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148263210004 = 227213438771543
BaseRepresentation
bin1000101000010100101…
…1010000110000010100
3112011200201101102220011
42022011023100300110
54412120340210004
6152040003050004
713466046330400
oct2120513206024
9464621342804
10148263210004
1157972798118
1224899070904
1310c9a7c1480
147266c50100
153ccb3b0004
hex22852d0c14

148263210004 has 144 divisors (see below), whose sum is σ = 333192655488. Its totient is φ = 57187130112.

The previous prime is 148263209987. The next prime is 148263210097. The reversal of 148263210004 is 400012362841.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 96086857 + ... + 96088399.

Almost surely, 2148263210004 is an apocalyptic number.

148263210004 is a gapful number since it is divisible by the number (14) 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 148263210004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166596327744).

148263210004 is an abundant number, since it is smaller than the sum of its proper divisors (184929445484).

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

148263210004 is a wasteful number, since it uses less digits than its factorization.

148263210004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 148263210004 its reverse (400012362841), we get a palindrome (548275572845).

The spelling of 148263210004 in words is "one hundred forty-eight billion, two hundred sixty-three million, two hundred ten thousand, four".

Divisors: 1 2 4 7 13 14 26 28 43 49 52 86 91 98 172 182 196 301 364 559 602 637 877 1118 1204 1274 1543 1754 2107 2236 2548 3086 3508 3913 4214 6139 6172 7826 8428 10801 11401 12278 15652 20059 21602 22802 24556 27391 37711 40118 42973 43204 45604 54782 66349 75422 75607 79807 80236 85946 109564 132698 140413 150844 151214 159614 171892 263977 265396 280826 302428 319228 464443 490243 527954 558649 561652 862537 928886 980486 982891 1055908 1117298 1353211 1725074 1847839 1857772 1960972 1965782 2234596 2706422 3251101 3431701 3450148 3695678 3931564 5412844 6037759 6502202 6863402 7391356 9472477 12075518 13004404 13726804 17591743 18944954 24021907 24151036 35183486 37889908 42264313 48043814 58188073 66307339 70366972 84528626 96087628 116376146 123142201 132614678 169057252 232752292 246284402 265229356 407316511 492568804 756444949 814633022 861995407 1512889898 1629266044 1723990814 2851215577 3025779796 3447981628 5295114643 5702431154 10590229286 11404862308 21180458572 37065802501 74131605002 148263210004