Search a number
-
+
155323498104 = 23332933137841
BaseRepresentation
bin1001000010101000000…
…0000111111001111000
3112211220202120020102000
42100222000013321320
510021100303414404
6155204333341000
714136026643615
oct2205200077170
9484822506360
10155323498104
115a96607a065
1226129637760
1311854445538
1477367c150c
154091137339
hex242a007e78

155323498104 has 128 divisors (see below), whose sum is σ = 434365243200. Its totient is φ = 51426385920.

The previous prime is 155323498073. The next prime is 155323498111. The reversal of 155323498104 is 401894323551.

155323498104 is a `hidden beast` number, since 1 + 5 + 53 + 2 + 3 + 498 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 155323498104.

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, 19805224 + ... + 19813064.

Almost surely, 2155323498104 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 155323498104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217182621600).

155323498104 is an abundant number, since it is smaller than the sum of its proper divisors (279041745096).

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

155323498104 is a wasteful number, since it uses less digits than its factorization.

155323498104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8452 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 155323498104 in words is "one hundred fifty-five billion, three hundred twenty-three million, four hundred ninety-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 293 313 586 626 879 939 1172 1252 1758 1878 2344 2504 2637 2817 3516 3756 5274 5634 7032 7512 7841 7911 8451 10548 11268 15682 15822 16902 21096 22536 23523 31364 31644 33804 47046 62728 63288 67608 70569 91709 94092 141138 183418 188184 211707 275127 282276 366836 423414 550254 564552 733672 825381 846828 1100508 1650762 1693656 2201016 2297413 2454233 2476143 3301524 4594826 4908466 4952286 6603048 6892239 7362699 9189652 9816932 9904572 13784478 14725398 18379304 19633864 19809144 20676717 22088097 27568956 29450796 41353434 44176194 55137912 58901592 62030151 66264291 82706868 88352388 124060302 132528582 165413736 176704776 248120604 265057164 496241208 530114328 719090269 1438180538 2157270807 2876361076 4314541614 5752722152 6471812421 8629083228 12943624842 17258166456 19415437263 25887249684 38830874526 51774499368 77661749052 155323498104