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54402675205100 = 225212715592747707
BaseRepresentation
bin11000101111010100111000…
…01000010110001111101100
321010121211210222021211120012
430113222130020112033230
524112313134323030400
6311412124410312352
714313315002252105
oct1427523410261754
9233554728254505
1054402675205100
1116375054973262
126127729a286b8
1324481c5171731
14d611641273ac
156452122ebd35
hex317a9c2163ec

54402675205100 has 72 divisors (see below), whose sum is σ = 119059726356480. Its totient is φ = 21575866777920.

The previous prime is 54402675205091. The next prime is 54402675205103. The reversal of 54402675205100 is 150257620445.

54402675205100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54402675205103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18425447 + ... + 21173153.

Almost surely, 254402675205100 is an apocalyptic number.

54402675205100 is a gapful number since it is divisible by the number (50) 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 54402675205100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59529863178240).

54402675205100 is an abundant number, since it is smaller than the sum of its proper divisors (64657051151380).

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

54402675205100 is a wasteful number, since it uses less digits than its factorization.

54402675205100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749407 (or 2749400 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 41.

The spelling of 54402675205100 in words is "fifty-four trillion, four hundred two billion, six hundred seventy-five million, two hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 1559 2540 3118 3175 6236 6350 7795 12700 15590 31180 38975 77950 155900 197993 395986 791972 989965 1979930 2747707 3959860 4949825 5495414 9899650 10990828 13738535 19799300 27477070 54954140 68692675 137385350 274770700 348958789 697917578 1395835156 1744793945 3489587890 4283675213 6979175780 8567350426 8723969725 17134700852 17447939450 21418376065 34895878900 42836752130 85673504260 107091880325 214183760650 428367521300 544026752051 1088053504102 2176107008204 2720133760255 5440267520510 10880535041020 13600668801275 27201337602550 54402675205100