Search a number
-
+
148969753156 = 227219214512
BaseRepresentation
bin1000101010111101001…
…0100000101001000100
3112020111221212112220001
42022233102200221010
54420042224100111
6152234042451044
713522416003100
oct2125722405104
9466457775801
10148969753156
11581a55a6484
1224a55803a84
1311080cb1b43
1472d2a0c900
153d1d4261c1
hex22af4a0a44

148969753156 has 81 divisors (see below), whose sum is σ = 320281686207. Its totient is φ = 60442275600.

The previous prime is 148969753129. The next prime is 148969753183. The reversal of 148969753156 is 651357969841.

The square root of 148969753156 is 385966.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (148969753129) and next prime (148969753183).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102666231 + ... + 102667681.

Almost surely, 2148969753156 is an apocalyptic number.

148969753156 is the 385966-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148969753156

148969753156 is an abundant number, since it is smaller than the sum of its proper divisors (171311933051).

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

148969753156 is an equidigital number, since it uses as much as digits as its factorization.

148969753156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 1479 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 64.

Multiplying 148969753156 by its sum of digits (64), we get a square (9534064201984 = 30877282).

The spelling of 148969753156 in words is "one hundred forty-eight billion, nine hundred sixty-nine million, seven hundred fifty-three thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1444 1451 1862 2527 2902 3724 5054 5804 10108 10157 17689 20314 27569 35378 40628 55138 70756 71099 110276 142198 192983 284396 385966 523811 771932 1047622 1350881 2095244 2105401 2701762 3666677 4210802 5403524 7333354 8421604 14666708 14737807 25666739 29475614 40002619 51333478 58951228 80005238 102666956 103164649 160010476 206329298 280018333 412658596 560036666 760049761 1120073332 1520099522 1960128331 3040199044 3920256662 5320348327 7840513324 10640696654 21281393308 37242438289 74484876578 148969753156