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3542121054 = 2321752322133
BaseRepresentation
bin1101001100100000…
…0111101001011110
3100010212010101121200
43103020013221132
524223240333204
61343251540330
7153530350353
oct32310075136
910125111550
103542121054
111558486a7a
1282a2ba6a6
13445ac6724
1425860462a
1515ae7c539
hexd3207a5e

3542121054 has 48 divisors (see below), whose sum is σ = 8141947632. Its totient is φ = 1109078784.

The previous prime is 3542121047. The next prime is 3542121091. The reversal of 3542121054 is 4501212453.

3542121054 is a `hidden beast` number, since 3 + 542 + 12 + 105 + 4 = 666.

3542121054 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×35421210543 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 148972 + ... + 171104.

It is an arithmetic number, because the mean of its divisors is an integer number (169623909).

Almost surely, 23542121054 is an apocalyptic number.

3542121054 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542121054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070973816).

3542121054 is an abundant number, since it is smaller than the sum of its proper divisors (4599826578).

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

3542121054 is a wasteful number, since it uses less digits than its factorization.

3542121054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22681 (or 22678 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3542121054 is about 59515.7210659503. The cubic root of 3542121054 is about 1524.3608973347.

The spelling of 3542121054 in words is "three billion, five hundred forty-two million, one hundred twenty-one thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 523 1046 1569 3138 4707 8891 9414 17782 22133 26673 44266 53346 66399 80019 132798 160038 199197 376261 398394 752522 1128783 2257566 3386349 6772698 11575559 23151118 34726677 69453354 104180031 196784503 208360062 393569006 590353509 1180707018 1771060527 3542121054