Search a number
-
+
148698038000 = 2453162745697
BaseRepresentation
bin1000101001111100010…
…1111111111011110000
3112012211000120222202202
42022133011333323300
54414013144204000
6152151055002332
713512606316451
oct2123705777360
9465730528682
10148698038000
11580761908a6
122499a8093a8
1311039908445
1472a88bd128
153d04652dd5
hex229f17fef0

148698038000 has 80 divisors (see below), whose sum is σ = 359780719584. Its totient is φ = 59441356800.

The previous prime is 148698037991. The next prime is 148698038003. The reversal of 148698038000 is 830896841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1486980380002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148698038003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231152 + ... + 3276848.

Almost surely, 2148698038000 is an apocalyptic number.

148698038000 is a gapful number since it is divisible by the number (10) 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 148698038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179890359792).

148698038000 is an abundant number, since it is smaller than the sum of its proper divisors (211082681584).

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

148698038000 is a wasteful number, since it uses less digits than its factorization.

148698038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47347 (or 47331 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 148698038000 in words is "one hundred forty-eight billion, six hundred ninety-eight million, thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1627 2000 3254 6508 8135 13016 16270 26032 32540 40675 45697 65080 81350 91394 130160 162700 182788 203375 228485 325400 365576 406750 456970 650800 731152 813500 913940 1142425 1627000 1827880 2284850 3254000 3655760 4569700 5712125 9139400 11424250 18278800 22848500 45697000 74349019 91394000 148698038 297396076 371745095 594792152 743490190 1189584304 1486980380 1858725475 2973960760 3717450950 5947921520 7434901900 9293627375 14869803800 18587254750 29739607600 37174509500 74349019000 148698038000