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990421021820 = 2253159197313723
BaseRepresentation
bin11100110100110011011…
…00010111010001111100
310111200110010212220201102
432122121230113101330
5112211340240144240
62034554303432232
7131361361531646
oct16323154272174
93450403786642
10990421021820
113520429348aa
1213bb49bb5678
137251c8a0209
1435d1819b896
151ab6a820815
hexe699b1747c

990421021820 has 96 divisors (see below), whose sum is σ = 2184632432640. Its totient is φ = 376672193280.

The previous prime is 990421021801. The next prime is 990421021829. The reversal of 990421021820 is 28120124099.

It is a super-2 number, since 2×9904210218202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990421021829) 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, 72165479 + ... + 72179201.

It is an arithmetic number, because the mean of its divisors is an integer number (22756587840).

Almost surely, 2990421021820 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 990421021820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092316216320).

990421021820 is an abundant number, since it is smaller than the sum of its proper divisors (1194211410820).

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

990421021820 is a wasteful number, since it uses less digits than its factorization.

990421021820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15795 (or 15793 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 990421021820 in words is "nine hundred ninety billion, four hundred twenty-one million, twenty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1829 1973 3658 3946 7316 7892 9145 9865 13723 18290 19730 27446 36580 39460 54892 61163 68615 116407 122326 137230 232814 244652 274460 305815 425413 465628 582035 611630 809657 850826 1164070 1223260 1619314 1701652 2127065 2328140 3238628 3608617 4048285 4254130 7217234 8096570 8508260 14434468 16193140 18043085 25099367 27075479 36086170 50198734 54150958 72172340 100397468 108301916 125496835 135377395 250993670 270754790 501987340 541509580 839339849 1597453261 1678679698 3194906522 3357359396 4196699245 6389813044 7987266305 8393398490 15974532610 16786796980 31949065220 49521051091 99042102182 198084204364 247605255455 495210510910 990421021820