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6840870048 = 2532194672677
BaseRepresentation
bin1100101111011111…
…10110010010100000
3122122202022012112100
412113233312102200
5103002230320143
63050451330400
7331344302355
oct62757662240
918582265470
106840870048
1129a0546a11
1213aabb0a00
1385035b4cc
1448c77662c
152a08846d3
hex197bf64a0

6840870048 has 144 divisors (see below), whose sum is σ = 20529119520. Its totient is φ = 2154843648.

The previous prime is 6840870041. The next prime is 6840870061. The reversal of 6840870048 is 8400780486.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 6840869985 and 6840870012.

It is not an unprimeable number, because it can be changed into a prime (6840870041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2554086 + ... + 2556762.

It is an arithmetic number, because the mean of its divisors is an integer number (142563330).

Almost surely, 26840870048 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 6840870048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10264559760).

6840870048 is an abundant number, since it is smaller than the sum of its proper divisors (13688249472).

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

6840870048 is a wasteful number, since it uses less digits than its factorization.

6840870048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 6840870048 is about 82709.5523382880. The cubic root of 6840870048 is about 1898.3244737388.

The spelling of 6840870048 in words is "six billion, eight hundred forty million, eight hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 467 608 684 912 934 1368 1401 1824 1868 2677 2736 2802 3736 4203 5354 5472 5604 7472 8031 8406 8873 10708 11208 14944 16062 16812 17746 21416 22416 24093 26619 32124 33624 35492 42832 44832 48186 50863 53238 64248 67248 70984 79857 85664 96372 101726 106476 128496 134496 141968 152589 159714 192744 203452 212952 256992 283936 305178 319428 385488 406904 425904 457767 610356 638856 770976 813808 851808 915534 1220712 1250159 1277712 1627616 1831068 2441424 2500318 2555424 3662136 3750477 4882848 5000636 7324272 7500954 10001272 11251431 14648544 15001908 20002544 22502862 23753021 30003816 40005088 45005724 47506042 60007632 71259063 90011448 95012084 120015264 142518126 180022896 190024168 213777189 285036252 360045792 380048336 427554378 570072504 760096672 855108756 1140145008 1710217512 2280290016 3420435024 6840870048