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1048082010900 = 2235219183874037
BaseRepresentation
bin11110100000001101000…
…11100101001100010100
310201012021122012122200120
433100012203211030110
5114132432443322100
62121252054511540
7135502310046561
oct17200643451424
93635248178616
101048082010900
11374541a76391
1214b1606655b0
1377aab876972
1438a28149868
151c3e2a480a0
hexf4068e5314

1048082010900 has 72 divisors (see below), whose sum is σ = 3192053299680. Its totient is φ = 264778611840.

The previous prime is 1048082010887. The next prime is 1048082010923. The reversal of 1048082010900 is 90102808401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91931319 + ... + 91942718.

Almost surely, 21048082010900 is an apocalyptic number.

1048082010900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1048082010900 is an abundant number, since it is smaller than the sum of its proper divisors (2143971288780).

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

1048082010900 is a wasteful number, since it uses less digits than its factorization.

1048082010900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183874073 (or 183874066 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 1048082010900 in words is "one trillion, forty-eight billion, eighty-two million, ten thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 183874037 367748074 551622111 735496148 919370185 1103244222 1838740370 2206488444 2758110555 3493606703 3677480740 4596850925 5516221110 6987213406 9193701850 10480820109 11032442220 13790552775 13974426812 17468033515 18387403700 20961640218 27581105550 34936067030 41923280436 52404100545 55162211100 69872134060 87340167575 104808201090 174680335150 209616402180 262020502725 349360670300 524041005450 1048082010900