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148205184096 = 2531901812101
BaseRepresentation
bin1000101000000110110…
…1111010010001100000
3112011112200012102022110
42022001231322101200
54412011011342341
6152030131235320
713464443164554
oct2120155722140
9464480172273
10148205184096
1157942a65422
1224881748b40
1310c8b785c08
14725d267864
153cc624c216
hex2281b7a460

148205184096 has 48 divisors (see below), whose sum is σ = 389243737008. Its totient is φ = 49375680000.

The previous prime is 148205184079. The next prime is 148205184097. The reversal of 148205184096 is 690481502841.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148205184097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223555 + ... + 588546.

It is an arithmetic number, because the mean of its divisors is an integer number (8109244521).

Almost surely, 2148205184096 is an apocalyptic number.

148205184096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

148205184096 is an abundant number, since it is smaller than the sum of its proper divisors (241038552912).

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

148205184096 is a wasteful number, since it uses less digits than its factorization.

148205184096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814015 (or 814007 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 148205184096 in words is "one hundred forty-eight billion, two hundred five million, one hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1901 3802 5703 7604 11406 15208 22812 30416 45624 60832 91248 182496 812101 1624202 2436303 3248404 4872606 6496808 9745212 12993616 19490424 25987232 38980848 77961696 1543804001 3087608002 4631412003 6175216004 9262824006 12350432008 18525648012 24700864016 37051296024 49401728032 74102592048 148205184096