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10227848016 = 243679113491
BaseRepresentation
bin10011000011010000…
…01001001101010000
3222101210111111211210
421201220021031100
5131421312114031
64410522140120
7511312162611
oct114150111520
928353444753
1010227848016
114379398661
121b95351640
13c6cc75099
146d0513c08
153ecdb8746
hex261a09350

10227848016 has 80 divisors (see below), whose sum is σ = 26853424128. Its totient is φ = 3353750400.

The previous prime is 10227848009. The next prime is 10227848027. The reversal of 10227848016 is 61084872201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2928031 + ... + 2931521.

Almost surely, 210227848016 is an apocalyptic number.

10227848016 is a gapful number since it is divisible by the number (16) 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 10227848016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426712064).

10227848016 is an abundant number, since it is smaller than the sum of its proper divisors (16625576112).

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

10227848016 is a wasteful number, since it uses less digits than its factorization.

10227848016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 10227848016 in words is "ten billion, two hundred twenty-seven million, eight hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 911 1072 1608 1822 2733 3216 3491 3644 5466 6982 7288 10473 10932 13964 14576 20946 21864 27928 41892 43728 55856 61037 83784 122074 167568 183111 233897 244148 366222 467794 488296 701691 732444 935588 976592 1403382 1464888 1871176 2806764 2929776 3180301 3742352 5613528 6360602 9540903 11227056 12721204 19081806 25442408 38163612 50884816 76327224 152654448 213080167 426160334 639240501 852320668 1278481002 1704641336 2556962004 3409282672 5113924008 10227848016