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5090102736 = 24317192911321
BaseRepresentation
bin1001011110110010…
…01100110111010000
3111010201221000021120
410233121030313100
540411031241421
62201030322240
7240065105445
oct45731146720
914121830246
105090102736
112182259584
12ba07b9380
13631718514
143640379cc
151ebd038c6
hex12f64cdd0

5090102736 has 160 divisors (see below), whose sum is σ = 15162422400. Its totient is φ = 1460551680.

The previous prime is 5090102729. The next prime is 5090102777. The reversal of 5090102736 is 6372010905.

It is a junction number, because it is equal to n+sod(n) for n = 5090102697 and 5090102706.

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 31 ways as a sum of consecutive naturals, for example, 443956 + ... + 455276.

It is an arithmetic number, because the mean of its divisors is an integer number (94765140).

Almost surely, 25090102736 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 5090102736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581211200).

5090102736 is an abundant number, since it is smaller than the sum of its proper divisors (10072319664).

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

5090102736 is a wasteful number, since it uses less digits than its factorization.

5090102736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397 (or 11391 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 5090102736 is about 71344.9559254191. The cubic root of 5090102736 is about 1720.1864247185.

The spelling of 5090102736 in words is "five billion, ninety million, one hundred two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 29 34 38 48 51 57 58 68 76 87 102 114 116 136 152 174 204 228 232 272 304 323 348 408 456 464 493 551 646 696 816 912 969 986 1102 1292 1392 1479 1653 1938 1972 2204 2584 2958 3306 3876 3944 4408 5168 5916 6612 7752 7888 8816 9367 11321 11832 13224 15504 18734 22642 23664 26448 28101 33963 37468 45284 56202 67926 74936 90568 112404 135852 149872 181136 192457 215099 224808 271704 328309 384914 430198 449616 543408 577371 645297 656618 769828 860396 984927 1154742 1290594 1313236 1539656 1720792 1969854 2309484 2581188 2626472 3079312 3441584 3656683 3939708 4618968 5162376 5252944 5581253 6237871 7313366 7879416 9237936 10324752 10970049 11162506 12475742 14626732 15758832 16743759 18713613 21940098 22325012 24951484 29253464 33487518 37427226 43880196 44650024 49902968 58506928 66975036 74854452 87760392 89300048 99805936 106043807 133950072 149708904 175520784 212087614 267900144 299417808 318131421 424175228 636262842 848350456 1272525684 1696700912 2545051368 5090102736