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148717810900 = 225261116320963
BaseRepresentation
bin1000101010000001000…
…1011011010011010100
3112012212101210120002101
42022200101123103110
54414033224422100
6152153042451444
713513236351421
oct2124021332324
9465771716071
10148717810900
115808636653a
12249a5363b84
1311040a3c399
1472ab388d48
153d0625b86a
hex22a045b4d4

148717810900 has 72 divisors (see below), whose sum is σ = 328305799584. Its totient is φ = 58458825600.

The previous prime is 148717810889. The next prime is 148717810903. The reversal of 148717810900 is 9018717841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148717810903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7083819 + ... + 7104781.

It is an arithmetic number, because the mean of its divisors is an integer number (4559802772).

Almost surely, 2148717810900 is an apocalyptic number.

148717810900 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 148717810900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164152899792).

148717810900 is an abundant number, since it is smaller than the sum of its proper divisors (179587988684).

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

148717810900 is a wasteful number, since it uses less digits than its factorization.

148717810900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22201 (or 22194 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 46.

The spelling of 148717810900 in words is "one hundred forty-eight billion, seven hundred seventeen million, eight hundred ten thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1163 1220 1525 2326 3050 4652 5815 6100 11630 20963 23260 29075 41926 58150 70943 83852 104815 116300 141886 209630 283772 354715 419260 524075 709430 1048150 1278743 1418860 1773575 2096300 2557486 3547150 5114972 6393715 7094300 12787430 24379969 25574860 31968575 48759938 63937150 97519876 121899845 127874300 243799690 487599380 609499225 1218998450 1487178109 2437996900 2974356218 5948712436 7435890545 14871781090 29743562180 37179452725 74358905450 148717810900