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890420234284 = 2272311065113759
BaseRepresentation
bin11001111010100010010…
…11101000100000101100
310011010022220202120011201
430331101023220200230
5104042040034444114
61521015311455244
7121221305053300
oct14752113504054
93133286676151
10890420234284
11313697011049
1212469bb27524
1365c73b76199
143114cdb3d00
15182664cc874
hexcf512e882c

890420234284 has 72 divisors (see below), whose sum is σ = 1871425167360. Its totient is φ = 369237204000.

The previous prime is 890420234233. The next prime is 890420234339. The reversal of 890420234284 is 482432024098.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64708597 + ... + 64722355.

Almost surely, 2890420234284 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 890420234284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935712583680).

890420234284 is an abundant number, since it is smaller than the sum of its proper divisors (981004933076).

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

890420234284 is a wasteful number, since it uses less digits than its factorization.

890420234284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24459 (or 24450 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 890420234284 in words is "eight hundred ninety billion, four hundred twenty million, two hundred thirty-four thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 1519 3038 6076 10651 13759 21302 27518 42604 55036 74557 96313 149114 192626 298228 330181 385252 426529 521899 660362 674191 853058 1043798 1320724 1348382 1706116 2087596 2311267 2696764 2985703 4622534 5971406 9245068 11942812 16178869 20899921 32357738 41799842 64715476 83599684 146547109 293094218 586188436 1025829763 2051659526 4103319052 4542960379 7180808341 9085920758 14361616682 18171841516 28723233364 31800722653 63601445306 127202890612 222605058571 445210117142 890420234284