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84806068608 = 2733109722369
BaseRepresentation
bin100111011111011010…
…1011110100110000000
322002220021120122201000
41032332311132212000
52342140323143413
6102543120212000
76061400455302
oct1167665364600
9262807518630
1084806068608
1132a698a6608
121452946a000
137cc6a526b1
144167197972
1523153b9073
hex13bed5e980

84806068608 has 128 divisors (see below), whose sum is σ = 250535052000. Its totient is φ = 28241657856.

The previous prime is 84806068601. The next prime is 84806068619. The reversal of 84806068608 is 80686060848.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84806068601) 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, 3780048 + ... + 3802416.

Almost surely, 284806068608 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 84806068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125267526000).

84806068608 is an abundant number, since it is smaller than the sum of its proper divisors (165728983392).

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

84806068608 is a wasteful number, since it uses less digits than its factorization.

84806068608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23489 (or 23471 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 84806068608 in words is "eighty-four billion, eight hundred six million, sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1097 1152 1728 2194 3291 3456 4388 6582 8776 9873 13164 17552 19746 22369 26328 29619 35104 39492 44738 52656 59238 67107 70208 78984 89476 105312 118476 134214 140416 157968 178952 201321 210624 236952 268428 315936 357904 402642 421248 473904 536856 603963 631872 715808 805284 947808 1073712 1207926 1263744 1431616 1610568 1895616 2147424 2415852 2863232 3221136 3791232 4294848 4831704 6442272 8589696 9663408 12884544 19326816 24538793 25769088 38653632 49077586 73616379 77307264 98155172 147232758 196310344 220849137 294465516 392620688 441698274 588931032 662547411 785241376 883396548 1177862064 1325094822 1570482752 1766793096 2355724128 2650189644 3140965504 3533586192 4711448256 5300379288 7067172384 9422896512 10600758576 14134344768 21201517152 28268689536 42403034304 84806068608