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189834420336 = 243111727178041
BaseRepresentation
bin1011000011001100000…
…0110110000001110000
3200010222212221201202220
42300303000312001300
511102240102422321
6223113030241040
716500162643341
oct2606300660160
9603885851686
10189834420336
11735656437a0
123095b1b6180
1314b94239692
14928bd7a0c8
154e10caa9c6
hex2c33036070

189834420336 has 160 divisors (see below), whose sum is σ = 568555324416. Its totient is φ = 53941248000.

The previous prime is 189834420299. The next prime is 189834420341. The reversal of 189834420336 is 633024438981.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2393476 + ... + 2471516.

Almost surely, 2189834420336 is an apocalyptic number.

189834420336 is a gapful number since it is divisible by the number (16) 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 189834420336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284277662208).

189834420336 is an abundant number, since it is smaller than the sum of its proper divisors (378720904080).

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

189834420336 is a wasteful number, since it uses less digits than its factorization.

189834420336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78351 (or 78345 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 189834420336 in words is "one hundred eighty-nine billion, eight hundred thirty-four million, four hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 271 272 374 408 528 542 561 748 813 816 1084 1122 1496 1626 2168 2244 2981 2992 3252 4336 4488 4607 5962 6504 8943 8976 9214 11924 13008 13821 17886 18428 23848 27642 35772 36856 47696 50677 55284 71544 73712 78041 101354 110568 143088 152031 156082 202708 221136 234123 304062 312164 405416 468246 608124 624328 810832 858451 936492 1216248 1248656 1326697 1716902 1872984 2432496 2575353 2653394 3433804 3745968 3980091 5150706 5306788 6867608 7960182 10301412 10613576 13735216 14593667 15920364 20602824 21149111 21227152 29187334 31840728 41205648 42298222 43781001 58374668 63447333 63681456 84596444 87562002 116749336 126894666 169192888 175124004 232640221 233498672 253789332 338385776 350248008 359534887 465280442 507578664 697920663 700496016 719069774 930560884 1015157328 1078604661 1395841326 1438139548 1861121768 2157209322 2791682652 2876279096 3722243536 3954883757 4314418644 5583365304 5752558192 7909767514 8628837288 11166730608 11864651271 15819535028 17257674576 23729302542 31639070056 47458605084 63278140112 94917210168 189834420336