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4292139544448 = 2775997183617
BaseRepresentation
bin111110011101010111011…
…100111110111110000000
3120012022202120210012202212
4332131113130332332000
51030310300210410243
613043440502201252
7622045135110440
oct76352734767600
916168676705685
104292139544448
111405316971308
12593a18a23228
132519932920c2
1410ba52540120
15769ad535318
hex3e75773ef80

4292139544448 has 128 divisors (see below), whose sum is σ = 9948267590400. Its totient is φ = 1806426685440.

The previous prime is 4292139544367. The next prime is 4292139544489. The reversal of 4292139544448 is 8444459312924.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

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, 51289136 + ... + 51372752.

It is an arithmetic number, because the mean of its divisors is an integer number (77720840550).

Almost surely, 24292139544448 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 4292139544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974133795200).

4292139544448 is an abundant number, since it is smaller than the sum of its proper divisors (5656128045952).

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

4292139544448 is an equidigital number, since it uses as much as digits as its factorization.

4292139544448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84668 (or 84656 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 59.

The spelling of 4292139544448 in words is "four trillion, two hundred ninety-two billion, one hundred thirty-nine million, five hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 413 448 472 826 896 944 971 1652 1888 1942 3304 3776 3884 6608 6797 7552 7768 13216 13594 15536 26432 27188 31072 52864 54376 57289 62144 83617 108752 114578 124288 167234 217504 229156 334468 401023 435008 458312 585319 668936 802046 870016 916624 1170638 1337872 1604092 1833248 2341276 2675744 3208184 3666496 4682552 4933403 5351488 6416368 7332992 9365104 9866806 10702976 12832736 18730208 19733612 25665472 34533821 37460416 39467224 51330944 69067642 74920832 78934448 81192107 138135284 157868896 162384214 276270568 315737792 324768428 552541136 568344749 631475584 649536856 1105082272 1136689498 1299073712 2210164544 2273378996 2598147424 4420329088 4546757992 4790334313 5196294848 9093515984 9580668626 10392589696 18187031968 19161337252 33532340191 36374063936 38322674504 67064680382 72748127872 76645349008 134129360764 153290698016 268258721528 306581396032 536517443056 613162792064 1073034886112 2146069772224 4292139544448