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55434007098 = 2388774817
BaseRepresentation
bin110011101000000111…
…111101001000111010
312022002021212100000000
4303220013331020322
51402012101211343
641244355053430
74001464200021
oct635007751072
9168067770000
1055434007098
1121567063008
12a8b08a1276
1352c57b8a42
14297c2c98b8
15169697aed3
hexce81fd23a

55434007098 has 72 divisors (see below), whose sum is σ = 124888312692. Its totient is φ = 18453101184.

The previous prime is 55434007091. The next prime is 55434007141. The reversal of 55434007098 is 89070043455.

55434007098 is a `hidden beast` number, since 55 + 43 + 400 + 70 + 98 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55292230449 + 141776649 = 235143^2 + 11907^2 .

It is a super-2 number, since 2×554340070982 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55434007091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11505586 + ... + 11510402.

Almost surely, 255434007098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55434007098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62444156346).

55434007098 is an abundant number, since it is smaller than the sum of its proper divisors (69454305594).

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

55434007098 is an frugal number, since it uses more digits than its factorization.

55434007098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 55434007098 in words is "fifty-five billion, four hundred thirty-four million, seven thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 877 1458 1754 2187 2631 4374 4817 5262 6561 7893 9634 13122 14451 15786 23679 28902 43353 47358 71037 86706 130059 142074 213111 260118 390177 426222 639333 780354 1170531 1278666 1917999 2341062 3511593 3835998 4224509 5753997 7023186 8449018 10534779 11507994 12673527 21069558 25347054 31604337 38020581 63208674 76041162 114061743 228123486 342185229 684370458 1026555687 2053111374 3079667061 6159334122 9239001183 18478002366 27717003549 55434007098