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290716394399296 = 2623613606189783
BaseRepresentation
bin100001000011001111010111…
…1011010110010011001000000
31102010100012211101011111200121
41002012132233122302121000
5301101044133431234141
62510145133505230024
7115143365160043465
oct10206365732623100
91363305741144617
10290716394399296
11846a414874aa28
1228732950332314
13c62a5910cca18
1451b0a6a0c766c
152392301e231d1
hex10867af6b2640

290716394399296 has 112 divisors (see below), whose sum is σ = 611864717937408. Its totient is φ = 136753643980800.

The previous prime is 290716394399269. The next prime is 290716394399303. The reversal of 290716394399296 is 692993493617092.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3237944421 + ... + 3238034203.

Almost surely, 2290716394399296 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 290716394399296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305932358968704).

290716394399296 is an abundant number, since it is smaller than the sum of its proper divisors (321148323538112).

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

290716394399296 is a wasteful number, since it uses less digits than its factorization.

290716394399296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125940 (or 125930 counting only the distinct ones).

The product of its (nonzero) digits is 2142770112, while the sum is 79.

The spelling of 290716394399296 in words is "two hundred ninety trillion, seven hundred sixteen billion, three hundred ninety-four million, three hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 122 184 244 368 488 736 976 1403 1472 1952 2806 3904 5612 11224 22448 36061 44896 72122 89783 89792 144244 179566 288488 359132 576976 718264 829403 1153952 1436528 1658806 2065009 2199721 2307904 2873056 3317612 4130018 4399442 5476763 5746112 6635224 8260036 8798884 10953526 13270448 16520072 17597768 21907052 26540896 33040144 35195536 43814104 50593583 53081792 66080288 70391072 87628208 101187166 125965549 132160576 140782144 175256416 202374332 251931098 350512832 404748664 503862196 809497328 1007724392 1618994656 2015448784 3237664763 3237989312 4030897568 6475329526 8061795136 12950659052 25901318104 51802636208 74466289549 103605272416 148932579098 197497550543 207210544832 297865158196 394995101086 595730316392 789990202172 1191460632784 1579980404344 2382921265568 3159960808688 4542443662489 4765842531136 6319921617376 9084887324978 12639843234752 18169774649956 36339549299912 72679098599824 145358197199648 290716394399296