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189516516 = 223723137281
BaseRepresentation
bin10110100101111…
…00101011100100
3111012121102210020
423102330223210
5342004012031
630445555140
74460602200
oct1322745344
9435542706
10189516516
1197a82622
1253575ab0
1330356667
141b253b00
1511988096
hexb4bcae4

189516516 has 144 divisors (see below), whose sum is σ = 547287552. Its totient is φ = 50803200.

The previous prime is 189516491. The next prime is 189516517. The reversal of 189516516 is 615615981.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (189516517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674296 + ... + 674576.

It is an arithmetic number, because the mean of its divisors is an integer number (3800608).

Almost surely, 2189516516 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 189516516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273643776).

189516516 is an abundant number, since it is smaller than the sum of its proper divisors (357771036).

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

189516516 is a wasteful number, since it uses less digits than its factorization.

189516516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 361 counting only the distinct ones).

The product of its digits is 64800, while the sum is 42.

The square root of 189516516 is about 13766.4997729997. The cubic root of 189516516 is about 574.4016621551.

The spelling of 189516516 in words is "one hundred eighty-nine million, five hundred sixteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 37 42 49 62 74 84 93 98 111 124 147 148 186 196 217 222 259 281 294 372 434 444 518 562 588 651 777 843 868 1036 1124 1147 1302 1519 1554 1686 1813 1967 2294 2604 3038 3108 3372 3441 3626 3934 4557 4588 5439 5901 6076 6882 7252 7868 8029 8711 9114 10397 10878 11802 13764 13769 16058 17422 18228 20794 21756 23604 24087 26133 27538 31191 32116 34844 41307 41588 48174 52266 55076 56203 60977 62382 72779 82614 96348 104532 112406 121954 124764 145558 165228 168609 182931 218337 224812 243908 291116 322307 337218 365862 426839 436674 509453 644614 674436 731724 853678 873348 966921 1018906 1280517 1289228 1528359 1707356 1933842 2037812 2256149 2561034 3056718 3867684 4512298 5122068 6113436 6768447 9024596 13536894 15793043 27073788 31586086 47379129 63172172 94758258 189516516