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189312660992 = 2971331131071
BaseRepresentation
bin1011000001001111101…
…0011111011000000000
3200002122112011121111202
42300103322133120000
511100203020122432
6222545151200332
716451226032150
oct2602372373000
9602575147452
10189312660992
1173318075224
12308345160a8
1314b10106440
14923c95c760
154dd0095462
hex2c13e9f600

189312660992 has 160 divisors (see below), whose sum is σ = 480566575104. Its totient is φ = 72476467200.

The previous prime is 189312660973. The next prime is 189312661009. The reversal of 189312660992 is 299066213981.

It is a super-2 number, since 2×1893126609922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378817 + ... + 1509887.

Almost surely, 2189312660992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189312660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240283287552).

189312660992 is an abundant number, since it is smaller than the sum of its proper divisors (291253914112).

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

189312660992 is a wasteful number, since it uses less digits than its factorization.

189312660992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131140 (or 131124 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 56.

The spelling of 189312660992 in words is "one hundred eighty-nine billion, three hundred twelve million, six hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 256 364 403 416 434 448 496 512 728 806 832 868 896 992 1456 1612 1664 1736 1792 1984 2821 2912 3224 3328 3472 3584 3968 5642 5824 6448 6656 6944 7936 11284 11648 12896 13888 15872 22568 23296 25792 27776 45136 46592 51584 55552 90272 103168 111104 131071 180544 206336 262142 361088 524284 722176 917497 1048568 1444352 1703923 1834994 2097136 3407846 3669988 4063201 4194272 6815692 7339976 8126402 8388544 11927461 13631384 14679952 16252804 16777088 23854922 27262768 28442407 29359904 32505608 33554176 47709844 52821613 54525536 56884814 58719808 65011216 67108352 95419688 105643226 109051072 113769628 117439616 130022432 190839376 211286452 218102144 227539256 234879232 260044864 369751291 381678752 422572904 436204288 455078512 469758464 520089728 739502582 763357504 845145808 872408576 910157024 1040179456 1479005164 1526715008 1690291616 1820314048 2080358912 2958010328 3053430016 3380583232 3640628096 5916020656 6106860032 6761166464 7281256192 11832041312 13522332928 14562512384 23664082624 27044665856 47328165248 94656330496 189312660992