Search a number
-
+
150053412480 = 2735613312743
BaseRepresentation
bin1000101110111111100…
…0010101111010000000
3112100022110222011000120
42023233320111322000
54424302133144410
6152533353220240
713561314650526
oct2135770257200
9470273864016
10150053412480
115870126a7a4
12250b8701680
13111c4660b8a
1473968d6316
153d83630570
hex22efe15e80

150053412480 has 128 divisors (see below), whose sum is σ = 478410779520. Its totient is φ = 40004579328.

The previous prime is 150053412473. The next prime is 150053412493. The reversal of 150053412480 is 84214350051.

150053412480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11768989 + ... + 11781731.

It is an arithmetic number, because the mean of its divisors is an integer number (3737584215).

Almost surely, 2150053412480 is an apocalyptic number.

150053412480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150053412480 is an abundant number, since it is smaller than the sum of its proper divisors (328357367040).

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

150053412480 is a wasteful number, since it uses less digits than its factorization.

150053412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18898 (or 18886 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 150053412480 in words is "one hundred fifty billion, fifty-three million, four hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6133 12266 12743 18399 24532 25486 30665 36798 38229 49064 50972 61330 63715 73596 76458 91995 98128 101944 122660 127430 147192 152916 183990 191145 196256 203888 245320 254860 294384 305832 367980 382290 392512 407776 490640 509720 588768 611664 735960 764580 785024 815552 981280 1019440 1177536 1223328 1471920 1529160 1631104 1962560 2038880 2355072 2446656 2943840 3058320 3925120 4077760 4893312 5887680 6116640 8155520 11775360 12233280 24466560 78152819 156305638 234458457 312611276 390764095 468916914 625222552 781528190 937833828 1172292285 1250445104 1563056380 1875667656 2344584570 2500890208 3126112760 3751335312 4689169140 5001780416 6252225520 7502670624 9378338280 10003560832 12504451040 15005341248 18756676560 25008902080 30010682496 37513353120 50017804160 75026706240 150053412480