Search a number
-
+
148365801353 = 72111964322531
BaseRepresentation
bin1000101000101101001…
…0100111011110001001
3112011221212102121202202
42022023102213132021
54412323121120403
6152054110005545
713501433334500
oct2121322473611
9464855377682
10148365801353
1157a15699560
12249074a68b5
1310cb5b31603
147276717837
153cd53c7688
hex228b4a7789

148365801353 has 48 divisors (see below), whose sum is σ = 198505117440. Its totient is φ = 109349805600.

The previous prime is 148365801329. The next prime is 148365801361. The reversal of 148365801353 is 353108563841.

It is not a de Polignac number, because 148365801353 - 226 = 148298692489 is a prime.

It is a super-2 number, since 2×1483658013532 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 148365801298 and 148365801307.

It is not an unprimeable number, because it can be changed into a prime (148365801053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6573698 + ... + 6596228.

It is an arithmetic number, because the mean of its divisors is an integer number (4135523280).

Almost surely, 2148365801353 is an apocalyptic number.

It is an amenable number.

148365801353 is a deficient number, since it is larger than the sum of its proper divisors (50139316087).

148365801353 is a wasteful number, since it uses less digits than its factorization.

148365801353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23218 (or 23211 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 148365801353 in words is "one hundred forty-eight billion, three hundred sixty-five million, eight hundred one thousand, three hundred fifty-three".

Divisors: 1 7 11 19 49 77 133 209 539 643 931 1463 4501 7073 10241 12217 22531 31507 49511 85519 134387 157717 247841 346577 428089 598633 940709 1104019 1734887 2996623 4708979 6584963 12144209 14487433 20976361 32962853 101412031 159361763 230739971 275261227 709884217 1115532341 1926828589 3027873497 7808726387 13487800123 21195114479 148365801353