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6685531440 = 2435723173021
BaseRepresentation
bin1100011100111110…
…10001110100110000
3122020221000012000120
412032133101310300
5102142444001230
63023222050240
7324450036210
oct61637216460
918227005016
106685531440
1129208987a5
121366b79980
13827110683
14475c9c240
15291ded310
hex18e7d1d30

6685531440 has 160 divisors (see below), whose sum is σ = 24715846656. Its totient is φ = 1461672960.

The previous prime is 6685531429. The next prime is 6685531453. The reversal of 6685531440 is 441355866.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6685531392 and 6685531401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47871 + ... + 125150.

Almost surely, 26685531440 is an apocalyptic number.

6685531440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6685531440 is an abundant number, since it is smaller than the sum of its proper divisors (18030315216).

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

6685531440 is a wasteful number, since it uses less digits than its factorization.

6685531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173067 (or 173061 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 6685531440 is about 81765.0991560580. The cubic root of 6685531440 is about 1883.8456290499.

The spelling of 6685531440 in words is "six billion, six hundred eighty-five million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 173021 346042 519063 692084 865105 1038126 1211147 1384168 1730210 2076252 2422294 2595315 2768336 3460420 3633441 3979483 4152504 4844588 5190630 6055735 6920840 7266882 7958966 8305008 9689176 10381260 11938449 12111470 13841680 14533764 15917932 18167205 19378352 19897415 20762520 23876898 24222940 27856381 29067528 31835864 36334410 39794830 41525040 47753796 48445880 55712762 58135056 59692245 63671728 72668820 79589660 83569143 95507592 96891760 111425524 119384490 139281905 145337640 159179320 167138286 191015184 222851048 238768980 278563810 290675280 318358640 334276572 417845715 445702096 477537960 557127620 668553144 835691430 955075920 1114255240 1337106288 1671382860 2228510480 3342765720 6685531440