Search a number
-
+
148923300096 = 2832167387047
BaseRepresentation
bin1000101010110010000…
…1010011100100000000
3112020101201110111021100
42022230201103210000
54414443331100341
6152225303054400
713521313110324
oct2125441234400
9466351414240
10148923300096
115818135861a
1224a42141400
131107449901c
1472ca799984
153d192ec3b6
hex22ac853900

148923300096 has 108 divisors (see below), whose sum is σ = 431954857152. Its totient is φ = 49343720448.

The previous prime is 148923300079. The next prime is 148923300103. The reversal of 148923300096 is 690003329841.

It is a happy number.

148923300096 is a `hidden beast` number, since 148 + 92 + 330 + 0 + 0 + 96 = 666.

It is a super-2 number, since 2×1489233000962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191245 + ... + 578291.

Almost surely, 2148923300096 is an apocalyptic number.

148923300096 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 148923300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215977428576).

148923300096 is an abundant number, since it is smaller than the sum of its proper divisors (283031557056).

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

148923300096 is a wasteful number, since it uses less digits than its factorization.

148923300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387236 (or 387219 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 148923300096 in words is "one hundred forty-eight billion, nine hundred twenty-three million, three hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 576 668 768 1002 1152 1336 1503 2004 2304 2672 3006 4008 5344 6012 8016 10688 12024 16032 21376 24048 32064 42752 48096 64128 96192 128256 192384 384768 387047 774094 1161141 1548188 2322282 3096376 3483423 4644564 6192752 6966846 9289128 12385504 13933692 18578256 24771008 27867384 37156512 49542016 55734768 64636849 74313024 99084032 111469536 129273698 148626048 193910547 222939072 258547396 297252096 387821094 445878144 517094792 581731641 775642188 891756288 1034189584 1163463282 1551284376 2068379168 2326926564 3102568752 4136758336 4653853128 6205137504 8273516672 9307706256 12410275008 16547033344 18615412512 24820550016 37230825024 49641100032 74461650048 148923300096