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290919919092 = 2231122937186727
BaseRepresentation
bin1000011101111000010…
…11011010110111110100
31000210220201011010101020
410032330023122313310
514231300444402332
6341351411301140
730006160340265
oct4167413326764
91023821133336
10290919919092
1110241878a100
12484705aa7b0
13215838c047a
141011b24296c
15787a46482c
hex43bc2dadf4

290919919092 has 144 divisors (see below), whose sum is σ = 792727582080. Its totient is φ = 82816715520.

The previous prime is 290919918979. The next prime is 290919919099.

It is a happy number.

290919919092 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2909199190922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290919919099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1464633 + ... + 1651359.

Almost surely, 2290919919092 is an apocalyptic number.

290919919092 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290919919092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396363791040).

290919919092 is an abundant number, since it is smaller than the sum of its proper divisors (501807662988).

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

290919919092 is a wasteful number, since it uses less digits than its factorization.

290919919092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186822 (or 186809 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 60.

The spelling of 290919919092 in words is "two hundred ninety billion, nine hundred nineteen million, nine hundred nineteen thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 37 44 58 66 74 87 111 116 121 132 148 174 222 242 319 348 363 407 444 484 638 726 814 957 1073 1221 1276 1452 1628 1914 2146 2442 3219 3509 3828 4292 4477 4884 6438 7018 8954 10527 11803 12876 13431 14036 17908 21054 23606 26862 35409 42108 47212 53724 70818 129833 141636 186727 259666 373454 389499 519332 560181 746908 778998 1120362 1557996 2053997 2240724 4107994 5415083 6161991 6908899 8215988 10830166 12323982 13817798 16245249 20726697 21660332 22593967 24647964 27635596 32490498 41453394 45187934 59565913 64980996 67781901 75997889 82906788 90375868 119131826 135563802 151995778 178697739 200358071 227993667 238263652 271127604 303991556 357395478 400716142 455987334 601074213 655225043 714790956 801432284 835976779 911974668 1202148426 1310450086 1671953558 1965675129 2203938781 2404296852 2507930337 2620900172 3343907116 3931350258 4407877562 5015860674 6611816343 7862700516 8815755124 10031721348 13223632686 24243326591 26447265372 48486653182 72729979773 96973306364 145459959546 290919919092