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6982408692 = 223271071272039
BaseRepresentation
bin1101000000010111…
…10001100111110100
3200000121122010001100
412200023301213310
5103244444034232
63112505130100
7335013331440
oct64013614764
920017563040
106982408692
112a63429aa6
12142a489930
13873786c9c
144a349b820
152acee1c7c
hex1a02f19f4

6982408692 has 144 divisors (see below), whose sum is σ = 20530298880. Its totient is φ = 1959806016.

The previous prime is 6982408687. The next prime is 6982408709. The reversal of 6982408692 is 2968042896.

It is a happy number.

It is a super-2 number, since 2×69824086922 = 97508062284234301728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3423409 + ... + 3425447.

It is an arithmetic number, because the mean of its divisors is an integer number (142571520).

Almost surely, 26982408692 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 6982408692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265149440).

6982408692 is an abundant number, since it is smaller than the sum of its proper divisors (13547890188).

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

6982408692 is a wasteful number, since it uses less digits than its factorization.

6982408692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6982408692 is about 83560.8083493691. The cubic root of 6982408692 is about 1911.3274118284.

The spelling of 6982408692 in words is "six billion, nine hundred eighty-two million, four hundred eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 127 214 252 254 321 381 428 508 642 749 762 889 963 1143 1284 1498 1524 1778 1926 2039 2247 2286 2667 2996 3556 3852 4078 4494 4572 5334 6117 6741 8001 8156 8988 10668 12234 13482 13589 14273 16002 18351 24468 26964 27178 28546 32004 36702 40767 42819 54356 57092 73404 81534 85638 95123 122301 128457 163068 171276 190246 218173 244602 256914 258953 285369 380492 436346 489204 513828 517906 570738 654519 776859 856107 872692 1035812 1141476 1309038 1527211 1553718 1712214 1812671 1963557 2330577 2618076 3054422 3107436 3424428 3625342 3927114 4581633 4661154 5438013 6108844 7250684 7854228 9163266 9322308 10876026 13744899 16314039 18326532 21752052 27489798 27707971 32628078 54979596 55415942 65256156 83123913 110831884 166247826 193955797 249371739 332495652 387911594 498743478 581867391 775823188 997486956 1163734782 1745602173 2327469564 3491204346 6982408692