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85483085616 = 243414922971
BaseRepresentation
bin100111110011100110…
…0000101111100110000
322011122110111200110000
41033213030011330300
52400032132214431
6103134223110000
76114231144645
oct1174714057460
9264573450400
1085483085616
1133286a784a5
1214698142300
1380a40a5986
1441cd06bdcc
152354a4b9e6
hex13e7305f30

85483085616 has 150 divisors (see below), whose sum is σ = 249168322172. Its totient is φ = 28293598080.

The previous prime is 85483085609. The next prime is 85483085647. The reversal of 85483085616 is 61658038458.

85483085616 is a `hidden beast` number, since 8 + 5 + 48 + 30 + 8 + 561 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28771011 + ... + 28773981.

Almost surely, 285483085616 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 85483085616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124584161086).

85483085616 is an abundant number, since it is smaller than the sum of its proper divisors (163685236556).

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

85483085616 is a wasteful number, since it uses less digits than its factorization.

85483085616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 85483085616 in words is "eighty-five billion, four hundred eighty-three million, eighty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 149 162 216 298 324 432 447 596 648 894 1192 1296 1341 1788 2384 2682 2971 3576 4023 5364 5942 7152 8046 8913 10728 11884 12069 16092 17826 21456 22201 23768 24138 26739 32184 35652 44402 47536 48276 53478 64368 66603 71304 80217 88804 96552 106956 133206 142608 160434 177608 193104 199809 213912 240651 266412 320868 355216 399618 427824 442679 481302 532824 599427 641736 799236 885358 962604 1065648 1198854 1283472 1328037 1598472 1770716 1798281 1925208 2397708 2656074 3196944 3541432 3596562 3850416 3984111 4795416 5312148 7082864 7193124 7968222 9590832 10624296 11952333 14386248 15936444 21248592 23904666 28772496 31872888 35856999 47809332 63745776 65959171 71713998 95618664 131918342 143427996 191237328 197877513 263836684 286855992 395755026 527673368 573711984 593632539 791510052 1055346736 1187265078 1583020104 1780897617 2374530156 3166040208 3561795234 4749060312 5342692851 7123590468 9498120624 10685385702 14247180936 21370771404 28494361872 42741542808 85483085616