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155516000046 = 2311191092414721
BaseRepresentation
bin1001000011010101111…
…0011101011100101110
3112212102011210100102120
42100311132131130232
510021444044000141
6155235411333410
714143555122021
oct2206536353456
9485364710376
10155516000046
115aa54800680
1226181bb1266
13118852a5a04
1477541b11b8
1540a2eaec66
hex243579d72e

155516000046 has 128 divisors (see below), whose sum is σ = 362014963200. Its totient is φ = 44043264000.

The previous prime is 155516000041. The next prime is 155516000063. The reversal of 155516000046 is 640000615551.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 155515999980 and 155516000016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155516000041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32938966 + ... + 32943686.

It is an arithmetic number, because the mean of its divisors is an integer number (2828241900).

Almost surely, 2155516000046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155516000046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181007481600).

155516000046 is an abundant number, since it is smaller than the sum of its proper divisors (206498963154).

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

155516000046 is a wasteful number, since it uses less digits than its factorization.

155516000046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106.

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 155516000046 its reverse (640000615551), we get a palindrome (795516615597).

The spelling of 155516000046 in words is "one hundred fifty-five billion, five hundred sixteen million, forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 11 19 22 33 38 57 66 109 114 209 218 241 327 418 482 627 654 723 1199 1254 1446 2071 2398 2651 3597 4142 4579 4721 5302 6213 7194 7953 9158 9442 12426 13737 14163 15906 22781 26269 27474 28326 45562 50369 51931 52538 68343 78807 89699 100738 103862 136686 151107 155793 157614 179398 269097 288959 302214 311586 499111 514589 538194 577918 866877 986689 998222 1029178 1137761 1497333 1543767 1733754 1973378 2275522 2960067 2994666 3087534 3413283 5490221 5660479 5920134 6826566 9777191 10980442 11320958 12515371 16470663 16981437 19554382 21617459 25030742 29331573 32941326 33962874 37546113 43234918 58663146 64852377 75092226 107549101 124015949 129704754 215098202 237792049 248031898 322647303 372047847 475584098 645294606 713376147 744095694 1364175439 1426752294 2356303031 2728350878 4092526317 4712606062 7068909093 8185052634 14137818186 25919333341 51838666682 77758000023 155516000046