Search a number
-
+
152840285801216 = 2813373139139541
BaseRepresentation
bin100010110000000111100110…
…111100010100101100000000
3202001011101111022022010102222
4202300013212330110230000
5130013113401131114331
61301021505154030212
744123226522546116
oct4260074674245400
9661141438263388
10152840285801216
1144777223884532
121518557a578368
136738a143c8240
1429a571b757ab6
1512a0ad733cb7b
hex8b01e6f14b00

152840285801216 has 144 divisors (see below), whose sum is σ = 337450557443328. Its totient is φ = 68631216537600.

The previous prime is 152840285801207. The next prime is 152840285801263. The reversal of 152840285801216 is 612108582048251.

152840285801216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 3865342406 + ... + 3865381946.

It is an arithmetic number, because the mean of its divisors is an integer number (2343406648912).

Almost surely, 2152840285801216 is an apocalyptic number.

152840285801216 is a gapful number since it is divisible by the number (16) 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 152840285801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168725278721664).

152840285801216 is an abundant number, since it is smaller than the sum of its proper divisors (184610271642112).

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

152840285801216 is a wasteful number, since it uses less digits than its factorization.

152840285801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70998 (or 70984 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 53.

The spelling of 152840285801216 in words is "one hundred fifty-two trillion, eight hundred forty billion, two hundred eighty-five million, eight hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 592 832 962 1184 1664 1924 2368 3328 3848 4736 7696 9472 15392 30784 31391 39541 61568 62782 79082 123136 125564 158164 251128 316328 408083 502256 514033 632656 816166 1004512 1028066 1161467 1265312 1463017 1632332 2009024 2056132 2322934 2530624 2926034 3264664 4018048 4112264 4645868 5061248 5852068 6529328 8036096 8224528 9291736 10122496 11704136 13058656 15099071 16449056 18583472 19019221 23408272 26117312 30198142 32898112 37166944 38038442 46816544 52234624 60396284 65796224 74333888 76076884 93633088 104469248 120792568 131592448 148667776 152153768 187266176 241585136 297335552 304307536 374532352 483170272 608615072 966340544 1217230144 1241231531 1932681088 2434460288 2482463062 3865362176 4868920576 4964926124 9929852248 16136009903 19859704496 32272019806 39719408992 45925566647 64544039612 79438817984 91851133294 129088079224 158877635968 183702266588 258176158448 317755271936 367404533176 516352316896 597032366411 734809066352 1032704633792 1194064732822 1469618132704 2065409267584 2388129465644 2939236265408 4130818535168 4776258931288 5878472530816 9552517862576 11756945061632 19105035725152 38210071450304 76420142900608 152840285801216