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851016420672 = 263112267177743
BaseRepresentation
bin11000110001001001000…
…10000000110101000000
310000100121210112102122120
430120210202000311000
5102420340200430142
61450541311204240
7115324660136235
oct14304442006500
93010553472576
10851016420672
112a8a06646730
12118b23816680
1362334485742
142d291a7978c
151720c00d7ec
hexc624880d40

851016420672 has 112 divisors (see below), whose sum is σ = 2457440197632. Its totient is φ = 257768558080.

The previous prime is 851016420649. The next prime is 851016420673. The reversal of 851016420672 is 276024610158.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851016420673) 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, 4699033 + ... + 4876775.

It is an arithmetic number, because the mean of its divisors is an integer number (21941430336).

Almost surely, 2851016420672 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 851016420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228720098816).

851016420672 is an abundant number, since it is smaller than the sum of its proper divisors (1606423776960).

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

851016420672 is a wasteful number, since it uses less digits than its factorization.

851016420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180036 (or 180026 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 851016420672 in words is "eight hundred fifty-one billion, sixteen million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2267 4534 6801 9068 13602 18136 24937 27204 36272 49874 54408 72544 74811 99748 108816 145088 149622 177743 199496 217632 299244 355486 398992 435264 533229 598488 710972 797984 1066458 1196976 1421944 1595968 1955173 2132916 2393952 2843888 3910346 4265832 4787904 5687776 5865519 7820692 8531664 11375552 11731038 15641384 17063328 23462076 31282768 34126656 46924152 62565536 93848304 125131072 187696608 375393216 402943381 805886762 1208830143 1611773524 2417660286 3223547048 4432377191 4835320572 6447094096 8864754382 9670641144 12894188192 13297131573 17729508764 19341282288 25788376384 26594263146 35459017528 38682564576 53188526292 70918035056 77365129152 106377052584 141836070112 212754105168 283672140224 425508210336 851016420672