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21910038048 = 25321036771091
BaseRepresentation
bin10100011001111100…
…001010011000100000
32002112221121020212200
4110121330022120200
5324332432204143
614022040053200
71403644151643
oct243174123040
962487536780
1021910038048
119323710968
1242b5764200
1320b2314472
1410bbc43a5a
158837ad1d3
hex519f0a620

21910038048 has 144 divisors (see below), whose sum is σ = 63062266176. Its totient is φ = 7215137280.

The previous prime is 21910038041. The next prime is 21910038049. The reversal of 21910038048 is 84083001912.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21910038041) 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, 20081983 + ... + 20083073.

It is an arithmetic number, because the mean of its divisors is an integer number (437932404).

Almost surely, 221910038048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21910038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31531133088).

21910038048 is an abundant number, since it is smaller than the sum of its proper divisors (41152228128).

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

21910038048 is a wasteful number, since it uses less digits than its factorization.

21910038048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21910038048 in words is "twenty-one billion, nine hundred ten million, thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 677 824 927 1091 1236 1354 1648 1854 2031 2182 2472 2708 3273 3296 3708 4062 4364 4944 5416 6093 6546 7416 8124 8728 9819 9888 10832 12186 13092 14832 16248 17456 19638 21664 24372 26184 29664 32496 34912 39276 48744 52368 64992 69731 78552 97488 104736 112373 139462 157104 194976 209193 224746 278924 314208 337119 418386 449492 557848 627579 674238 738607 836772 898984 1011357 1115696 1255158 1348476 1477214 1673544 1797968 2022714 2215821 2231392 2510316 2696952 2954428 3347088 3595936 4045428 4431642 5020632 5393904 5908856 6647463 6694176 8090856 8863284 10041264 10787808 11817712 13294926 16181712 17726568 20082528 23635424 26589852 32363424 35453136 53179704 70906272 76076521 106359408 152153042 212718816 228229563 304306084 456459126 608612168 684688689 912918252 1217224336 1369377378 1825836504 2434448672 2738754756 3651673008 5477509512 7303346016 10955019024 21910038048