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6834892320240 = 2435107266156243
BaseRepresentation
bin110001101110101111101…
…0101000010110111110000
3220012102001101201210221220
41203131133111002313300
51343440324413221430
622311523422545040
71303543001100315
oct143353725026760
926172041653856
106834892320240
1121a5730590846
12924793738180
133a76b212abba
14198b4c230d0c
15bcbd063a110
hex6375f542df0

6834892320240 has 80 divisors (see below), whose sum is σ = 21386186517888. Its totient is φ = 1805603945728.

The previous prime is 6834892320211. The next prime is 6834892320247. The reversal of 6834892320240 is 420232984386.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6834892320247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133052442 + ... + 133103801.

Almost surely, 26834892320240 is an apocalyptic number.

6834892320240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6834892320240 is an abundant number, since it is smaller than the sum of its proper divisors (14551294197648).

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

6834892320240 is a wasteful number, since it uses less digits than its factorization.

6834892320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266156366 (or 266156360 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 6834892320240 in words is "six trillion, eight hundred thirty-four billion, eight hundred ninety-two million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 6420 8560 12840 25680 266156243 532312486 798468729 1064624972 1330781215 1596937458 2129249944 2661562430 3193874916 3992343645 4258499888 5323124860 6387749832 7984687290 10646249720 12775499664 15969374580 21292499440 28478718001 31938749160 56957436002 63877498320 85436154003 113914872004 142393590005 170872308006 227829744008 284787180010 341744616012 427180770015 455659488016 569574360020 683489232024 854361540030 1139148720040 1366978464048 1708723080060 2278297440080 3417446160120 6834892320240