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990286444280 = 2357231011522487
BaseRepresentation
bin11100110100100011010…
…10111111011011111000
310111200002202122200001002
432122101222333123320
5112211101312204110
62034533055144132
7131355135614420
oct16322152773370
93450082580032
10990286444280
11351a839767a1
1213bb10b15048
13724caa41033
1435d04369480
151ab5dadaaa5
hexe691abf6f8

990286444280 has 128 divisors (see below), whose sum is σ = 2683476449280. Its totient is φ = 321549043200.

The previous prime is 990286444253. The next prime is 990286444283. The reversal of 990286444280 is 82444682099.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990286444283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110804 + ... + 1411683.

It is an arithmetic number, because the mean of its divisors is an integer number (20964659760).

Almost surely, 2990286444280 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 990286444280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341738224640).

990286444280 is an abundant number, since it is smaller than the sum of its proper divisors (1693190005000).

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

990286444280 is a wasteful number, since it uses less digits than its factorization.

990286444280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522629 (or 1522625 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 56.

The spelling of 990286444280 in words is "nine hundred ninety billion, two hundred eighty-six million, four hundred forty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 101 115 140 161 184 202 230 280 322 404 460 505 644 707 805 808 920 1010 1288 1414 1610 2020 2323 2828 3220 3535 4040 4646 5656 6440 7070 9292 11615 14140 16261 18584 23230 28280 32522 46460 65044 81305 92920 130088 162610 325220 650440 1522487 3044974 6089948 7612435 10657409 12179896 15224870 21314818 30449740 35017201 42629636 53287045 60899480 70034402 85259272 106574090 140068804 153771187 175086005 213148180 245120407 280137608 307542374 350172010 426296360 490240814 615084748 700344020 768855935 980481628 1076398309 1225602035 1230169496 1400688040 1537711870 1960963256 2152796618 2451204070 3075423740 3536737301 4305593236 4902408140 5381991545 6150847480 7073474602 8611186472 9804816280 10763983090 14146949204 17683686505 21527966180 24757161107 28293898408 35367373010 43055932360 49514322214 70734746020 99028644428 123785805535 141469492040 198057288856 247571611070 495143222140 990286444280