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189412618040 = 235191621153749
BaseRepresentation
bin1011000001100111011…
…1110010111100111000
3200002220111020221210122
42300121313302330320
511100404112234130
6223003121432412
716453551455132
oct2603167627470
9602814227718
10189412618040
1173369537458
1230861a9b708
1314b27a33519
14924bd3c052
154dd8c3c2e5
hex2c19df2f38

189412618040 has 64 divisors (see below), whose sum is σ = 448888500000. Its totient is φ = 71732666880.

The previous prime is 189412618033. The next prime is 189412618051. The reversal of 189412618040 is 40816214981.

It is a junction number, because it is equal to n+sod(n) for n = 189412617982 and 189412618000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155086 + ... + 1308834.

Almost surely, 2189412618040 is an apocalyptic number.

189412618040 is a gapful number since it is divisible by the number (10) 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 189412618040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224444250000).

189412618040 is an abundant number, since it is smaller than the sum of its proper divisors (259475881960).

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

189412618040 is a wasteful number, since it uses less digits than its factorization.

189412618040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155400 (or 155396 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The spelling of 189412618040 in words is "one hundred eighty-nine billion, four hundred twelve million, six hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1621 3242 6484 8105 12968 16210 30799 32420 61598 64840 123196 153749 153995 246392 307498 307990 614996 615980 768745 1229992 1231960 1537490 2921231 3074980 5842462 6149960 11684924 14606155 23369848 29212310 58424620 116849240 249227129 498454258 996908516 1246135645 1993817032 2492271290 4735315451 4984542580 9470630902 9969085160 18941261804 23676577255 37882523608 47353154510 94706309020 189412618040