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155393061408 = 25321367619471
BaseRepresentation
bin1001000010111000100…
…1011111001000100000
3112212002121110102022200
42100232021133020200
510021221110431113
6155215300333200
714140533141234
oct2205611371040
9485077412280
10155393061408
115a9a1371aa2
12261489a4200
1311865990360
147741b2c5c4
1540972c8873
hex242e25f220

155393061408 has 144 divisors (see below), whose sum is σ = 482994884736. Its totient is φ = 47099543040.

The previous prime is 155393061407. The next prime is 155393061413. The reversal of 155393061408 is 804160393551.

155393061408 is a `hidden beast` number, since 1 + 553 + 9 + 30 + 61 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (155393061407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58888 + ... + 560583.

It is an arithmetic number, because the mean of its divisors is an integer number (3354131144).

Almost surely, 2155393061408 is an apocalyptic number.

155393061408 is a gapful number since it is divisible by the number (18) 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 155393061408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241497442368).

155393061408 is an abundant number, since it is smaller than the sum of its proper divisors (327601823328).

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

155393061408 is a wasteful number, since it uses less digits than its factorization.

155393061408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619567 (or 619556 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 155393061408 in words is "one hundred fifty-five billion, three hundred ninety-three million, sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 201 208 234 268 288 312 402 416 468 536 603 624 804 871 936 1072 1206 1248 1608 1742 1872 2144 2412 2613 3216 3484 3744 4824 5226 6432 6968 7839 9648 10452 13936 15678 19296 20904 27872 31356 41808 62712 83616 125424 250848 619471 1238942 1858413 2477884 3716826 4955768 5575239 7433652 8053123 9911536 11150478 14867304 16106246 19823072 22300956 24159369 29734608 32212492 41504557 44601912 48318738 59469216 64424984 72478107 83009114 89203824 96637476 124513671 128849968 144956214 166018228 178407648 193274952 249027342 257699936 289912428 332036456 373541013 386549904 498054684 539559241 579824856 664072912 747082026 773099808 996109368 1079118482 1159649712 1328145824 1494164052 1618677723 1992218736 2158236964 2319299424 2988328104 3237355446 3984437472 4316473928 4856033169 5976656208 6474710892 8632947856 9712066338 11953312416 12949421784 17265895712 19424132676 25898843568 38848265352 51797687136 77696530704 155393061408