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2050017216 = 263131748313
BaseRepresentation
bin111101000110000…
…1100011111000000
312021212110122221120
41322030030133000
513144301022331
6535230552240
7101541600402
oct17214143700
95255418846
102050017216
119621aa305
12492668680
1326893a550
14156398b72
15bee92796
hex7a30c7c0

2050017216 has 112 divisors (see below), whose sum is σ = 6184965024. Its totient is φ = 593657856.

The previous prime is 2050017133. The next prime is 2050017239. The reversal of 2050017216 is 6127100502.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 18276 + ... + 66588.

It is an arithmetic number, because the mean of its divisors is an integer number (55222902).

Almost surely, 22050017216 is an apocalyptic number.

2050017216 is a gapful number since it is divisible by the number (26) 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 2050017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092482512).

2050017216 is an abundant number, since it is smaller than the sum of its proper divisors (4134947808).

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

2050017216 is a wasteful number, since it uses less digits than its factorization.

2050017216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48358 (or 48348 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2050017216 is about 45277.1158092032. The cubic root of 2050017216 is about 1270.3376488718.

Adding to 2050017216 its reverse (6127100502), we get a palindrome (8177117718).

The spelling of 2050017216 in words is "two billion, fifty million, seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 5304 7072 10608 14144 21216 42432 48313 96626 144939 193252 289878 386504 579756 628069 773008 821321 1159512 1256138 1546016 1642642 1884207 2319024 2463963 2512276 3092032 3285284 3768414 4638048 4927926 5024552 6570568 7536828 9276096 9855852 10049104 10677173 13141136 15073656 19711704 20098208 21354346 26282272 30147312 32031519 39423408 40196416 42708692 52564544 60294624 64063038 78846816 85417384 120589248 128126076 157693632 170834768 256252152 341669536 512504304 683339072 1025008608 2050017216