 3699330 4315885 5109930 5179062 5548995 6658794 7664895 7768593 8631770 11097990 12947655 15329790 15537186 16646985 23305779 25895310 33293970 38842965 46611558 77685930 116528895 233057790 1000175521 2000351042 3000526563 5000877605 6001053126 7001228647 9001579689 10001755210 14002457294 15002632815 18003159378 21003685941 27004739067 30005265630 35006143235 42007371882 45007898445 54009478134 63011057823 70012286470 90015796890 105018429705 126022115646 135023695335 189033173469 210036859410 270047390670 315055289115 378066346938 630110578230 945165867345 1890331734690