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535138139880192 = 28321131710417487
BaseRepresentation
bin111100110101101001000111…
…0101110111011101100000000
32121011202201002001221112101210
41321223102032232323230000
51030120200402302131232
65134051022334330120
7220501311655044612
oct17153221656735400
92534681061845353
10535138139880192
111455698a0a37a22
1250029434359940
1319c7a405279774
149620b77734db2
1541d02876885cc
hex1e6b48ebbbb00

535138139880192 has 144 divisors (see below), whose sum is σ = 1435512178340352. Its totient is φ = 176973918965760.

The previous prime is 535138139880187. The next prime is 535138139880247. The reversal of 535138139880192 is 291088931831535.

It is a super-2 number, since 2×5351381398801922 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46160473 + ... + 56577959.

It is an arithmetic number, because the mean of its divisors is an integer number (9968834571808).

Almost surely, 2535138139880192 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 535138139880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717756089170176).

535138139880192 is an abundant number, since it is smaller than the sum of its proper divisors (900374038460160).

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

535138139880192 is a wasteful number, since it uses less digits than its factorization.

535138139880192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418034 (or 10418020 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 66.

The spelling of 535138139880192 in words is "five hundred thirty-five trillion, one hundred thirty-eight billion, one hundred thirty-nine million, eight hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 256 317 384 422 633 634 768 844 951 1266 1268 1688 1902 2532 2536 3376 3804 5064 5072 6752 7608 10128 10144 13504 15216 20256 20288 27008 30432 40512 40576 54016 60864 66887 81024 81152 121728 133774 162048 200661 243456 267548 401322 535096 802644 1070192 1605288 2140384 3210576 4280768 6421152 8561536 10417487 12842304 17123072 20834974 25684608 31252461 41669948 51369216 62504922 83339896 125009844 166679792 250019688 333359584 500039376 666719168 1000078752 1333438336 2000157504 2198089757 2666876672 3302343379 4000315008 4396179514 6594269271 6604686758 8000630016 8792359028 9907030137 13188538542 13209373516 17584718056 19814060274 26377077084 26418747032 35169436112 39628120548 52754154168 52837494064 70338872224 79256241096 105508308336 105674988128 140677744448 158512482192 211016616672 211349976256 281355488896 317024964384 422033233344 422699952512 562710977792 634049928768 696794452969 844066466688 845399905024 1268099857536 1393588905938 1688132933376 2090383358907 2536199715072 2787177811876 4180766717814 5574355623752 8361533435628 11148711247504 16723066871256 22297422495008 33446133742512 44594844990016 66892267485024 89189689980032 133784534970048 178379379960064 267569069940096 535138139880192