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4121995536 = 2432167181947
BaseRepresentation
bin1111010110110000…
…1010100100010000
3101122021021001212100
43311230022210100
531420212324121
61521004400400
7204101245461
oct36554124420
911567231770
104121995536
11182583928a
12970546100
13508c96a19
142b162cd68
15191d22026
hexf5b0a910

4121995536 has 120 divisors (see below), whose sum is σ = 11681377344. Its totient is φ = 1356791040.

The previous prime is 4121995513. The next prime is 4121995601. The reversal of 4121995536 is 6355991214.

4121995536 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 99 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4121995491 and 4121995500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4352215 + ... + 4353161.

Almost surely, 24121995536 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 4121995536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840688672).

4121995536 is an abundant number, since it is smaller than the sum of its proper divisors (7559381808).

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

4121995536 is a wasteful number, since it uses less digits than its factorization.

4121995536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 4121995536 is about 64202.7689122518. The cubic root of 4121995536 is about 1603.3776998638.

The spelling of 4121995536 in words is "four billion, one hundred twenty-one million, nine hundred ninety-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 181 334 362 501 543 668 724 947 1002 1086 1336 1448 1503 1629 1894 2004 2172 2672 2841 2896 3006 3258 3788 4008 4344 5682 6012 6516 7576 8016 8523 8688 11364 12024 13032 15152 17046 22728 24048 26064 30227 34092 45456 60454 68184 90681 120908 136368 158149 171407 181362 241816 272043 316298 342814 362724 474447 483632 514221 544086 632596 685628 725448 948894 1028442 1088172 1265192 1371256 1423341 1450896 1542663 1897788 2056884 2176344 2530384 2742512 2846682 3085326 3795576 4113768 4352688 5693364 6170652 7591152 8227536 11386728 12341304 22773456 24682608 28624969 57249938 85874907 114499876 171749814 228999752 257624721 343499628 457999504 515249442 686999256 1030498884 1373998512 2060997768 4121995536