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249990000208 = 241319391916141
BaseRepresentation
bin1110100011010010010…
…0001010111001010000
3212220021020021210222121
43220310210022321100
513043434420001313
6310502133144024
724026661640564
oct3506444127120
9786236253877
10249990000208
1197024924263
124054918b014
131a75cc9a460
14c15736b6a4
156781ee128d
hex3a3490ae50

249990000208 has 80 divisors (see below), whose sum is σ = 549241235200. Its totient is φ = 109272706560.

The previous prime is 249990000191. The next prime is 249990000283. The reversal of 249990000208 is 802000099942.

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, 15479818 + ... + 15495958.

It is an arithmetic number, because the mean of its divisors is an integer number (6865515440).

Almost surely, 2249990000208 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 249990000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274620617600).

249990000208 is an abundant number, since it is smaller than the sum of its proper divisors (299251234992).

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

249990000208 is a wasteful number, since it uses less digits than its factorization.

249990000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20100 (or 20094 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 249990000208 in words is "two hundred forty-nine billion, nine hundred ninety million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3919 3952 7838 15676 16141 31352 32282 50947 62704 64564 74461 101894 129128 148922 203788 209833 258256 297844 306679 407576 419666 595688 613358 815152 839332 967993 1191376 1226716 1678664 1935986 2453432 3357328 3871972 3986827 4906864 7743944 7973654 15487888 15947308 31894616 63256579 63789232 126513158 253026316 506052632 822335527 1012105264 1201875001 1644671054 2403750002 3289342108 4807500004 6578684216 9615000008 13157368432 15624375013 19230000016 31248750026 62497500052 124995000104 249990000208