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3542121036 = 2233412513187
BaseRepresentation
bin1101001100100000…
…0111101001001100
3100010212010101121000
43103020013221030
524223240333121
61343251540300
7153530350326
oct32310075114
910125111530
103542121036
111558486a63
1282a2ba690
13445ac670c
14258604616
1515ae7c526
hexd3207a4c

3542121036 has 96 divisors (see below), whose sum is σ = 9447701760. Its totient is φ = 1146960000.

The previous prime is 3542121017. The next prime is 3542121043. The reversal of 3542121036 is 6301212453.

3542121036 is a `hidden beast` number, since 3 + 542 + 12 + 103 + 6 = 666.

It is a super-3 number, since 3×35421210363 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109835 + ... + 1113021.

It is an arithmetic number, because the mean of its divisors is an integer number (98413560).

Almost surely, 23542121036 is an apocalyptic number.

3542121036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542121036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723850880).

3542121036 is an abundant number, since it is smaller than the sum of its proper divisors (5905580724).

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

3542121036 is a wasteful number, since it uses less digits than its factorization.

3542121036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3542121036 is about 59515.7209147297. The cubic root of 3542121036 is about 1524.3608947526.

Adding to 3542121036 its reverse (6301212453), we get a palindrome (9843333489).

The spelling of 3542121036 in words is "three billion, five hundred forty-two million, one hundred twenty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 251 369 492 502 738 753 1004 1107 1476 1506 2214 2259 3012 3187 4428 4518 6374 6777 9036 9561 10291 12748 13554 19122 20582 27108 28683 30873 38244 41164 57366 61746 86049 92619 114732 123492 130667 172098 185238 261334 277857 344196 370476 392001 522668 555714 784002 799937 1111428 1176003 1568004 1599874 2352006 2399811 3199748 3528009 4704012 4799622 7056018 7199433 9599244 14112036 14398866 21598299 28797732 32797417 43196598 65594834 86393196 98392251 131189668 196784502 295176753 393569004 590353506 885530259 1180707012 1771060518 3542121036